Crane tp 410 flow of fluids

KyriakosMichalaki 6,360 views 134 slides Jul 17, 2021
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About This Presentation

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Technical Paper No.410 e Metric Edition

FLOW OF FLUIDS
THROUGH VALVES,

FITTINGS, AND PIPE.

SI Units

CRANE

THE VALVE EXPERTS

FLOW OF FLUIDS

THROUGH
VALVES, FITTINGS, AND PIPE

METRIC EDITION = SI UNITS
| CRANE

THE VALVE EXPERTS

Crane Vales North America

Technic Paper No 610M

opere 1201

CRANE

Bibliography

ish gas Dir

"Satie tate

“prepare Gent
er. Se
Weges Be
WINE

cl Engrs New Yoo

en, D md co ns,

Saat Petition fe meet ey
EN Pme

as

pe Berge tr seme tr se

Seep, ate Na, Sep

daa ema

een a ee te

MB

UG. Tan RE pre, "oe Ba
E

UL E, Monty en Faces Pon ie: Der

ET o

er

"pl Taos

een
Br

Sa Be er RENE

oo RE.

le AA TS
fs b y

ER en our
"rst Devt tea
A OA

Ce

Re cht te”

Sunt of Hd ie Eth Bon, 1947
nto Gy Uae pr fea Pans

nn utes AE

FOREWORD

‘Toe more complex indus becomes, the move Tha Meet printing (1976 eto) pres
vi Dames te vole played Dy Ar de à concept change gun. the ns of
TGousual mache Ove honda year age East Length L/D" and Redes Co
‘ernest oly important id wich won cin rv and ing et to
Evora fom ore print to anota pre. the dalton ‘ator pros. Th sang had
Fo non every creed kl handed relay mios actas on poten aca
rot prenne wi Row cottons tat eet I Reyelds
aio, or sion. Tee as of atomic Comber lg o e tuo ame, However
‘regan ocio poner ha ded Mio. for Row lama on, ho ange MO
le edu, pone, agit ovarian of pues drop.
‘a Bertha il li ome, open, Conti wi the conceal ony de
E... dba or od move com se ach totor to flow thug vas ol ngs
Fs, ad, ad Hours are ea np sem o restan coset
Sein canard I pipe today. Nor lo de Een Of equal nth “0 and
frniportaton of Muss the only phase of the coma of abe and ins pe wat
deter wich warnt unten tow. expanded,
pdr and paste mechnume se ad
he coat af mode ict, Father important seins included the up
Fons ves, automstseequmest, ding of steam Tico) dt, aie seth
mado tol cota ad ceding Cono and soe cose
Fan. md eet ent loto
am where pei Ecol of fad ow TE SION was role m ca 1977 ma
fom spate sesion ofthe Bar punting of FP
“ios ra dt, th cer exept,
fre promedia of St ee a
85 eine es te pets of hydro ue In Mana whet pest
aed ud mean at ou eer enges: our the SI stm (og. Roma pe
his fous ecu) to Tanne Hse? Soe in he) ae nein to con ie
waht she lmentay ls of fd ow. er an ade paños, ar hte mern
To sat demand for sone end pal ha gt yet ten ached on De pete arte
unter the sect ot law a pig, lene Gato be nd (u for How cote)
o. pate in 19354 booklet ened Flow
OF Be une et Temeponon. A rd. Sic gis of TP. 610M, the TR
Lion og the met of Flow of Fais 410, a updated cata to wie nt
Fou Vacs, Fago, an Poe was pub. ou Information al. Arangenent of
MA 1960 Ten Paper Ne com> ho able in both ene They it
ple new sites nih anlage ect pinos in Caples Land prt
Frise 5 1887, In TP. 210, Cane nat Pin to ow problem a Chae aed
devoured te een tie DR salable à. sista roer of le nd ow
Sermon oo few of Zac, in mrmantes chances of va, ng, a pipe fe
Form tha aa dat noc 1 toe A A sna meo ont ane
Laon a al but he mon vrai fond ow ther Ut engin data ic Appa
len Most of the dus ce Sara vat nd
legs were abu y cuca conducted
From 195 unl pin, thee have been expesnens In te Cane Engng Lab
fscupritings ol Tonic Paper No 410. ateos Literal re a See me, None,
eth scene rating epa, se meer 0 otr ra were of a on th be
À de et Zw liormatos Sad due ed Be beet gen tee suse
ite Th comi pasta. ne bebe. the text To Dll 0! te
Sere the test era of the wes of A pro à une dr futher dy of
Pan. Retprosntel

CRANE LIMITED

rin an ean lu gt at go de us à pren m Ca Futon
‘tetera js yg artim ane Loves Py Cops Maa id.
Be a peng me

Table of Contents

cnapren 1 charren2 —
Traory of Flow in pe Flow of Fide
a nel: eerie ‘Through Valves ane Fittings a
Pays Proper Fe cnn aa; | ARS
Vies EE | Paso Vasa gs
pee 15 | Udine Spm 22
Se ay 1-3 | mesure Drop Cheste
Ansage DEEE -
Tate und Teal 14 | crane Fow Te
ea et a Mon cu Ie apart ied 33
RAI arm Cu | Water ow tes an
2 | Site ow te 2
Genre Ene Eguntion ello of Presas Drop
ne Re ds | Me Pare
Measrement of eure 11-8 | Reste Cort K, Squat Length
LD ed ow Contes 2
Dar Formats = | .
sz Enon or Flow of Fas 1-6 | Varia Fi onde se Dell
Ete ape Un pipe on LT | Conti ad Era in
agile of Conpreiie Flow in pe 1-3 | Vader with Rada Sets Par
hi sent equation ele
Simple compost tow — Reston of Ben. ze
spe efor 14
‘oer ga ed fim lo Resins of Min Ben Et

Sirene on pe Im
cn m
Lunn ow isa por

Sem = Cese Druion

— CHAPTERS

Forms and Nomographs for Flow
Through Valves, Fittings, and Pipe sox
Invade mmm

Samar FO cc BRIO SAS

Formulas and Nomoprapht
[rre Few
va ss |
Reyne ie ito cr or |
‘restive drop fr toronto mann
‘reir dp lr hana Mo
Fle though swe an wi

Formulas en: Nomogrpte
Eo Compraste Fon
VA rn 316
Reno fsb icon rer
‘dea sel poe ss |
pan o in
pied tm a A
A E

Fig Through Moats and Doe

Ger ==
a pa fw cc cc
Numan Fool oe

Tete ora
roe Mo o abe

Debt of Fits Though
aes Esad Pre

RE re
CES

charter

‘Examples of Flow Problems.

Reyna Number ad Fun Factor for
Fe Other tan Sel

Determination of Vale Resta L
BEE Fw Coca Cy

Check Vale - Determination Sie

Reduced Po Ves Valeo o Rat
on

Lemna Finn ate Figs nd Pp
Pres Drs nd Velo le Ping Sytem
pe Une Flow Pai

Dicer ot Fa fom ging Syne
Flow Though Die Mee

Appa yer Rain

AprENDIX A ADENDIX E:
Physical Properties of Fluids Engineering Data ee
and Flow Characteristics of A eS El

‘Valves, Fittings and Pipe

Introduction

Pe pate of Fide

‘mea sem sh
SF gl prieur pit A
VS crete ease A
VS o gi cia
een a

elton for perl is a

era sad specie
ea pa ne
Steam. alot oa

rl faa apa
volume orion
Propet: tata aes aes
Poses pee stein

o

hoe Chars ot

"SF cent Cor nous
Net Expres Caco F.
Tor forge Re
uth pino ato
For con pese Mo

Flow Charente.
tiger Vater on tonne
Nt eepustin fcr Pa umpresibie
moza pe lage Ro À
“eto acta for Compete lene À

pane lema pe

Representative Rance Coffe)
Rae and Pings oR" acto Tele

eng -
=

Pe a

Stop-check and fool va nn coman. A 28

Maier =

BEER, ga ac

Ester Volume and Bas,
FR Re 0 Compote Flat nn BB

Essen
ASC ya) nn one Bo
Kork, = BS

foe
Les

of Voy

Kem in Spi er
Kama ne Sp Fact meca
pene, Spat rns

SR Fatt A nun Be

A Univ Vies Chat Bs

Soba

Entero Dese AP
Dese Baus. Sele Gran, mé Det 7

nein St of Uni (Da B-8

Convention Eshalents
eat —
Sehne Be
ee we
me =
Me Foc
lema Rte cf iow
Broce ed ig ea
E a a

Fro That Sete 4 ee pe

su
A

Comer Ste Ps Data

Ghee ta 1000 ec Be
Sacto ion en
‘Stes Ste pe Dra se
Congr Ste Pipe Das
DER sn BAD
Power ous for Pong mb
Fent ~ Calis Temperature Corse. 8-22

MISCELLANEOUS

Ass of Typ Vr
Ge me ee
Tige de an Et
Gate Bd ut

ee}
Boza ne second paolo
Forever se hit page of Book
erent, se net pare

Nomenclature:

Ina book tnd a lions

LA ei meins sof ie oni gate
= coo anal ares ef peo oie, or on
ei ae une ete
2 y meetin ar US le tae

© flow suefiint forsee and oa
‘hare coccion cond fo slo of
E

Gg = dr cons fr oe and soler

& 2 ow cotée fr aes

ints dame ol pipe, a mures

© intra ameter of pen mieten

= has fatal logan » 2718

© see acto noma 2 =/L1/028

ae

Semicon
ies

The forma, ee HPS

=
A

TETAS

ams a
e ee
Coming conditions E

sere tt

BETEN

De

se À à qu rte to ar = de
e EOS

‘Bat of Gale ces)

= aba temperature, sn eis (273 +1)

4 2 Hep der Cae

‘eae volume of ud, im cubis metre per

aoe e

me el low, ete pa mite

are. cube meter

mean el of om, in ete pr wa

‘oul (or ea) msc of flow a us, in
oles par sacd

W satea a loprame per hour
te of Mo, logras persone
% ms in dans
F2 et expansion factor for compres Now
LN ones, nozzle, y po
Z = potem hend of sevaton above ssfesnce
En ete
rook tate

Em tte 08 sal 10 largo dite in oies and
os an conte o agent

Y cio of pei het a constant pene to
en hat constant volume = tte

ECTS about roughness of eff ag of spe
“ral regis milimetros

5 rum oo menu mean

I Same roy, neo seconds prue
‘ee (pce con)

= Kinemate soy, cenitokes

De 2 Seas anh mera ser nnd
= vols deity of Bld, ogame per cute
dc fad, ams pr cb eine
Te mace

9° age fcr ox deste in ne

suber for Dimar
eine se: damster
E elas age mes

Sabre for Fa Property
9)... del lt Gea) condition
9 11 ei outlet lowest) condition

Theory of Flow
In Pipe

CHAPTER 1

Tae most commonly employed method 1
‘eo ane polo anota 1.0 fe the flo ow

soups à ping stem. ge of cer sen I est
Freguraly Ud because a do lr os oa eater
statu sto, ut alo ne ros actina ae er
Sn of wal race han any other shape. ales others

ted, he word "pipe nls book wal ways wes 10 à
nd cond of Sear tion and coman etal
ee

Only afew seca robles nui mechanics... ir
on in io, for example» an e eto y
‘oa lema! st: other probleme rege
had of solution whch sox atest Pst, on expt
tently cetera scene, Many ep forms

proposed fr tbe prole of few in pie, bt

rt ited ná an e pi ely
‘ho the codi of the pote day porch the
Condon of the expecta from win the forme
seeder

Because of the eat sae of fasting bade! in
‘oder idos) roca, «ale equation wih can
te ied for the om of any fait pipe oes como
antag Such an equ the Dury forma. The
‘Darcy formula car be dent Hana by meas a dimen
here, oe aan the Toole
dicto ctor mst be determine experimental
price tothe Baldo ld
Es nous this pape.

crane

Physical Properties of Fluids

“tne oran of any tow problem saute a knowles of
Ihe physical popes ofthe ui being andre Acute
‘ales forthe proper affecting the fl of ede
Fame, vou 2 wat dns have ben eo
{uted by many athonties for all common ed is
And any of thet at ae prevented ate eu abet
na char Appendix À

Viso: ion expres the readiness wh which >
Mota ows whee À ets upon by an exe Tore
The coelho Dt waste sac oe simpy, te sb
Ite coi of it mestre SEHE raton fo
inter dran er ha, Molen a hy cout
$id water 3 Compania, much lr vias; an the
Vice lu qui ent Compare 19 a of wae.

Although mos Mud ae prcitbe a thle wou fe
ame, te vos depends upon the previos working oF
the i: Pune ik, wood pulp sare and eats re
sample offs poses uch thnotope properties
‘ote.

Corsidurble confusion est concerning the unio und to
‘expos coy rio proper isms beemployed
Mer ai tals al conto no formulae

Dynamic r Absolute Vis The coherent Stunt of
Snake dsc isthe pascal scons (a 3) whch may
So e expe’ ae the newton cond per square mete
(ye), oF ie logan por mer second hal 9)
“Th nt as aso bee ees the pleut (Fn Frunee
uti shoul te noted that eo the pa the pac
0) decides

The pois ithe conespondiag vl la tte COS system of
nt and ha the dimencon of don sende por uae
tien oF of plas per comite second. The tb
ile Senipoe (29,10: pose, the uni ma core
oot peat o expe Syne eco
or apa by o contin for some tone
rom nd ance mois handbooks and bi
foe the same proce, al coat dota Uns pape
ae expuso in Cepal. Tae slop been
ses cond and omar

er ee
DEN

is pepe he symbols used or cat measured
In canon for vost measured la pea econó
ae he alcoy of mer a tempacta of 20°C Ie
‘sy meni een 0: 00D! pa secos.

Kinematic Viscosity: Tis de evo of the dem
‘sony tothe dena inthe St sy the Ent OÙ
semi Vaso the men coated per eon")
‘The Comespentng COS una mos (8), amenos.
centenas sured pr send and de conto (SD.
TO stokes, the sel comme ee
ns 10" 6S

Er

mem

The merement of the able ty of Mae
(espera es nd vapeus) esas eben equipment
Sed comiera engere lO he oran
sion single msroment nthe one of ube comes
scaner san be ied fr mee the senal
coat of ls and otter cas Sud th i ype
Sf intent the ine regaled or a mal vola of
quid to ow tough sp one named and à
ataron of inate vasos expre i eta
oda

Var foun of tube time re ed eig in
El seas sch so Sant Ue, SD Fal
{for soy seats tue, Redueoë Mo snd No 2 and
Eur aomastion on te “elos boceto
para vice ne Kinetic and eye vico
est unt lidad Append 8

The ASTM star vont temperature fo ius
Pirleum prowl, produced on aga 86 6 nd o
crie de Saal Enea wea or à peal
produc st any tesserae wha the vices wo

ses tempestrs ae Arsen. The icons ome
‘ofthe mos common Alé e ger o apes A2 10 À.
rl be note tha, ith ste temper, the
aly of us cece, uhren the may of es
‘reyes, Theft of peste on he cosy oF has
fed pec pss lso a dat eof no petal

pec aed by pursue aga,
abe A? showing the econ of a. Unfors,
Be eh on vapour ve compte a. eve ce,
ented. Danone, i apaño when del,
St pon other than sere AM de ae! 9
ri Dean a th ack dose Ste.

CRANE

LOW NE 12

Physical Properties of Fluids ~ continued

Density, specific volume and pei rot The ers

ane 13 mas er un olmo The cabaret 1
at of donate the topes par bl mtr in)
nthe smb designation uni hs paper (RO)

(ther commonly wed met nt ae

re per eu centimere (em 1 ajeno
a Fr
ren per mie im) cdo ham

‘The cobren SI uni of specie volume, ich te
fecpocal of deny, De cae sete Per og
ota)

pet

‘ter orimoniy va merous or pee volume re

sheng
oran

ice per ram (re)
Foo mee

cs sien pr age (de)

The vation In density and eter properties of weet
Shy change tempera a oi om ape A THe
‘Ges of other common ise ee shows on page AT
Une voy hin pene els core eee
of prema on the denen of igs bf no pen
Iona in Now prob.

“The dens f gases and vagus, however, ae ge

sited ey pesa change. For the sated crec

Dei the Deny can be computed om the form.
er „Mr

Ar

“The evga cman Ris éqa ote sve
anna Ay (ST A mol dde bythe molec
cd ps,

Bo. B14

poke BH nak

Vous of Res well a ater call qu constants, a
siren on page AS, The deny of alt for als
Scedioas f tempeate and preso ean be found on
page Ae.

Spree volume is commonly aed in tam dos come
Dutton ad valves alte he tea ler show
Un poget Add to A7 À cho for deeming th
at an pee value of ae e on page ALL

Specie say (er rte dem) a lative mesure
D doe ice presse hs an mega aie pos
‘he deny of gas, open he oy condon
at stu be conil dept the Da or
opos roy. Te pete panty ofa igi the rato
At spe Tempe o Da of va
ra semper Usaly he tempera
fin tn Same ad SUENO (18°01156°0) I cum
mac wed Roun 10 ISHC/15%C does nr see
ey ice rr

A éme can be und to mest he pci ray
Eig desc. Two hydramser sale ln amos

A ce, sd or où.
‘Bunt cl. Tr
ñ

tuo Keds in we: one for
ds ber than water und oe fr Ike er

Tas long between tte Aydrométr sales and
spent ganıy ae
mis

SRO” rn

SERIEN =

Trae road

sen a

Far comes home sings to more sal unis
cales tl pu br

‘Te pci pry of gts I dead as he stig ofthe
molar wes ofthe pio tat of wane ne aio
[hese nda a conan ot dt tt

Gi) MG)
"pa " Ma

a

Nature of Flow in Pipe —

A ample experiment (tated abe) wl ey how
there re two eel flees types of Mow pipe. The
pin const of esta masta lacra
Fie nt ut Rowing in is pie aed aan he
Iehavour ofthese coloured veo st een wen
run om ts pois lino

Tr the sche or aveo valet ama, Nees of
soured ld os in siti, dou au LL
‘he ow ates rly incas tse sree ml
oa o Now Sah Uns uta lots ech
‘chen the wera wil mover and die bei ite
{ined parteras, as shown in Fute 12. The wy at
‘whch al ocu cae the ae ell. At
oies higher than “rea” the fleets te persed
random througout the mi body of the Na, ae
Down Fe 1

‘The type of low when ot at ltr tones nam
“cl anc air os sd, ae, =
Le by the pide of coocente sods pu pat
fe notes in oda alos. Va de fale at
13 im at Ihe ale ss and dete sal to
sew at thew

At lace restr than “ext he owen
In turbulent om, ther an nenas dom motion al
Ai parses in sections rase to the diction af
{he main flow The vac run taba How
de mese olor aros the pipe lets than infant
Aw. Even ou ue mation est Uca
the grat: ponen of te pio Gare, te baja

ln ayer of ud atthe pipe wall... eo a he
boundary layer or “amine ab SUR
mn les

‘Mean velocity of low: The tr: "wos" ues othe

vie uated, fn te ean, or wen ell a a

Ben tow section, s demi by he sonny que.
or steady sate Dow

aon

Reason” veloces for u In den woth
are ass

Shea tra a aw

Laminer and Turbulont

Reynolds number: The work of Otome Reynolds hat
Shown atthe tore of flow a pipe tats whether
A harina or trade depends on he pre
amet, the deny und ca of the Sowing Ad,
{nd se oc of Row Tox muera ve fs men
Sri comia of the four vea nn a
Royale number may be cosas 1 Ge ie ao of
the meme Frcs of mus Gow tthe Sen oo o
col. Reyes number

(ote tome eun: pat 32)
For encina purpose, flow in pipes le umaly ca
‘Sed tobe lar 1 o Reynolds sumer Is ae
2000. and turbulent {te Reynolds nombre rete
‘Gan 4000. Berwsen thee two pls ler the “eii
{one here te fw Dig laminar, ln, o in
EC prose a chia, senda pen may poe
ao hay show hatte Dar tone my Sade
F2 liste ar a Royal amer st low a 1200 o
send ae high 1 40000, but lee ondiiens sr not
‘hpeted ose male noinuy rss

yd rads: Occasional à const france
‘os seston eacouttee, In cali he Regal
ida forthe condi, te quiet meter (cr
mes th hyde radian bates for he caca
‘Shere La cin Tacto gue a panes Ada and
a

get few ces
wat peer

Tas apli co ay dins cont (clas condi ot
Aang, om, ome or rectangle) but ot to
‘evenly arom pos such 3 anna or legates
Spins, baso wists small eave to length. I uch
hte eae rai approxunatly equi to one
at ie eth te parao

An

To determine quali o folio formu:
par
0020/27

the value of of ess upon an equal ameter of
{il ow arn and fy mt for

General Energy Equation
Bernoulls Theorem

Tre Bern eo a ments of eprsing te plane, our 1 the mie of the ein head the
aplican ofthe aw of corserton of oy fo tne prestar hd and veloc en, a fm
o of Muda n'a cont Te ot em at tay par

hr pol sve sone alla lona tom | Paty
CM

LE fon loss ae acte and mo emy added 9,
e ten Hom pois apie ey pump or ue)
{he tot head, te shoe equ wl Be con
fee ay polla e Qui. Hower natal pre
lene eet tte or deceit ao encore
ed ma: Le clued I Brot equation, Es
erg Blanco map Se writen for tee pot laa A,
ete de core Figure I

Note ih pipe fn Fm pont 11 point 2 (A)
y be weed tous the ead fom in motes of EN,
“Te egiten may write flows

A | arta A

A ‘A pac omas fr flow of ua ae der
See Sermon Capra BSE AGE {tom Seoul tec, with modifico to seco

Measurement of Pasture

Fru LS ph tes the clio between

yee a Shite peces Fat acu enon oust

3° sth sce of he earth, bo nein make a
‘Sims ur tr temen o! pre.

Drome pese emo pre

"Standan” amosehene meine 5 101325 to
GES Be) or 70 sles mer.

i
Î

Ga rare à mo soe smash pra
Sch aioe pro aye esto pol mea
date

Pac à de dereen of prie co 13 ato:
‘phen ea Kain to vader condor à often
snc by expresen te abat peso in tee ofthe
ght eta alma Pere of of water Mimete of
Seuss, mere (mern) Y men, eh of wea
Sah of marcar, ae ote ol he commonly wech
ren te

Al np et nt fc nk nf be Br

crane

Darey's Formula
General Equation for Flow of Fluids

Flow sn pip says accompacod by kin of id
paris fina agua oe tote! tod coment,
Elm of energy sala for mont ole won bere
‘ust be à pure drop in e decian elo If
‘rina Bourdon tubo preste gus were comas
to rape conti lowing fla shown Fu 1,

Pah soude 1 @ ER

Moher see pre
Mami

Burgen,
The gen equation for pre dp, Ena 2
Dates forma and express in mati of fl, 5
hy fhm 259. Tis Sao may be writen tenes
esate dro th newton pr square mete (pad) by
ban of proper ms, fons

ste

rn

(ac + hun px 50) Eman ta
“Tae Dury equation a for iar ott ow
ty ai à pipe lower when exes lis
‘curing es pipe case the dota: rae al
tothe vous press ale M ocn osu an
fitted Mow ates wl de aan, Win cie
esto, the Day equation may de und when ges
nd vapours (compres fe sg ane. Ts
‘ero ae deed où age 1

Euston 14 ges the sin pesar ue often and
ps o ple of omen amenas ce Oude of
‘Enon constant ely ao ae, wheat
Hein, vr, o oping. Por aid pp, vertical
pe o ip of vas ame se hase i reste
A io changes in chain, veloc and Jam of che
‘vid mest bv nade ac nee soa ots
(Gee Foran xan nn a i, ene

Freon factor: The Duy formula ca be stonaiy
dered by denesoral aay, with scr of Ue
tacon ‘ety, Y, which mus be oimied expe
‘meray The fn har fr hir om sonia
he < 2000) à function of Rees number ony
ra, fr trola ow (Ry > 400), da fae
on ofthe characte of be pp al

1 felon know asthe “ele ono” ce seven
Keynotes member of aros 2000 ad 400, ln
1 region, e Mon may e het ma essen
depen pon seve cor thx nce args
son os del of don and tem, meh a
‘aves 1 e upstream png. The en air 8
Felon ndeminue 40 has loner lone edo
Tamer Row an upper ests a ce tin Mon

[At Besos numbers so approximately £00, Now

onion api become more sable and fine fon
son san do exalted, Ta kapotat Deca it
abi: the engines to etree thew martes
of ay fad Ding in a pipe prod te cou and
Sosy a Rowing condos ar non. For hs ean,
Eaton 1 1 econmendes in prelrene Lo same of
the commody how empl equations forthe of
vee. land othe ues, 8 nel ar fr the ow of
‘Smee Huis when este pri mean

Whe fw taa (€ 200) te on fet may
bed

en

ann 52000842

hich Poe la For Ticas ow

hen the is cabales, > 400), Ih con tor
pence not on upon the Rey erde Sut ao
pon there engines [4 cp of te
Pipe nl (9) s compared to the dite of he pipe
(a), Fos es sooth pios such =) deve bras abr,
rd gis, te Frc ator decrees more ely vi.
in Reynoie amer tan fe pipe seh cepto
te ro wal,

Since the characte of the tral eof comercial
‘oe is pucca, Independent of the dci, de
Foc! he wal ak» ger att a o ton
factor in the sl Kae. Conquer, pipe of anal
ter wil approach the very rues

na, wi have be cn aci th
‘fete mae

The most fu and widely aceptes deta of Ion
faro for se ith the, Day formal hae een pre
send by LUE Moya and ae reproduce! or pags
IA to A. roer Moody Improved upon he wel,
Brand Pon and Kerr» o ar pra.
mp een ego nero,
Loop

“he sn to, ploted on page 25 on the anis
ete mages Pied Hor the char on pipe
1X25 aed the Reyne number, Te wale of fe et
Fine y horiontl pletion for he section of
the eid came under consdeetion with Ge celta
Reynolds number tothe If hand verted wale ofthe
AM on pipe AJA, Sec mor leon Insole

crane

Darey' Formal
neral Equation for Flow of Fluids — continued

‘commer e) or rent on pipe, the hat on pape
MS Y malted for oe diet slate Would Se
ep inne that fe Fen api to coa nm pipe

et of age an we on pipe fin: ition os in
pie i senil changes i Car and os oF
Bas. Foc ga at ol Hor ands fed ft eh

{epee dapper met of pipe vas rl tthe
IN per of De dinero ros, reduction
rer aus à 1% Age In prose bop. 38
een of dete erates pre ar DIE. In

many ses, the ini of pipe becomes ened
isi di tren other oe ates

Toft pruest to make alowance for 9
hanes

state, ant ut mn e pct
(at determined by the pipe mera and ptr of des
Huis span, in Asco te fet of san, ae a

inch alive sel pipe whch had lues
Sealed and is (tion [or mod 208 a ner
Beet modente ie

Principles of
Comprosihle Flow in Pipe

An cut demini of the preste dog of econ
Presse Tu Fut thong «pipe mu a how
edge of the rene been peste and pee
lle: ts no! easly Genin I ech parece
roo. The waa teren somite ste ducto
Foye (PV son) toa Sternen (PVs =
congo, Adubal Sow à umaly named in dc
ern inne pips Th woud be coment ne ns
Its tafe tor om pie, ene o th fst
"Na men once of host pense by rin
Nie te lon

‘Sheol, pty fr conecten ut more es seco
[Riser eae leg pact. Tae mon osa
‘tof otal How scr mau E pot inet
odes and Thompion show tnt qu Sow in ead
‘pei dom apposed ay thermal flow Tor
enon gh pices,

Sic the reo bete peso and volume ry
follow some er raton (72 = count ed
orp fw, werte AS iach MM
Etico on posi

ne deny of gus and poor change sooty

th hangs apresar hear, he res eo
Beinen and Pym Faure uy det ane
‘elo change apr,

When desing wath compres Aus, sch ai, sem.
ste, the following rales would se astra e
Spline me Dry forms

the cae guess dep (PP) sl han
out OR of the ile: prestar 2 cena acne
ey wll be blo if he speci tame ed the
fomals se Seed pon wiser te ups or dows
‘vam condone, whos ae Ann

abe lad pére dp (=) rater
than bout 10%, bat ls thn Set 20% & et
‘remus A, di Deny equation muy be sed with
Feetonabie Secon by van speci olmo Di
Upon the were of psec aed dormir on
on: others, the nto genoa page 19 mu

3. Ror peter pre drops, uch sr often nc
fered tong ia ey, e mato rar othe
tho pugs oul be oo

Le

crane

Principles of Comprasibe Flow in Pipa — continued

Complete Sothern equation: The Now of as long
pipe line coy approximates hortera! condi,
Ae pére dog in such Ines ls ai lng eae to
he ile presse, an vation of tis problem fa ue
Sie the Latins of the Dar easton, An acute
émission of th Dow duracion flag CHE
ths tego can ne made dy tas the compl ae
‘hema equi

ey ey
=

The formals developed on the ba of tee setup

FD ee ni und Bra Keimen nt

Simples Compresibie Flow-Cas Pie Line Fora
Inthe preto of at pipe line engoertng, arzt
Asp badd Pros!

de gg a ess bc ee

Then, he formu or charge in a horizon pise may

| (ee)

Tis gun tthe complete otage if
the pipe in Long nd sho for sore es ie is
ot peste rg tol presses el

Since gs ow probes ar usa expre in ems of
falc metes por hour st andra contame con
Veal som Bat 172 follow

aye

nee. /TE ES

Other commonly ue forms for compre flowin
Tong pipes.

Weymouth forma

tement
=

CE
Sm

Pace formula» for patr gu iz ns $10
Zine Games. Royal mtn © 310° do
KENT mes, 208

[opa]

oh = 208 x 19 Ea

‘Inflow efieno factor £ celine sa pains
factor ans al asado e 0930 90% forage
operating ondo. Sarge nl for É for ster
eating condone gen om pape 3

Note; The pressure Pie a the farcis equations
rim tems of news per mar meo. F eins
terms of presten Bam. prea ed

Comparison of fomuls for compres ein pipe
lines" Equine 17,18, and 13 9 eed Lam the
sine See foro, Dt dr i the sence of da
‘ofr the deerme fe oe fio.

Freon factors in acens wth the Moody di
am are nomaly ws nt te Simple Comps
Flow formu (at LD, Bones he see fe
tion ftom employé inthe Nom or Parle
formals ae wed in te Sel om, ett

The Mero ein factor” 1 dee

he Moody fr fet a the aly
rule Dow range to 20404 1D. pipe only Wey
‘nowt Ton actor ee grates than ody fates
for es less than 2040, und aval, for St er
than ne

Terme nn és
pense (52,5
3)

ln the Now range to whch the Panta formula de
limite, ths relate fin cn tar ae Dover
thar tose Ova fom los the Mody date oe te
Woman faction formate Ay à res, flow ras
ned by yhtlon & die Punkande foma are
‘ually gate Man shove nee by employing eier
{he Siapiied Comprenble Flow foma win Mossy
{eves factors, othe Maya four

An explo he itn in Dow rater which may de
Seed for pe encom by pong test
Formulas sn oa pie ET

crane

Principles of Compresible Flow in Pie ~ continued

Limit flow of pus and vapour: Tre feo sot
fee the prestó formal! (pain LA aná LE
253 ino o en te of ow (om We)
SÍ compres Mud in» Bes mi a gen Ur
Pre wal appresh acon mo se ll A

Io et mo Matter how Much the devas
Fre ter eds

The maximum vlsety of à conprenibe Bud m pipe
1 Émis y the slot of propagation oa pie
eave which el atthe ers of tun inthe Md
Shoe prestar a off nd vc increases à Ru
proceeds downeeam in pipe of uniform cro ween,
ie maximum velocity oct in ih doma end of
‘he pie fhe rene ep seen gt eit
‘ely wl rest the slot of send. Further de
In he or pres ot be upset Ba
the presu wave can nly tela sone ety sed
‘be Signal” wil neve ae prea, The “ia
Pre trop ostia à lowering the oui ste
er the ria hate ts aledy sen tel
{ates lace beyond the wef the poe Ts pesar 6
lat shock waves an lens Of eV i

The mau poble met inthe pie a ono
‘elt, ch express

ne RT SPP

he sale fy the ato of ape ss a om
Dr 10 soto sua, 14 fo ma aoe
Basse pat AT a AD los acs 7 pnd
‘isn dc. ts cy wil ca tie at
ler ected va shen tn pn 9p à
Anden nigh The pe paris ae
‘Shanes an cesa pate aos Wen
Sipe li Se hed tac
‘Ber peo orm er een tea se fp
sos "ation te tow i sl canard e

a on pe having log f 220 tnd 130 pipe danses
ram at fo she neigen of the com

pice torial nays of abate owt ha Id to à
as fr eublstrg conection aio, which may ar
Ebi ene De cas fr snd ef oe
pee eses tor open ar Cargo
In Bid proger duet pac 9 he Bul sey Soe
brid a et expansion factor pan A

The Day femme chiding he 7 Fc,

nancies ve [EE
ee JF

une soni eres on pane)
ou e noted at hewn of E a ua
Corl estan colin e e pipe ao, ne
“rice an en loma whe ey end Jide 5
es ane pins

“Te peste dos, AP, 6 the eto 7/7 whet wed
Loi time of Y from the hart on page A,
Be eased ference Brut Ur ine presen
the peau ie we of leper crm een. Ina ae
Ang compre D o ticipate, DU 28
ds equ the it gue prom, où de ares
Dune aba In rer and ame her prete
Tis eof SP a aan cued in Euan die

20 or ale bla i ned the
{atc ator £ cane tthe charts on pa AS Woe
the mito of AM wang 87 ae defaed aber, le
Beyond be les Sf thee capes e da oe
loci scat m the point af die or Hoe
ln wit the pip, ad the iii vans or Y
nd AR ae dam feo the rasta th of
ihe acc pg: 22, rn be ein Eat LI

Alain of gation
ales er AY amd Pie ola Sermons in
‘hal age

“The hurts page A22 00 bars pon hegre
am (pal sa, a we eli Son
the cl en, Wh eld serie rs or ab eet
‘whch sports Tow a pect see. At
Example OF ha ps of Dow prole e eset en pag
on

“This condon of compone othe Hew though
‘esses an eu ota ed page 245, end te
ice of pss a mie

RANE

Steam

ener isumion

ter une: coma aumosptc cordon exits inte
om of sig. Wien 3 Souy of ater bated by
ns of sn exe dim, he emporte ot ee
‘te ste ad soon mal basi, wehbe nd fom
onto. ae ote on te sce, Tl phnamanın
[encon “bing”

‘hate are thee te! age athe procs of comer
Ste to apereaad neun. The wer muse Se Boe
Por sear sane formed ups con!
or uel these as ee completely doe

I tage one rat i ade to ab th epee ofthe
trae o tt bong po conrepondag 1 the pre
‘Sons under whlch the bra ated The tong
Pen taller to the ento or mur
Temperatur. foe smouat of bet seul toe the
tempera af the water fom 3°C to the ston

pects ss knows he ebay of the water or
semble st

In second sage ea aed to he ble mate an
under Conan pre codon he wae changed
to stem mont any Irene in temperstut. Ta the
‘poration or nen eat spe. Att tape, Wh the
Seen costa wi iu wae, te sam bin te
Sad kaven a Seated. I may be y ort
Spending cn the pneating Conti, “Dry” sated
Sean seg fee or mecanica mis wae ar
ler "Wet stunted sum conta war pre i
pens, Stud seam aay pes bara defi
temperate

AE te water i ates closed vel at complet
Fed, te pre wl e ar us bp 1 fom
compared by a ras temperature.

‘Stage thes cormences when seam a ny en remar
lo esta 19 à temperate hier than the temperate
trates tam a tat peste. The sea then sk
tobe Sopa

Heat sae of the fo of ng and the St uit fr at
formo ie he oo), Tas awry anal un or ery
nd ie more corvetent to arte joe (8)
(tere ner mule, megaloe QU)

‘The SI uni for es
tram (kg) or soma mi of thie ea and de eam
{Sb rois on pages AU fo A? pe dete info
tac on the weite enpy of tes, in termal
dome pur ign. (IAE). over Y wide Tage
ot pase and tempera conn The
hun an 10°C. Pom the ble pa 4.3 te
‘poss emp Geri heat) of ae bac atte
Pier to be 317% Lia and the space ely of
crono Quen heat) 25579 fg Coment, e
{Ou beat or scan of the pou, formed sn vi
le a1 bar pers theme ofthese we sane,
PR

it mass she ol per

“Te rain btw de joue andthe ati tena
Si (Bra) de by the equation

1 Bb = 2326p = 2326 ag

Flow of Fluids
Through Valves and Fittings

Charters af compete piping a,

Many texts on hydrate

bas boon devoted to the theory and
ithe sy of Mu ow in pips, Sas

abd ings to fw, ie
cay à leed dic of eb

CHAPTER 2

"nobel thle seat
{ce tothe ow of ids ene 0 dene th om

ob conducted etendws tee in Bar Encinas

Estomtorer an hr So pam nización in aer

liste: Thee tea fave een plement
thorough duty of al pb date on the meet
‘pend À contains dt rom thas say parte fess
He ings have been combina a ma aba fot

ike peste esp Up wave Ad A

Reprise rence 0 Dow of vacios

Ding opone te psn in the "Re Paste abe

nee

Te hat an page AO heats de raion tego
alt lng à pre mat and mete a pe
IS on ls ls dur af completo Leben, es

‘cee and pg e

A éseuen of the eaten! length and reas
Concent, a wel a the ow concent Cy methods
Pres top Dong ves and gee

San
presented ox pa 2810210

crane

Vales: The get valet ol salve dongs prestados
ty throug aient

LE waves were ché according to the estanco
‘hey offerte dom, those ohne à riety Now
Pa sc a us, ba, lo, and bute aver woul
iin the low sia cas ná toe having aang
In flow path ection sch as gobe and ange waves
‘toa alan he ih stance ds,

For phosopphie asians of some of te wort
«oramony und ale dns, is to ages A18 and
A9 Fo ize lara of type Ms and pe
Ben, sel sates see pagos A27 10 AD.

cies ss cts

Fins: Pins my
codo, expanding. or debas, Soc Hina À
{Sen cone se bate elbows, ic, may De lod
nai tings

Reducing o expanding iting a hom which han
the ae of dp. e i ce on
due and Bis "Detecting. ur. hero,
Sons, tetra ends ei care ose ch change

Some Ate, of enue, may be coles of sy
of the Fotos gamer sions In aston,
eee ace types such 35 coving ad us wich
fer ao aprecaie reste to Now at, theese,
teed nt be coded hee

Pressure Drop Chargeable To Valves and Fittings

When 4 db wir cli in ong tige plo
e union sametr he Sow patented y
‘he veloc dni econ te pipe deter, wi
ae à Srl aceras form, Ay impadenen in
the pipe which chango the decom of the whole
frum, or wen put fi wll ae de characte
fo pate and ane aleron, ci ar eet)
Teer get than that oma accompanying dow ke
a pipe. Boca vas and tings in à pele
tu he Dom put, ey produr an MONS

‘The lou of prenne produced by eave (or Stag)

ont of
1 The prese drop within he wae cf

2. The premure drop de apa poing in
xcs of that we walt normaly veer If
thee were o vale in the nes Th eet i
sal

3. The peste io I te donateur pli in
esse of that which mod normaly orc e
‘hve were no abe he line. Ts te e
AS

From the expedmena pin o sew a iit to
mur the tee Hons pato. The combis
Met the dase quest, however and this an be
Katy mesero by sol know methods

ones

Figure 2.1 thos so sation o pie ie 0 te sme
Gente ano long The upper seca comas Babe
vale. Tte prestar depa Py an AR, we
rene Beten the post acted, i weal de
‘Bund that af peto ban Py

Actual, the loss chargeable 1 3 vale of length "€
BAR, ns oe en à ction of pp enh
EEE The Jar extend in tein of estate
cocltcio "i of Ya ain ae eng a Bes
Sr pages AS lo A29 ich the ls de 10 he
tenho the ae or tig.

ru Enr abr ae ell for
Cond ater tam and af Now te or
‘tiny ats and per of ale and At

eo

‘The te pair shown in ire 23 16 vole

‘nm (Sinch) ae, aloe, and ae.
ie or 90 degree lt and fer can 2e ated
Vis ea water er ue The srl fg the
Me tes betas ‘permits ton of ange Ai
heehee stop chock va

Bing adele dunes
SL he vous tet
ome is teyond the sop
oF ts paper

ox fsa oft appart
soe fret

Sunted seem at 10 er le wahl at flow cts
3210 50006 ogamsfooue Toe wen à ro
he deed pase an ste determined a he
‘ee an wel upton and door Im de ts
pee

or tts on ser, tests dries pump ple
wate a e up 1 48 cube melo Dia
het ii.

Sale preso deren is mestre by meins of à

rot eoprcte o peromeer pops pata and

Govnteun fom ten, postion 1 inthe ange tet

in the lg tes econ

or the ange ts ten,
sea ones ft thes

Flow Tests

seston. Messe preure op fr de pipe alone
Pen pierometst ser 1 abs m the
pare crop trough e e Pur pip o ai
{he pr drop hago o val Son,

Reals of ome of ne ow tr conducted in e
Cine Engineering Laboitone a lo ln Fis
Balto 27 a e o pas lang

24 CHAPTER Flower subs anougu vauve ano ETA ___cnane

‘Grane Water Flow Tests

110200100

Water Flow Test — Curves 110 18

ma | er Jar ee | Nat“
NERE
iff ls ren hte vane
i] ey s
EE
.. Te
| 8 | 3° |S | camisetas ciate vane wi
| DE Certes

crane

Crane Ste Flow Tests

BY

Pet Drop ink

+ 2
in: E

1199091 br

¡Steam Flow Tests — Curves 19 to 31

PRES tartine re

Hoi Sema Bas |
ua E [18 | N von
na E | Eee at vate

“tava fr an ower wb whet ae (23 00 2) bd al val weve ot wath US ees,

CRANE.

Relationship of Pressure Drop to Velocity of Flow

Many experments fave shown that the he Ic due
to ves eed iting poporiond to constant pones
of he stout. When pierre drop or bend feet
plot aa velos or game coorinter the
fering oe e Deseos tight ne. Le e tue
Bet Hom rege ra value of the exponet of Sat
been found ts) fiom aout 12 to LA fr dien
desea of rvs and tng Howe, fv paco
papers, dean be named tha the peste op oF
fend tos de te the flow of aids the west
tte ih ae ig ar ne

lime of preso drop Lo velocity of flow ie
‘i forehead ny thaw ese fw Lo
Told the die in a wile open poso. The point of
devin Of the en cures fom a Ag Ann, a
flowed in Egon 28 and 26, des the Dow
Sorten, aces to support heck al din
the we open pas,

Mt ofthe des encountered ith check as,
‘Snare war of te moin ptt

do 138 br Mure sica, tthe pi shee
Ube two cue Sete fers sah Im, le want
Safe tothe ds through al scheu hl
Hi 3 sable postion ape Ihe spe. nd en cual
ven an cree pare pa nto D
Ss. Under thee codos he dl Pastas wih
Sek tire om patio, caving ol) operon a

wear ofthe conan ovio pt

ne minimum ve raie to he die 0 the
Alpen aed stale penton Mt em Oti ty
ttt for namen pen of he md oot aes, nd
pen i te “A” Pacor Tale (ee pages ADS thea
ABI esp in ere af ont tes te
‘ote ‘oot of the specie volume of the sd beng
anced, mitre appa for tae with any fd

Soi of eek waves In cornée wih the seed
minimum seloiy for fu die Bf wi an eel in
Ser sl do than the se i whch hoy are
Annie homero, lpi e wi bei,
Ing hiker an tha oa flea heh ued
tn therm he wien posi, THe adas an
longo val ifs and qe oro. Te ete ds
dde of adi escena Ind clement
‘hich wi occ su mil ih to,
Seducir fango, or pred mé cn be mad
{slated ffm ee eta pen In be" Factor Tabi.

Pr GHAFTER2- Lou OF FUE TROL VALUES AND ETT

crane

Resistance Coefiien X, Equivalent Length L/D
“And Flow Coefficient

russe os et dat for wide vay of vale and
‘tings ate bl rm he work of merous La
ftom, Evene stair in tn ld hve be ot
fisted Sy Crane Ansonsten However, due tte
Umecunming and Gone aie of mh ting À
ds visually Imponible o obtain tert dt for ey ez
Sad type ola a A,

1s therfore esti to proie à meuf hy
xiepining made et formation 10 scope
‘hon Hem wii tae nat been or cmo! rad be
ened. Commonly ud comete for acomplia
Gis ie the "equivalent length 1/0" ese 6
Sina", and ow count Ce Ky

Presa Lots In iia system ssl rm à number
atm caracter sen may De capone
pr

1 pe ution, which i à fureon ofthe mice
age of the Intenor pipe aly he mi
Gant of the pipe andthe Ml ely
rey and vico. Feten tos arc
ted om page 1 and 17. For en dla,
fee pags AS tn ADs

2. Grande in drecuon of ow ph

3. Osuaciomo la om path

À. Saldos o pudo tounge cromescion
Sd rap wpa

Velo la à pipe obtained atte exams of sae
hen, and dee in sae head due Lo lost 3,

Gamer ti

Which i defined a be “coca Read Fo te
‘ale or flag in pipe bo cans erection
Sue hve wich maybe epee in ome of any
had. The reinos efiment Ks Be oe

7

Ah 6 Seid 4 the number of slot est
Jos due fo a he of Mme Hives acts
ih te dete a whieh te elec on. Ie ment
ales of ities the Lowe de to actin (Category I
Be) reiting Kom tally of Bow ath ue
‘nino compu to thre du 1 ne or ore of the
‘tht tve aes sted

run er ts ented
a a ca eo

ree ate anus oe
Sma sear oda
Se

‘The same Jos ln rh spe expe by the Dar

u
OR Ren
er

a)
(e) ne

‘The rao L/D he gusten ng pipe ats
tse pp, hat wl ot Cs same pre ro a
‘he sou under th me flow condor: Sc
{Be rates shit incor fra conos
‘ffm, he valve of LD fox any nen ab or iting
Fut neces var levee withthe shag
‘to ats fo dicen Ro condone

‘The scene offene would tree te à
mtn for Hae of aan den o in 0 vet
LS temo sf al ager were gromeuteay mir
Homer, Bone ml à seldom,” wer
hive’ bee the Sarga Of vs and tn Ie
Seed %y ah como sanders,
Satta eng, ad other coda

some veraz [7

pit >

d Cal
14

ALI

er]

‘Ac example of geomarie dat ie shown in
gee 218 where à 300 mn (13 ch) mad lso
tm beep dawn to 16 sl of a Sram (@ eh) stan
i fbow, wo that thr po: diameter are Intel
‘he fw pts cag bo Mags dan 1 thse
xls would aso nave oe erie fo av roma
‘sys in addon, he wine rouen Of the
Sere wot have ton sar

Fir 214 6 bee on the ane of extensive tet
te trom various sures, Tue Kcotfsene for à
fier atlas of aves an ing ben plotted
Mt ae À vil be poled tat the À came ano
Miele ten 1 flow the are dope st he

A is
o un Eg,
a mme — ne
. PS i + m
À Se
7 >| | à 4 100
j' Ni LTD MTL
Pr WANNA
RE SATT h PER
a i ot
abe bal HR YT .
vid Py | AL.
Émis. EA,
o mans mes non)

x = Restos Cossa

Figure 218, Variations of

pisan Concent K (L/D) wt Sino

O RADO eso ano Fos ASME Ta o 1507 =
19 — Cuneo Sua wage ca var po en |
12 = Fabaceae te? Ft ASME Tram, 19506 |
18T ome ios Past ASE Tan 1930

bal RD Foo ASE I
| À = casa Me One Ya, kn Cu tre
nas Sie Te |

= Gus Bus ana Yan companion De era

MIC 125m ot Ven Cops ae Cre to

NEID) sume for ei le comen sel pipe
li how Son rend 3 onan aca DA
1 prosaiy colado thet te effect fon
Sinn between erent sae of hese ie of
ates 0e fing upen the romanes colin À =
Sts to that of re soups, & Are of pS
pon son Fco

Base oe the vider peered de Fire 21, an
Bd tat she roca cient fr pon
ne of wer or ting ten o nny tha a
eye at tt ff ls om

fel pipet Dow constons ring à coman
ln factor, and thatthe equ leg LD

tends avant constant for the vit sts of gon
Iie of aves où Stings at Ge tame Nowe codons,

On the bass of ths rien, the renace cor
LE each luted typ of vale and Sg
de presented on pue ABS thre AO. Tr coolers
tre gue a the poda of the faction factor for Ihe
Led as of sn som! wel pipe with om ie
the ove of complete uence, and conan, ch
represen de oque Maps LD fr the tale ot
Mag in pipe Jansen fr ee sue flow condos,
fm De ba of ter ut Tris equa lng of
Sastre à a for al snes ofthe ave fing
‘ope ith when ese

nt Dm TP lina

Resistance Costfciant K, Equivalent Length L/D,
"And Flow Coefficient - continued

‘Tre fecton fon for lan comma eel pipe
ih ow inthe zone of compte tens Gi) oe
‘oma acs om do Sarah (08 to 600 mae
Std at de Degas of the "A Factor Table
{Gage 420) for convenience comering the gebe
‘pesto 07% 10 ae quart,

‘Ther te some settee 10 Sow in ping uch ms
nn Sod paso constan amé euargmet,
nd po eta and ets, tat have émane
Kay Sen sts, The rento conto
A fer ts ema we therefore méspedent le
ini by the aba oa con cis hl
‘hes enw DE Factor Tae

As peon stad, the eusance count A 6
Ay socie wih the alate uch ih bsy
le the am, overs. Tae tau Ui °K" Factor
Tale ace moto! vil the intel meter of
lie foloweg pipe Ste number fore varios
[ANSI Caw need ange

ua the suce coulent K is und la Dow
guien 22, or any 1 equals forms get m
Spin 3 a Equations 244, 316, 3:19 and 220, the
Selo ang ia amater Cien umd I the
Lauren mas te bass onthe densos of ese
die number eget the pipe ih meh ine
‘ave my beets

‘Ax sere procedue which iio dental sels
for Equs 22 le to djs À im popotion 2

fourth pomer 9 ester aio, to tase sali
heey or dames onthe teal det! of te

ne
Kr (2) commis
Sen ét 108 hh de

‘stra betr fe sonnig pipe

Subsept "3" denen K and d with senc to the
Interna! disse of tt pipe for which the vals of
E weit establos, as gen i the fool I of
Pipe ele number

Men pi stem cos than ces at
pe, als, de fui, Eaton 24 may Be und o
Expreso al eines In tommy oa en, For hit
ae subsp slats the ss thelr o
Sich rames re 10 de expend, and sucht
D retos fo any ote? ae he sen. For mp
probleme Example #18

I e comenten ee branch lt var ind,
paris In cone ont ae, o agro
The vale copas and the vals on star o m
terme of flow coin, nt USA ane UK te om
Soule! at pent in uy à dotted Ca a à
©” Rate of How of wae, in eter US or UK
los pr minute, 1 OF, at presse drop
Stone pound per gue ch seo the ae

(Ser Equation 316, pos 2)

‘Another content, Ay, wi in some counties,
cua in Europe, a loaded as

= Rate of fow of waar de cole mites per
out (a «presse op of one lg
fore per sua cetera?) seo
tone

One Lafon” is equa 10 0980 665 dar (ext)
Sin soe contar! cun de name Ko
ed pce or Kop fee,
Patrie

At the tine of prepara of this pape thor 40
Are international een fra ow conti
ter of SI unto aqui flow cp I met it
{Sn be comer to Cyst dea año. For xan

5 «00000 VEE tous. mon
where
© « nu of fon seven,

2 dana af asd, ee
fp snr

crane

harten 2- FLOW Os FLUIDS THROUGH vaLves AND FITTING 20

Laminar Flow Conditions

In ie usa piping taa, Now wäl change
om laminar te tin! de range of Reyna
"uber fom 2000 to 409, Glam on per 424 and
[NDS Sethe eel tone: Tae omer ental Rape
‘rte of 2000s unl eg ih wpe
foc te arpas of Paves hw for lea flow
nung pre,

nn)
(22)

ich i dented 1e quan 23 when the vale of
{he decis Tatar tor pina: fmf = 6 le

oil imo N. Laminar ow at Reynolds number
shove 2000 ansable, aed the onen sage anz lower
lame of the tensión aoae, tubulnt mig and
Isr rin may alert sper.

Eguaton 22 (hy KF /2p,) val: computteg e
ad los de tas and Aline for a cono of
Mow, cng tat on, vlg resinas cet
Ka even in he A" Facto Tole en ihn sauren.
1 iad 10 deerme the Tose m tight py Ht
Arc to comte ne RARES number ioe o
subi che Toto aro, fio be ud to deta
Shel of he ets Selbe forte sie in

tlt wih Eon 247K ADI Se sm

Contraetion and Enlargement

The sitene 10 flow dee co mer enlacen
eps by.

Sohne | an 2 define he nen eme of te
Salen Tage pie see

lt somerset to sn the rah of metro he
Salt age pipes bythe Grek lee Di) a

‘Sudden Enlargement

Deren kamenzaı
Svéde Conincton
9050-8) tion 318%

Lqusten 23 1 esd fm the moment esto
together withthe Doro suelos, Banken 210
SEE Soin e ei ote te
A
Le)

‘The vis of te teste core sem of the
“tried by dieing kanns 23

The foes du 10 natal ean pipes wore
investiga by AM Gin andy De espa e
cai: ape ta Fain

nes of Gon esl
ages nen. 9. dled oy the Sau

Fond as"

AS

E
The los due to gadun costacuns 1 pies were
Ste) by the anal ol Crane et da nung
‘he same so ih of Go for grada Slee
ments, o prove 3 contraction confia Ce to Se

pled o "Equation 210. The sopronimae Serge
ee colis fr ferent needed. agit ot
AS by the equa

Fora Zast

4
ES
sie

Le
Forest<s Zim con fin cannes
The setas soft À for zen and grea
ane and com. ed in emt of
the ge pee» aufs by combing equations
to hi ml

Sudden né Graal

Enleqorente muon 24
2
on
ess RUE
ave Zion.

‘Soden and Gand

Centers Besen
teen
pas, Re
nt
os fat a
PET 3

a

par CHAPTER = Low ot PLLADS TIROL vac ves ang Tr

‘ates ae often decada seduce set, and he
AE em ett vse ends may be er rap
Spa Srugtstsough pes, such pue and Da
‘oe 10 dened wih pal seien we sometimes
ind to a rent van. Anal of test on such
ic raves int an noe coito
between tnt vn and slated var of med on
dieses Equations 21218 and 2-18

anes when ene a charge in ton ofthe Howe
pue suchas Hobe and ange valet, are sis
ah cames vanes Equations 214 and 215 fr
al conato nd enargemenn anne ere
Wed to toe confus Soc the ne of
rage ane Coran ae san with respect fo
‘fret panes of eforence. The ertance and ent
Hoss fr Fused set globe snd ange aes a judged
to fal non ol hose et MG expansion and ga
non (Equations 218, and 218.1 0 = 180) of
the pores 1 the sat se ada. Any for
Ai Ten Sts inset tat te factor À ap to
aunts 214 and 23 for sudden season and
et wi Prag calco À tans for robe

with Reduced Seats

seat slobe and angle valves int ruca cos are.
ent eth txt met. In de geese of steal te
Gna, the vetas confiant for rice en lb

ins ea emp a
fon ot guaion 211 and Omen Equtbons u. u
Basta ier

Tre proce for detaining K fred tt hoe
And in wales abo spears Anz lobe
né And vas, Forth ne the ae of it De
‘vd upon he square soto theo of ees,

2 define the me a the mos et got
fete ow pth

faeces deves the otra
Pe

je ofthe connecting

Resistance of Bends

Secondary Now: The atte ofthe Now of lui
in Sense Aas been or weite and many
Ineresing fate have De Gecomed, For example,
he à fd panes ound à bead in eher al o! 96
at whee sae’ the band a core
Uti known a “cond Bow, Th à couts
nota, ait angi 0 eh i per
Ipod upor the main motor i the duction ofthe
SEE The fon usant pipe eal an

Seton of en fore combine 1 produ this
Cocco Figure 215 États ths) phenomenon,

essence of bends to low: The restan or head

Tein seed conversa und 1 cons of
©) the los gat o carats (0) the sue lon im
{ht domnteun ‘agent a (3) te ls elo length,
the

} ©

Inn Sonn mes of
dr em tos in dovete ones, in mes

> of uid
onan ue gh e me 2

in mes of il

nahen,
ower, te quantity hy em de exprese fection
‘fess a inh fam:

uk, Sonate

whee
Ki” bed ent

= vec through pipe, meter per second

1, * 91 tes per cond per soa

RANE

Resistance of Bonds — continued

| >
E
j |
1 $4 | /
Harn, bn Ent fa mn mei)
PR of tonal of hah of katana bore Sa
= Du Ba
a 3 re
Er a :
ads ‘nt veg
dan ET . Be
# z ney ÉS
Te su wen Ky 26 fa cha) comi D dg ele beta ty mi
ls not well defined, m can Be observed by reference to plvng the number (9) of 90 dope bands los one
Fe 2 (aan dena other) Tran Dad eye met K de wag

in D hu mine
Meisten 3 acá.
Vals of £ for 30 dence bende with ais bend
ation (70) we Lid ca page 429. The malos (ass
Pise onthe work of De) present average condice
el 9 Ege bens.

The los due to contowous Bends guer han 90
eros, sch os pipe cll er expanson ben et
‘ha the wonton offs in Le tata meer ef 93
Segre berärcotnan ne ea, conned spas,
neue the fom A Equation 210 cece Oey on
ne

The In dueto ng ie tem of Ki equ 0 the
eros lech ofthe bead pipe Garter, mu.
bed Sy te ton facts yat pelos id
Ende tte on par A 2

Haste

dig = he Eat 2:16, On Is bite toa sae
of à pipe ca of expansion bend mice up of

iat, Bae uct ake wh

Den

pls nal of tn ste SER Sst Send sota
D sic thew OP e ep ed
ms ee ad Gus
Ka ADD yn £4 os mn
Sube 1 dene the ve of os pue 229)
For one 0 der ent =
Example:
A Senet 20 pige cl comas te compte
Gr. tes ten (0 dep be Tee es
ra (iy th Sn lia
tot oF an 90 epee nd ah 28 00
DOS se

Find the otal sisas cof (Ko

hoc

Ka" GA) 26 x 001916 +05x08)+08
3

Resance of mie bends: The eat Jet of
me band, Bo! on the Mo SH Kio,
Babe hou on page AD

CRANE

Flow Through Nozzls and Orifices
ses a names ae wed pricipal to mater nt of few. poston of
the aer I anne hee, Fer oe compite do, str Bon
sues 8,9, and 10. Fo Malin cr operon of comer mein,
Feroe sip bythe mee enn
Dates ze alo and et on or to ducs pie. or qi Row,
a ties ar omitir ed o duc pes Le apo so hd
Eaton, Overall renatanes secta Kar an Saco ven on Pte
AD: Fo sample prblem erage 47.

‘The se of How of any ad trous an oni or
forte maps the wlociy of epost may be
pr

ee CANT tears

Velocity o apres may have comiteabie ee on
the quan dato through à norte or one
‘The strong Fr velacy Of approach,

ve

may te meorpomied in Eqiston 22) fo
FF

The quan

ver

lo defined as te fw cfa €. Values & € or
tosses ang ones me shown on page À 20. Uo ht

ow clic € eminaes the rey for ew

Ing the veloc ‘of approach, nd Ego 222

« Vie

encauzar ca [DE

(Dies and none are oral ua pig ystems
Sl materia dee md av mutado as ao
Dee ape acodane with ASME eter scar
Mein” The values A and Pin Een 223
Sethe momies dents ‘ate bead or pre
‘ios pipe tps lee Y dames ara and 05
diner fom the lt foe of It oie seo
Boa, when vale f € se ake om pat 420.
Mew content C's slotted for epale bse
fn the ena dam of he pre Pi,

Flow of ii: For socks a ones chang
Pompe fie 10 almenas, las may Se
taken fiom page AZO 4 hy ar AP in Equation 223 6
tikes atthe para ha rpg peste

ow of pus and vapors: The flow of compressible
Hude (rau norte an ones ens be expe by
the same equation ed for Baus ere the net
Cms tor ¥ mu be sidad

Tre examen ato Y es foco of
1. Tae pci beta
2 The ao (pol oie o

Rato of domar 10 opa able

con meter to ne

Te ro? as been experimental entered on

the bas ur. M Dar xp os ai o 1

nd tem hang ci Mat to proue
3 Tre dates pod où page AL

‘alos of y far some of he common son anges
A pen cn pats AS and AS. The woche ea ter
‘mayne sip rät pres und temperature

À probleme the woes Even wil

gestion 224 may be nd for ties dias
apres ornare by ug

1 Bow comficint € pen on page 420 in te

Reynolds number ago where © corta

‘Seite pen met 3
xpenion ett Y ar page À 22
Differential presa AP, equal to the et
pipe pu

“hi ao apple 10 noue caring compre
a te eimsphee nly he aba et pres
Se y De se tne pre dl y
bar. When the able inet prac prats that
FE ant, flow tough sore hold be etes
‘Seni onthe flowing pe

crane curren 2 non

Flow Through Nozzles and Ortees

Maximum Row of compres fue In nore: À
Amy conn AE has De propery of leg
door sample bad upto ete of
ound ts mou cos sector rtve, poi
‘he als pre drop à ments RA Sone
‘lost the manana veloc Sst ay Be ated
Inthe at of rosie Capen ele ed
In paul nerent sets aos ge come
moze, whee seni ley ena bro)

The etal pre sao the apt ato of down
‚item presa lo pican proue pablo cf
fprodoig soi veloc, al of rs piro
Fe sh depend upon the a of orde diameter lo
Sin ters ole qc oyo

low sou noes and ventas te mt by
Era pc to and nm tales al Y 1 Be
‘Sed Equation 226 fo ths camion, ve ned
Ss paro ADI dy termina eco PP

continued

Equation 224 may e wet for charge ol comparable
is hrs sane tostmospnem ot conse,
presre lower than ndice by the one preste
Fs by wing ale of

Y inter per page Ai
€ pose 420

a... PAG online par pag A
> ‘ene Spam colton

Flow hrongh sort aes: Sie complete experimenta
Gua forthe charg of ld to toupee osa
Shore tte (/D u ls tan, o ana ter 28 ie de
‘sett oot male sed ares
Sr poutre may Se obtained by ung
suas 233 and 224, wih vales ol Comenten
een tht fr ones and not, depending pon
nao conan

he otras wl sound, € vales would tnd 0
“pera thaw for sal bee ot aber ih
iure entr would hie erraten ambre
‘Bote o ar ode sen.

Discharge of Fluids Through Vales, Fitting, and Pipe

Liquid flow: To determine he How of Kg sous
pi, te Dec fol ud. auction Io (ape 10)
{i bean mer mor convenient Capi
3 0d ts Den emi 4 Eaton 31, Expres
Air oquon in tens of few lo es pr una

22.980

‘Sev or, he equton ca beca,

0-08 fag

gut 225 on be moped fr as, Eng, and
Pipe where wuld eth sm of al he ete fe
BE ining sten, shang cans tad ent ost
en o cp pls of pre

Comprestle Now: Wren & compris Mid fous
Fr a poe sea into an ae of Ire er econ
that tat ef the pipes te cae ef care de
Birosphee, à MARS fom of te Duy fom,
Esas I developed en pag 19, ut

A
van

Tor determination of values of K, Y, 206 AP in thie
gatos Ad on ae 19 and atte in
‘males en ages 13 and 4.4. The estos ll
ven In Capi, page 35, Equation Sin ea of
Pre drop ba)

Formulas and Nomographs
For Flow Through
Valves, Fittings, and Pipe

aly bese fomulas needed forthe ponton of the
theory of Mle ow trou pais, la und pe wee
preted inte Aa 0a ap of ts pope de
any of formulas gen in he caper, theese Jr
dis av neunten de temo he Smetana wah ie
Ahead il be commonly ie flowing the change
‘es tothe mera pte or were ss ay he,
the por of Sens

In each ease ache fest I ie rag ur
‘ols the formula or ite tothe small di

Norah presente in thi chpter se apical ttons
of the flew formes api o pipe. Valve and ng
ow probe muy soo ited by mein 1 tet somo
aps by deel equis eth sm em of
Ms of srg pie

Due tothe wide varety of em and the sand te
hy properties of is and ae, as rca lo
Shade te nono to too par the pr (ae
So 315) pesao te hau fom, and the weond pr
(en 16 to), peras ta compose N

‘re ated upon Dery orm, an = gee fom
WE which appr tol Mr and can e ple te a
typ ftps Ion e es Moody Fi

Bln Deters formas pres reas of sr
poste of few arg ves tego th au of
Egunlnt Era or retire colic! Nomao
Pride sacle pl, pack, sed soraya
Solutions to Now formal aed ie deal pt eee
ie aca

ney of à omega lite by the aaa page
ds, ln of ues, number of nt prone on Sach

Shea emt te cos he
Sek! Wiener the vluton of» prb fall yond Ue
‘sos nomonraph the alain of te fon mu be

CHAPTERS

=

crane

Summary of Formules

To eliminate nein dupiction, formulas hae een
en ter of ether spect olmo Di deny.
Sout tems af bath ce an ec
esther

5 Fr
‘Thee estonio e u in any oft or
UE awn inthe arena,

zee gow

ee ee
E E ee
(anne Caution) amon?

dm

- woke row 22 a ME
e ae BE» on BS
y= dps wom Me amo
ar ús
pans ST non BS
SBE 20 SE
Fon eter
RE ioe
mo a na = ain
Re 129000 = 65 dE de
00-093
manos ent
a= Bu ig 1000
Res tam or L021 20205840002
+ Vicon estan auton 34

1 et os ed pres dro
re

Press lon due to Row 4 the same te à dpi,

‘Sta or torsos pipe. Homo, the diese

presas de lo the erence mn ead mutt be co.

‘red pene sop calls be pe 1

nes thet le
a

ns 22550 2€
a
Len

ne = 120 28 emo
20 0005 LE a aoooon 9 22”
apo 810852 107 Je 2309 90"

mp

ae isa

esa

fest
sers AEGIS

n= 5305 LG'S!
ane 9365 AGDE

m om in rig pe
For lose on condition (Re < 200), he fon
Fat à à diet ahaa fein of te Reyna
fiber ony and car be exprese oy e fol,
Ps Saag de save of I de Du

Pa

mena cazo
nose ml
nee 40 are
aps os te
PE 10 828
ao a AE

2%

FoAMJLAS ANO ROUOGRAHE FON FLW THROUGH VALUES, PITT AND PIE 2.

‘Summary of Formulas ~ continued

+ Limitation of Dary format
‘he Day foral may Be we sos retin for
the ou 9 er olan oe us Howes
Shen extreme slots secu. in pe cate de
‘enters pra wo (o e vapor prie ol
fhe ius station oscar and calcd ow rc

When res dro Js an 10% of 7, we por P
bcd un eben or one condon,

Wes cesar drop estar tan 106 ofp, Wt es
Uh a tn, an the ra 8 por Y don et
Sad oot Rens or be Equation 520.

Wee reste dep i prete tan 405 of ws he
Fetal or ampral arms gun a pape or
Tapete Hour un Equation 320 or theory,
Prés

© one! lw ct ar

“een
ENS
Mia!

[TE or E
vs

+ Spins comprenile fom
Tortora emma

VV |
won of er
GEB

=

mao 000 68

soma
DRE

“Tne moni poes selec o a copie Balt
Ba pe Beguhaen o wert of sardine Aa,
thi expres a

oT

BER EEE

+ pais formats forthe flow
often,

Alhou Ihe even! metho (ing Dao forma)

fer hing Bow problems has ben recommended la ir

Pace. soe parer pete fou pic formas

a carne (

whee
Tao for new sel pipe
5 100 er ne eae ge
<= 110 for ented pipe

atin 330

e = 0005 38

fat

(EB)

a of
Y

HT Equation 313
coser (it ay

tr as tempentne + 15°C

gree

= Now feiner

15 = 100 (100%) for band new pipe witha any
ents, bons, vanes, und Surge of pipe
Amen rte

709210 average opera ondo

À 2 085 for anal unfvountle operating

crane

Summary of Format

+ Huon an ru drop
‘how vor a e

ead Tos cups vale ad Sse general ven

term of sagen est Kah fut ste

Seti aah an of ey had

quale! length ln go eters 2/0 at wl elo

Fe uma hs bu a abe

Fin Dare fomula Des through a pipe et

A
werben
ER man

To cimiute melon depheston of fom, te
Toon ing ae algien rot Wiener oes.
sits) fo

CRC EE eens
nie on EE
2p = 0008 kn = 0850188 10" Kan

= 8105 soo"

ap ome

ap «ons SP
ap «comes Lars

an eos GE
TER EEE Site ats
E AS

Av paies 2 py 240 ec sat yet an ae
Sen fo Le jet à Erna
Imgerlal une rth Now rao UK or ES eons per
lg se
1° 0 SPA)" WEB

Flew nt sus mn.
Be wee

6-0 (area FOB À
ety of tue

af poncho a it

Lib en ms li due
Fe een tr =

ER cet

— continued

© Pasivas confiant, for men and grada
‘arenes bibs

Fab Ras,

ceba es
Fast 02 10
Ren |

Ravine confia, X, for sudden and grade!
Cr

Kee Onde$ naa
Focas <a we,
toos Vibe) mann

Note: The wales of the resstanc ouf (8)
oem 319 3.13.0 38, a 2101 at Spe en

My ihe sl so ks À
be oe " “

+ Dion o ui ough ves,
‘ing nd pe Oar om

= ung
drame Fromme E

asoma Erna BE

we 000000 7620 FE =omssı2a AE

120 ABE

weoon sau JE Yo
nz SER, sa
asso SE eu

re a

ant AR

Im msn ver [EDI «going LE SBE
ano nn ve fea oo LE

arm mon 368 van FRE,» oon 286s E ARE:
asomar AF wruasre JE

var
lu a ar oe on pue AE a Ka do der

RANE

Bons AO NEMOCRATHS FON FLON THROUGH VALVES, PUTOS AKO NPE 2.

Summary of Formulas — concluded

‘+ Flow tout osea ont
(ie tne e ets tps

ere VIRE mac SBE

con 3.21

ar omas ne JE moron ER
anse c nor c SE

nome JAR morenita
Mon sta, CV 12654 CBE

em

a om TELE Vars
saromnrac ZE
vee

encoun LE VE.
e somsse re, ¢ APE

0010 2864 LES Vars,
e sore LEE y

+ somos re c AF
(eB
w sizes ran c JE

Wagga Fe ee eae A

+ Gasset of bes

ras un 28
In WE gy tuo
Cr eo
+ Chant reine contient X

+ spi roi fui

sat or sc
ee)
are)
vais
A iz 3. Dep APT
0 _
Se
SARA) pe BE
+ bye ony ot ans anna
sta. am
SO Res RH
sy El ns
a
cr gti for pest ps
lor tensas

BOUT tion

ETA
E
Pa my number nos of as

gro sear Now sea gare mete)
Ry = 210 atonal ow ara ge ee)
wets pester (ma)
Enuralen diameter istmo:
Bat

Pr FORMULAS ANO NOMOGRAPHS HOR LON THRO JON VALVES, FITTINGS AO PIPE

CRANE

Velo of Liquid in Pie

‘The mean vl of any owing gd cn be cues fom
the folowing formal, er, or the domage an the oposte
page. Te Ramos à pal sos othe foal

coman

y

‘Tee presse drop pet 100 metes and to stc e Seed
0 pie, or wate st 18°C, lave bee Cat fr commonly
‘Wed Now rates for pipe sizes ol 1 24 ch; tae aber

ue tables on page BD

ee

Bang

Gen: No 3 Fee Où st 15°C Ro though a 2 ich
‘Sedu 40 pipe au ete 0 2000 logan pet
pe

Fin: Te ate of flowin ites per minute and he men
‘elo in the lp.

ren: Masi Now tof ia a be 1400 ee
er inate wi rt ect to 1 3 te
pe seco

Find The ame male site of mel pipe 10 150
Be

Solution sn
2 peer, ee pa AT ‘Connect Read)
Toms far]. m len Lem]

2 [mem | seen [esse à Frey me on pue BB ult
! ‘Sates ofan peo Meer

a [os | esi | nas siti nF gunna oof om

Reonabe Vois
{or the low of though Pie

Kal Va

ERW ER te par and
121021 mete per cond
AR 10m orion

121 mews prend]

Vell of Liga i Pipe

BR tesano cag ean «8828
oe CET a ik

wo ene cae change ste cee atte Hl i

crane

Reynold urbe fr Li Flow

tion Factor fr Cas Sel Pie

pu
10910 wad pie isp dp
nad 6 RFO AN Sap JO em

pp tans ny 2

ana
ques soo So
au a mor wee
i

OLAS ANO nonognanı FON FLOM THC VALVES, PUTOS AND PE

Reynoles Number fr Liquid Flom
Freon Facto for len Sal Pie
(contin

RANE

ao

Premur Drop ln Lui Lines or Turion Flow

NE
sean
ey sed
oy ated

soy slay 00 2616 1 al po
00009 APPS ee RICO non 9,06 8 AD

‘oy Pa e

“rey o dop on sur

cane rome ano nowoanatns LON Con THROVEM VALVES, HFT AND PE Em

Pressure Drop in igi Lines fr Torbe Flow
a

crane

Preta Drop in Liquid Lies o Lamina Flow

Ba dap ci be ened tom the amas ben,
namogtp onthe poe page, sly wie de ow
it ana. The ph de a gap ion of Oe

Flow i consideres 1 bo nau at Real amber of 2000
las therefore, before wang th formula” magia
eins the Reyncid nuit Gem the frm on paga 2

ES

ee 87 pce dro in bas or 100 metes of

Esamplez

a
‘tthe Roma on page 39,

Given: A luiating où of dent 297 igi and

ey 450 centiol Mons eu 6 inc Sede
Ostet pipet arate 300 Mrs pt min.
ind Te pesos drop per 100 mes of pp.
Solution

Lo.

2 w= 450

2 Re ws peso

4 Stee RS 2000, the Row à amis and the

‘somogrsph on the opposte page may be ued
Cams Read
s [o Jr
CR EE TE

(Gen: ag easy of 16 am and cay 95
eotple os ouf a de ie 79 men kde
ter at avast of 2 mates per con,

Find: The om rt nie per mise and the pase
rope 0 ee of i.

Sabato
Lo.
2 uns
20 pet
4 Re 10 er
8 See Ry 2000, eHow har and the
amegaph othe oppasie pgs maybe wed
‘Comat Read
OS
2 [a [wer

& For 40 metes of pipe the prune deep

Pen

crane

Prue Drop Liu ios or Lomi Flew

(contin

‘ante Fen nec mtn ma 10

sien: Vicos Cp > 10 Pa

AS

ane

Rare

ow of Liquid Through os ls a Ori

‘The o ol gia rough come nd ns ean be
eerie’ tom the folowing formal, or. am he
omega en ha opponte page Te Hans a
‘eel aio ofthe forms

ar Oase as

Qr02 ce

meal oc ie der

preg

nt

sample 1

Gon: A firent pre of 02 ba mea
Sos tapa ol 0 mn sde men pode ale
À Sieh Sea 30 el pe reg water 15.

‘Fin: The Mont m eps min
Sisto:

Sams 2
‘lon Te Now of water a 15 ga Gach pe,
1507 m LD, tab ested 550 bes pr nate
by mas of à sure edged ois cr wih te

Sales Afro had of 12 metres water
Aid Te st ofthe aie pom,
Solution
L 0-5» cp AG
2 men nur a5
3 Rn nome. puedo
4 Ames pato stay 050
5 dai dam) = 1507
6 dis 0504-0502 100727535
7 Cs 06 Pe]
Cesar Rad
a [2] 0] ]
y [más [ans jam]
10. Amon Tamer 7mm wl RER.

Sten tg is roy clove to thease
Se Sup 6

LA te value of 4, determined fom the nom
rap i scale han the some value used in
Sep 6 mar Spe to 10 icine, wing
tofuced used alee fo 2 aid ib
Cien age men the vue determine
teste.

Lonas
Cher À diet prssre of 35 Klopmale à
us acre fap 2 D nae Mare une
god ons asembie n 14/2 Ind Sede 80 sel
bis coring luce me 899 ASIN cena ad
Ei cere sony

ind: The Row nie bi sc pt econ,

Sr

4 Pee
2 82 de eens om RS RE
= 1.12. turbolens flow assumed: page A-20 e FOR eas
y emma 2 LE Sein ty
Peas me es E
es pe
Sarai demoras Le +a
2 eed pa A3 10 Calculate Re based on UD. oF pape (38.14 mm)
Rn a eo men aa

12. Whe tie Clair sted a Step 3 à nt
“rent wth pope AJO fo the Reraide
‘moe bl co eles A th stor
trun e dan be arenes
teach by peng Sep 3 TT die

‘Trine enoraleagermen ih the med

13. Wien the cor wand in Step in al in
somes win page AO forthe Reynolds
Faser based on te cad ow ibe
jon nil sonal nennen eiched
aptas Steps to D case,

crane commu as ANS NOUDGRAPHE FORTLON Than VALVEE FITTINGS AND PPE 216
Flow of Liquid Though Nous and Ores 4
(cominved) we
de he €
1]

H i
i : 4
i H N
| :
: : wef
1 i [4 i
ie al

Pros Fst: r= 20 “1
soon

crane

ici of Compre Fat in Pipe

Per

TI ETS
Gor wig
TEE rs
TT
N
AA sey

igang weg ROE Hy EB Sir

wre + ie = a Se | im
voor =a E 5 Armen HE
am

ae
so = M

grave ay
‘eyo Compre Fu in pe
enti)
OSTENTA TXT may
BR EU oot
A i RE e
y

crane

vo sand TU o

on: =u | 5 ee coed

7 | + ex = rl sn] +

E) CUT ES EC TE | +
isa

woo. z

902 um ost = M

Pen

Pynoés Number or Compre Flow

Fron Faro for Can Sal ip

‘CRANE rom as ako NOMAS FOR om ROUGH VALVES, cHTTINGS AND POE Per

Reyne Number or Comes Flow
Friston Paro fr Chas Se! Pine

tad
«mt

4 af T T T m
EE PEE Pe
E ope :
a EOURLE EGG asea eee =>
A ea
$ WWA
i
E
AA
Dem

CRANE

220

i
H
i

Oi =P
a
ee »
mao €
een à
woes

8 pon O1 4 40
ad a par oy 14 se

es
au mu
mon

nd nun 000 91 10 ad 06 maps wur
Egon say DS) pur es na gp 1 MES ue)
Lowers

“aeons or

CRANE. FORMULAS AND NOMOGRAPHE FOR FLOM THROUGH VALVES, TEMAS AND APE 2.

Presto Dro in Compre Flo Lint
(continue

rete Ege

Pe FOMIULAS AND onognane Fon PLA TRPOUON VALVES, FITTINGS AND PE CRANE

mp Flow Format for Comores Fk
Prosa Drop, Rute o Flow, sd Pipe San

‘Ts simple fw formula or compres Ms acest
for fuly toos Bow ia adding, lo se prados à Bad
Approsimaden te calculations insivngcomeesib ud
BES teu commercial steel pe for test somal Now
condon

ls veloc ar low, Son factor sted in the mplid
loma may be too low, ie sca ae the Tor a
mamogapk shown on pups 320 ual 31 may Be we lo
vise peter scr

‘Tae Day focal can be prin in the following fom

a sp (eee
asus

La = Ja
‘The gli Now fra a ten wt:

Bem aro
PET
aa a op TE

Ci = charge acto, om char at
Ca ae ats tom bis on page 3250325

‘Ths litis ofthe Desc formula e compres Nov.
tine on pe 2 app te the pies few forma.

amie

Gen: Siam a 24 bar sist and 250°C ons though an
Since Schaal 40 pipe a à rte of 100 00 Klage par
our

ind Te grue re per 100 mas of pe
Sola: C= 100

G +021... fain page
F = mie pie 7 oF Als
Anm * 1000257 x0001

PRET

example?
Given: Posa drop #1 Par with 7 bar page ait 30°C
flowing throug 108 mes of ach noma! se 150 sto,
‘Hoe, 63 a va eka

Find; The Nowe ate i cubk mete ec mine mee
tanda soos (4.01325 bar acd 1 0)

Soon: dm =!

a” eva nest
even peat)
“U osm

w+ 9900

fa = WHOSE PTE

du POETA) = 1367 mr min

vor ot (mee

i
i

crane roms a nomoenan FON LD THROUGH VALVES, ETS AND PPE ss

Spies Flow Formula or Compenile Fluid contin

Value imei)

Forel ps to ANS! 96.10: 1970 and BS1600: Pare 21870.

eee UE TV | ee eee TE
(ies [S| Fe] Rae [ame DE TERRES TE
3:77 su | E ee
“I ima La as
ae | sete i pe
| os | ages
a Fi | es
Mex as | Ib

+ | we lv Es 1888
E a | = Eu

a Stoo. [SES
“a ae | | gos
ee a Bea
le 7 = Su
EN SRA | rm Pen
Sion ai PRO meer

‘um ue wth RO og. aa

pe hour flow speed à
Hamm pres Lp ai 24
Baer 100 met of ie

Find The rra se of 150
336 el pipe sta

+ toss
aos

ane o th le of, lus for 180 336 ges on page 324 shows ata
ach ctl sie pp it? mr all hike he the Cy slo to
an an, 188

“est posa copper 10) meteo eh, 7. mm al ene, ig
ue "6 CoP 081 x 102% 0273 22260

crane

Simpl Flew Formula or Compreibe Fluide (onunona)

150296 - 1974

For sta pies

& using: mean sem HU E
iy BQGHSSEIAGIAR ATABAAAIINY Bs9ISA429292 a

4 ers masse Ulucaiegagy INNER

de 3299333337333 3933323373322 IZ 342278382903 aazaagaaıga
E ~ u ~ — —
LH 5 _

Bi: a E - a |

$383 82388 88888888
Zt 4

eee

SERS

HRRRERS

ss

NES

ee

sn

Bésessesesese |

+

LS

asgagasgazs3

|

crane FORMULAS ANO NOWDGRADNE FOR FLON TUROUOH VALVES ETT ane 2...

Simple Flow Formula or Companies onu)
Vale Cs Imre)

Pen 0 02061074

= |= | ee |= P= [=
-. EE 8 (See
eo Bliss EE
Mi a dl
ga Ge ae
Ze] E EE E
ENE HO di E
e e a E E

lala le = us a les
EI | 5 leas À de
| ae E Là la

| | el iB Lei

| sa E

e = Si 180 pi cu he hr i ar ins 3-2 ana

‘low of Compre Fuié Though Nocl sd Once

The ow of compressed trough male and
es un be demined fom the fllowng forms,
Cn dy tg the nemograph on de nent page The
‘omopeaph a gaphia soltar ofthe formal.

weiss race Var nas rate [E

Example
Gen: A Gentil presure of 08 bac mucama
co tpr ind 1 damier up and GS amar
dote fom the I fee 34 25 mm i
meter norte send à nc Soda 40 es
ion in which, dy ron dinde (COS) ps ewig
SC br pure peste and 90°C

Find: Te Dw rte abi motes or hous x mt
‘anced conditions (SC = 1.019 25 ar nd ISC),

Solon
1 R218 }
2 Sn 1a far Où psp as
a yes

[ose aos
4 me pelos? =1013-8083
3 apirs = 04803-00008
A

(Gale dam) = 525 +. 2"Schedsopie:
E
7 8e dutty =28+52500476
8 Y-09 pie A
2 © 102, turbulent Row sumed pogo AO
mm Te mice
Be me né. pe Ato
oo

sa [ee aap, Te
12 CECI
24 [uns Jara
15, Diada ros
le gr Momma MSC pena
m n= ons eas
1 Re 600000: 86x10 DA

18 € = 1oBicouet fork,» 86x 105

pu A20

20. he the C factor au in Sp a act in

comen vith page AU, for tae Royle

umber bape on the let Non stb ated

ntl serte germen ls eased y eps Sep
O

Fra cr

Enanok 2
Chen: A dre presi of 02 nar de measured
seco tpalocaed) der rem and 0 dior
Soanarar tom he ket os of an 18 mm oie
ame une edged oro suembie Les 25 mm
ine dunt! se let sich. dy meni NI)
(pst owing a 275 bur gauge pcia nd 10 €.

id Ts on cate in logras sand and in able
ines per minutes: moni and codos (101325
Bes.

Soto
1 Rs a0
2 Som for Nits as pas A

3 reims)
PO ne
5 ojo + 0213263200531
& De dia 18 25320200
(pees im d ne dr)

2 YS ose ps À
2 © 2 070 0wtalem flow vsumed: pape A20
D TS Omer eo

10 > 2% Pape A10 0035

Dr]
Pira
15. [nées

AS

Bec pr as
le Re Ber ow or 282 x10" pesa
15 C= 070Weome for R= 282 0

pase ano

20 Wen te Carton emos in Sep Seno in
mem page AD, forthe Repos
rer bed ste alto gn Im be ase

I Ener ann seedy pens Se

Fou of Compre Fist
‘trough Nora and Orio
Lorna

4 1 3 coro

13
i
«11
A i E
pS +] a i
id
a4
«] oa

pea

crane

Examples of

Flow Problems

(Gen: Wate a 30
Pink standard val
5100 ies par m

Find The Repoidenumbe

Sotto

PRET

Tirso and answers o queno
pre proper appation of
{mala ta fiw protien cn de
prend 10 péage by
saltan of ecu proble
en spe fow probleme wee
presented la Captor 3 D dr.
Ete u of e nome
tes poble, bth ne aed
mp

Men o he examples gen nis chape employ the os ont
‘of Chapter | tng Beth Tors were seen in more comen
‘ad time for Chapter 3. Un of nomegapts when EPA a
‘ste i th coon of hw proble

The conned sabe era selection of «formula rat
aplomo gr da Tong pipe ne anyard 4
per, soma thatthe thse sammen weed formas ae
cay ena te on ferner being nh seien ot fs
Factor: À compaison of srl Stabe tng the thee oc

‘An orig to ha Den draps for the solution of problems
AS Le dicto of comprendo Au fem pipe test
lan crane oplin th method donar She mpi
‘ann hs es

‘Te example tlow shows the procedure in ci he Rese
ober ad fé fs reat pipe (pate). The sme po
Sp a am test of wu oth
inet oe ae, mires el ste or ree sup a hee

rampe 61. Soot Pie tach

Ca Moning rouse 20 mars of 2 028256
A

on ion so. 4 aoe,
PEPE
E
7 Re = 100 600 os 1906 10"
mus? 6 (500177 toc st pie

CHAPTER 4

i menus Em
starinaton o Vt Risas
O Ka Rew Ela
tae. tem er tortas
a

La een
ca A errar
A 150 mm (Sánch) Class 125 ¿ron Y-pastern globe value pee 430
has a flow coefficient, €, of 600(US gal/min). 5 to BEN. 1h 6 mee

CR a

Fin Resoance ccefiint & and equal lenge
ID und Ltr Bow in tone of complete bles

Lo LD sn ta be gen im tem of Sich
alo pipe pago 210

2 tre. queda
hato ind ia 2540)
2 paseos
1 Baden
ber
5 pa
A (e 5t ma 1D iia y
cota ue
3 bobo
7 7 oars

Do ise #1000" 0154 mures
5 1-(k)oeamnonsiemenen

Sample 43... £ 1/0 6 tor
hen:

109 mn (ich) Cts 009 ste comventoal ange
ave wth fl a e

Find: Resiste coelicent X and sauren eng
JD ana ar hour ze ol complete Lee

1K, L/D and aut be gen i teurs of Ain
Sete 80 pie; se pape 210,
2k

sige Aa?

pe

(utero! “Tels te flow in zone of
Espiel ute

Nam Der
PACE pue 26
beard on

Kaısox 0017 #285 AS

amp Ve Toei

Ge

A 150 x 100 um ic) Cs 600 su ine

D a da Le pn a Ink

SAR ah ede Feos dm 5

Soon nd a at og ea en

Sow oe

Fi fray Bo contin wd LD ud L for

ee

Slate

Y Bye LD) an Leu Ye nin rot Gin
Sheth pes po Hi

2 RG von

Lai tend (0812202280 287)

&
au as
mesa
3 vane Seat Bore
"Sas. 80 pion page 26
for 6" page A26
4 Bras on
me)
2° 0860-10)

3 wpa BHQOIS+ O1N08 x 0526260052)
oe

rit
PR

“Dr”

2, Mace
e
Far gail stone
say

mer Shel 80 spe

10 murs oF 6 She. 80 ip

628 7, 8 poe

(CRANE

Check Valves
Determination of Size

vamp 8... Lie Check Vas
Gwen: A ode type Mt check sve with a minutes
Sine seque fe à Seen Sie 40 hacia
pipe caring 20 € wate atthe cite of 30 es per
ind The proper sae check vale and progre
dico. The ve esla be eed 0 that he due ay
tel atthe pected How se page 27 fr hein.

Solution

i A

220 :

> Ugo pu

ap = 900225 Ko? ne
A par
POTTER
pa ens
2 andere rom soon
dis. sde 40 pein Be
DES Camera A
sons emp a

ao

3 ig VTT + 1585
ne 22328300
HE
La mu e ies than tra Sch he
le oo lago Ty à BG Be

pu 12220

er
Bud où above, a Zin valve estas sn
im Schedule 40 pipe wih educ be

Los 24" 03° sein 426

“105 fer sabe

“18 24 ave

Re MPA HOsIOS 0690-0681

‘Oa
2200225 129499825200" 9 48
es nr are

Reduced Port Vales
Velocity and Rato of Discharge

Example 6... educ Por ut Vane
Gen Water a 0 eases rom
incre nd 1 atmosphere tv

SD mars = 3" Schedule 40 ra 63" sander 80°
Tented bono; 13” Marge al vb sing» Eten
etes se, 16 one, and 20 corel ott ex
Saab entere Bud wi de ft tn
‘Pat Velocity of Now i te ple aad ate of charge
lalo pr nate

th 7 mers

pe

Lo hp un A 1.24
sth me JE. ju
ee
oe cate A
Pen 2.

3 For K Qu abe) pe AIS ideas wie of
Focal 5 Hower, wien it cult age
(Os Formula S mt e panda o

OP preto

xo
«bcn rae a6
Eee vate iat
© menraist=os Naher

EA
24n0260-077¥ „44
ke os
Ko 6x fre 80500186928
Seow 425

amie xo 2080

oho DOBRO 39 pps p.34

Then for ene ten (entran,
ax chou and ex,

Keüsı 109105893269 10192
9 oe VTE

ae,

(0° 0047 x 2675 à 79° = 23 Senin
1 Cale Reid mans Lo vn nt cion
factor of C018 (some of compete arte)
Soc fr gw con. ae we "sale
Sting af eon Pate cat an age 425
Pre
Ent: shart on per A2S a1 208, Note for
inch pp de ae 002. Therefore, win
{he anion dene (gr les tap Ay tr
buen) bat the Affen anal enough to
rag any erection a fre pe

warren = ALE Os How sROsLENS crane

Laminar Flow in Valves, Fittings, and Pipe

In tow problems where city h eh ele Reyes
Number to detemme where fom a lmion or bent

Example

Gin: SAE. 10 Lie OÙ at 18 € flows bough the
Systm eed in Exampl sa ne ame lees
Er

ind The vo de pipe and ste of ie
pe min

Bram 48
Give: SALE. 70 babe Oi a 20 € 1 owing a he
tate of 600 banels pz how rash 69 metes of &
Inch Sahel 40 pipe ln wäich an inch coter
abe vive with fl aa seat ested.

‘ind: The presse crop due tow trough th pipe
dae.

. Sue
2 mu cs pd dE
Em 2 apa 20188 pas
e [ei
.. re BB at esa
2 : 5 a
sand Beers keo vane: page A7
oro work spas
he e es 5
ES tire

PE ene laminar iw pge82 2 S-0916u606 (1560) paar
% S-05Du40c pa AT
ef Mt dor Ste pic pgs B16
Pre peras
2 res me pesó Fame ee
maana Eme AON aun
Kos a mas.
eno en Sn. ,
a ons u > 2
i wer Re 2000; area Now laminas
100 pue #
kr ai Empire 4 fo SE moin Flee
3 ame iin Mow wth 9 LS pio s0004 476 wine
Dax isnts2 = Dao Den |
Res BEALSAESS 0 CET pre
nee 1020 0068 ios Reese seta yt
640 1909 er
ee ae es a
Kaas sos #324405 #10 snoussuur
kosa ee mueren
4 of BEE? ms

ES
5 Qe00874 Ex 7958 +456 ie

Laminar Flow in Vales, Fittings, and Pipe — continued

"Numero mine venta ne Hou ine 0 ale

example

Gen’ SAE. 70 Labs Où st 40. ening deu
Sec Sale 40 pe at ate of 2300 hive per
ee howe in te flowing shee,

rome et OW |

‘in The slots in ees per cord an pene
‘rece te ps Py 3087

Seaton
22 à Re Bron _,
pr pes D mn
„am =a Re <200: wet fw ai
Do 35k? Be
apa PURE reiner
a 6. Sami for the ete om eae
ae ME cartoon ang: pee angle ave bou, and pe).
A E E
2 sip A2 eg
cage ae ge 77 Ea . su
a
minus Lu
0025 tg 92M, 15200
Poe pages $e 128. 10200
2 ER pa cs wot
SOSA USEC) PAT
srosoutsoc paca?
asso men
mn panes

fro 0016 pra

Pressure Drop and Velocity in Piping Systems

Example 610... Pin Sam = Sm
Oben: 40 ba aba steam at 460 € Rows through 120
mets of horizontal Eines Sede 20 pipe tts ate
(320.00 kore pr he

The ten cosas tee 99 dee weld os having
a fate ras of 1.5, on fulyronen 6 x inch
Cs £0 vst pt ses aera Example,
and one Gisch Clas 600 ae gebe va. Later
a € seu amet gua lo 09 € maid deter
Sécu pips dn fly is.

Find The presi dep rob we sem,

Sotto

ape 2er
PA

2 Forge ie ie pute A273,

qe HIS 0 eg

ess
5.0

2 Rep u... ech at
rá reer
nom à pasa

A
Pecos. e Gp Ae
perd nena
ros paren

3 Fagor,

ERA SEE
2s4xs0000
CCE CC a gs
raus ioespage 425

123.

xe 200541208100 iis

Ka 3418100152 069 deboun page A29
KUM eee 68" gue va Example 4
7 Summing or ih ent sen (abe re,
pio, venir pte ae, nd om
Kotler 12390632 den 158

062532 16 9x 20 000 x 0081

a tie Hes

ape2abar

Example 411. le Hasig Coils = Wie

Give: Wate at 30 € e owing tough» Aa esting
foi show inthe seich below, a a mat 60 ine
pene

guy

nd: Te prose ro for Fin A
‘Soin

2 Opn ER pyess
ne Qe
ea er
Beth cs animent
pan timado

Ky C00 (25a 45 tn
150 bsg 27

035
4266
FDO
ro
proces OA

2028 5.4 1000
Be

K-28 1x 00206
4 Forn 180" nés,
Ka" TUI (025rx0.023 x4)
(0Sx032)-032] =387
An

wate 40 Cpa AS

2 wate 0 Cage A
1° Seed 3 pipe B16
1 Shed pipe pa 126
a Ree stan!
ke 1437 Sam ag pe
4090 bends

6 op zos

Pressure Drop and Velocity in Piping Systoms — continued

amp 412... Orie ue fr Giver
(Oben A 12 inch nominal is, 180 336 steel pipe,

Hm. wall hat, 18 metes Long conta à
tanda ae aie dshrgs 15 € water 1 among
fiom a nee. The estanco puts and into the
‘strc and cet ine 2 mee balon the water
let inte sao

Find. The diameter of tinplate ore ht mus
tet inthe pipe 0 est he vl of AN 1
Ses pr second when the gate ae wide op

Seton

2 mjor wäh ALL pagos
ur Eerste EL ous

2 con an us 429
ES espe 29
patas a 227
pip: ed
2 aros pre meno
f79013 ee do
pro musas
peut peas
Lo A e
soos oe
5 Tote ited 1962435438 2788
kp 84000 00.10 gente
1951000 ras i
ge BE 0013 u he
Thon eta foe
Kon 10401 10868272
A ar =292 2691
2 Kaine e nee A20
8 aoumeBe07 46707 pean
See HS
5 name Dé: 0067 peazo
PAST E Bond

sone p08

C0887 pue 420
meo

HL One = 96993019 206 mm

Example 4:12... Flow Gein Tae! Units
iron: Feel ol, witha po gray of 0815 anda
Kineate visos 27 sanetkes ows though à
‘inch Scheie 4 sel pipe 10 et og at rat of
2 US alor st send

‘ond. The pier drop in ar und in pounds fore

Sturm:
Lo apenas page or 310
120 8
arrive $ pesa

2 Comes unit ge to ore uud in tippers

1203068 m
2 US plu = 3785
2 b= 700 1 100%03048*3048 m
5 Oros oO
7816 ie?
6 2US nd" 243.785 757 ee

pie
mar

2 6562 ein

3 pe (eu) fa
27 ue ) in)
a verrons

a Re

ME man

10 ran.

2282007043048 6146542?
nn

page 2s
m an
ap" 0568 ber

12. Presa doin pounds oe pe sun inch
0666x165 + pms B12
295 iat

pert enoren a» exa OF Econ rones

caane

Pressure Drop and Velocity in Piping Systems — continued

Example s16

Chen Waser at 15 € is Moni tough the Peng
‘pat, own inthe eich bom, a a ze of 1500
es par mine,

Fr eue

Find: Te velocity in bo the 4 and Sch pipe sos
td be precast alias wags od By

pret
LU art nen Gt 32)
DT "AE DETTE ÈS

Sine. 2°85

noms CE |

5 4
a2] page 34
xe le [small ripe, in terme of

> larger pipes page 2-11
Ref 10° eow age 4:29
Ronagpe DEEP |recocing 90”

(Bon

Pe nennen BURA
EN EEE
fon 2

So 20 pepe BIE

dem.
freon

2 a
o> ro

2-2 2-09 2meme
we coves pire page BI
mois Sr pe pa BD

Sue 40 pe page B26
resp 426

5, 13962009

EE ne)

2.22 x 1500 98

ee O

pie
21229 1500999

22515003999 sie

ES
er 5" pie

hon

10008 B

0018 x67 1000
EE

CE

da

foe 67m of Shad 0 pipe
DONE 34 1000

Ke SES

260 210.0... fard mola" Sched 40 pipe

Wa fn oc in 3" pipe.

Kan 69-08 =146

Ko 14x0016=022

Keane BE most

pus 211
30 elbow

Sue 90" cow

‘Thee tems of neh pp,
KTOTAL AB + 1464 022 40.56 + 245

nee RIERA LUE en

pen EEE en nat vase)

CRE

Pressure Drop and Velocity in Piping Systems — continued

Given: Waser a 30 € ls pumped cagó e pios
‘ito be tate of CO ies per mint.

Fone: Reauied tor Fusing

Find he ttl dre ned (tsi cons
fd the power dene (bs ome) rues fra
pnp Bang an eine (e) 70 pec

So: 1 Ls Baia’ won e page 3.2)

Win, CRE
ETS PET RE
2 and a = 13, Mr equation cn Be
centeno Sala amp ee
© went rem
2 pues
Pes
pages
ais
ie at
KK 90" cows mue 225
Kehr po sae page 127
wth ag pes pa 34
x10 einen
3469. Vel 40 pipes ae BI
ano mins
098 mas
fre 0018 az
ye BIO Lg
mon FILE os
te One
00m pase 25
2 k=ex3ORODI8=206..... Four es
Krsxonissoie tee
gle tia

sobran 5

For 250 move of ch Shel 40 pips,
x EIER yy,
Ane.
KrOTAL #216 40.4 +2704 406+ 12707
PIE]
aoe me:
B He toere 127 men
er emana 190812749982,
fen ELLI
Example 416... A Lines

en: is a $ ber aug and 40 Cb Rowing rau
2 mets of Liner Sede 40 pipe sta ete of 3
indir (MISC cme res px mine a page Bu
Finds The preste crop and the oc at Both
Spica and dows: age

Sofa, 1. Refeuing tothe table on page DIA re
preso drop of 055 br for? bar. 15 Ort ow
fe of 3 hie mete per eat roce 100 mete
Tah Schesle 0 pe

22. Conection for leg. pre. snd tempera

een,

NE 132.0)
ss (3) (135) Cae")
ar= 020508

To find ie vel. de aro of io im cube
acc pe mune at few condo mun e
‘eure om pas BAS,

ue. (HB)

eo (A
ore gag:

10m.
pre

a3

5 xs

a acom 28"

Kio)
or
ses
a

090 556

= 987 sin. paco

ve 1023 mm (marc

Lena à = EXAMPLES OF FLOM none CRANE,

Pipe Line Flow Problems

‘Example 4.27 Siting Pur for Ol Pipe Lins

en: Grade où 20 degre APL at 156 € with a seat of
78 Unpenal Subst wonnde Momias Mou a 8S 1600, 12
inch Schdae 30 sel pipe a à rate of 900 bea per our
The pipe in 80 bone Lng mith da ta leon
07400 metres above the pomp ner. Aste he punp ha a
en 67 pa ent

End Te pow dando he pur.

aoe
aan np 32
PA
Res BB 32038
sa ® messe:
ne me
ponts D rs mea
2 DIA 888 Ju
RE ETS wd
à an, a ess cine
een
En IS ua

10 Toto chung had atthe pomp
W426 +600" 10063

12 Then he power demand

SS — 1104 wy 11040

Pine Line Flow Problems ~ continued
Enga... Ge E
oo Ac it tt 601 = (BE) (ue
fon wal cho Tn, à 160 Mmes lng sor) (Sr)
Fives pam #0 br db Le ost po ak .
3 20 bar abeclute and the average temperature is 4°C, ID Res gg ne me
The con of 78 meme CH 218 ee DO :
i, eet pape (ho nn
ind: The Now rate in millions of cubic memes per day 12 Ber PE dono
Sour stan isch .
Selurions: Three solutions to this example are presented iia
forte pis of ng dos Dm OO aT
Sand ty e ur Sl Compa Few” 14. Soe he mama cos cn Y= 801
Tan Worms Hm ni Sr Tan, 7°. Sa ie ana tn ber 00120 8
‘mal SC" enced ton rer cre
‘Pal ae 1 aot and Der 8.8
LI pil we hte te eter
sit pm ‘Sins am tbl pot
Lo he calculated Reynelds number.
PET PE
* Tals | ane
2 arms pue
2 jou mme nn y soie
2 Temsecanesein
À Appt ne we de ems
bon nu. C120 5 JE Ça
respirer mmm Fiera)
& arpa maca ods arm
wane) (uss) freon
aras ne a) (a) mues
an (CH)
one tem
Propane (CoH) eee
PANNES ——
Natal Gas 5 à osos | iy 0)
Melon)» 008031) 4 (44x00) 7
Pe 22 hme eng apto codons; des
. ee
4 ho] a ala E-09
sons [BEER as
A Tr rer rer *

mio

per aaron 4 exnunuzsor ruowzaesieus crane

‘Given: Water at 20 Ci lowing fom ero co
‘he piping system Blow The resent his» on!
tes

im The wets in aos pr mins

o JE ces

ne met
Pe
2 mimo
REA
Kr pe
seas lent
® a
o ocio: pu de
u rat pta
pr
ez ex eal pe
# e
3 dns sd 0 peer Bie
dns LI repense
rt mas
posse EZ es
Gran Loc mas
Foo Spe mead
a asno
Kea Fans
exo Fame

x Ferne

Bxoo ne

arg ol Fluids from Piping Systeme

ors 32 1000

ee

208 3m." i
For 6 motes of 2h pipe in ers oF Sin
be

015 ex 1000

ET Ios

or Pick et ms al pipe.
COTE

ee

e EL oy

en coito

and KIOTALTOS + 1.08 +014 60.40 6

loss mess

02020672779 VIT 535
(ti sto ns ow in fly wut 08)
Culto Reynolds bers and check ion
“aso fen sgh ie the Zune se

gee Mass mer
a

pecan pers
and Tor Fo in ag pie of the ine ae
Ana 83510982

Ret PRBS ne
moon reas

Since med Hirn Kerr wel for strug
Dein Stop ae ot im amen win te

{aed on the prota Now ae, he far

orcad cording

ono 31000 „

077 Det. 3” pie

Fo: aces of Di pipe ln ters of Sach
ps
031 x6 1000

ro 1?

and, RYOTAL #054 108 + 0.142 074
lige seia7+2076

(9° 02082 7998 VESTWTEE 520 live

arene Exam or eLon Pacos 4-2
Discharge of Fluids from Piping Systems — continued
Example 420... Steam a Sere Ve
Gien À beer wih 12 be esse tated sei fed
1 pulp tock less coa) 10 etre af Zinch, 190 335 eel
pen wal Dick, wich income tnd 90 Sg
"Sow and fly-open conventions pip ype de Bote vale
Tee Ina presse te cee osas
‘Pd Te a Now aes grs pes hou, ui both ths
mode Due formula and th tone cy and Cou
arcas
Solo = for hry, ee page 19:
Æ pe GA mess
is od
cerrada CEE gustan 32: pe 22
EEE O pea pie ap
90" sow pan 429 en-gase257
‘sri rom hederpage 425 COST
foe EA gra Ababa same AB
as23 BIO 12 AU 287 ba abe the temperature of cum with
pean we ke {otal net of 282.7 egal 59°C ane
LES pas ais Keane
20192 10x 1000 ye 362 VIFRTITROTGE
= 99193105109 3.65 Om
23 be ces
Ke 360200192646 2 gone ae Per
220800192057 Lu. 2°90" chen Seite sueur
card, fo eran,
Ka 243 +646-=057+054 10% 12,
RE 98 Laois
sing he chart on page 23 for 13.8,
four that fr = 26 the masimar re
(0386 mapeo rm asl om page A
Since Spi ls ran eier i tp ani
veloc oa he an file sind 3p
{he ane Sep
dp 20.7869 125 9472, 0y945 Nore

no

CREATOR

w= 5556

ln Steps 12 nd 12 couts sot het à ames

inert fm Butt incre in oc volte frm et

tbe page A replies à

rer pet
ARTE NOTE towne the st

outer wal ye on at comment ot anne

‘estes

oe
Source of the

Discharp of Fluid from Piping Systems

Example 21... Guns
Sone necio

Gin: Coke orn pa hang u specie gay of 02,

2 hake pres of 50 segue and à temperature of

60°C omg er € sof ech Seda 20

ps beer ünchrpng lo aumen. Aare US ef

Spec basta = Le

{and The ow atin ab mates per hour at
Standard Cordon.

Salton = fr theory spa 19

A sa

1 dene RE ne
werk. pe
A "209 1013=3013

3 720008 nn BRAS

4 ens Daum nobis
2 ner EE as nn. te
reas rennen 829
Bota NL tem a
Reason co
a dp. soon
LL

7 Using the hao age A22 fre 1g
‘un that for & 285, De motu
BASS (trait for tne age 8.2)
Since ap: soles thn diated a Sep ic

dain

felony caste ord the pp
Sup o

ap= 0685p) 0655x9013 259
a name

veus SEA

10 met

ON EI

PRET

continued

Example 622... Camaret Fi
San Vi

ine: Ais a greso of 133 bar zuge and tn
ture of 40 I menerd ete point sete From
‘be et of et Schedule 89 pipe dista to
atmosphere

Find The Row em cable meter pe mints sine
Stare Condition

ee a
rk 34
werk. um
2 nme
3 Sm
een mais
Baars tly ere
La MS} eus
E an tre
éme meinen
PRET EE agi
EA
Yeon Pen
A mamas
COREE

dd OIE

More

TS

cane

Flow Through Orifice Meters

Example 423... Levi Serie
Gien. À sguae eds once of 50 mm deter is
‘asad à 1025 mm Wi ister pipe Bale à
mean mares connecte Seen th pipe ab À
ares vien and 05 ane! domo

Find: (a) The tote clan costa fc
ue when ed om 15 € water a forthe ge
Shree osc lw eigen Cl contra,
(0), te Dow ine of 15 € wate wher the mec
oficina 110 mets

pets
2 omas E. nates
Rex 120 page 3:2 oF 38

2. To deere ferent pssst cos he topa

Med ei ts
share A © een ed line of

3 The weht denny of mercy under van gilt
Pw Sh Si Share (1150)

Dm dent of wate 29890 pate A6
Sig pee gamiy of etemy= 1387
pat AT
Sie specie rity of eters 1.00
mas
4 AnsaottgunderihO 2990287100)
assis
ETE
E A
6 alarm) = 1025
NT o
nn peazo
9 qumorxsorxosas [CRA
00365 Vain ‘aration corset
Saturn 0

la Q=365 ER 365 VT 383

pren pas
„ za 0599
Be Ree sr
Rex 720000 72% 10°

13, C0635 i cone for Re = 7.2 x 10%, pos pue
20 otr, te Dow te rau te pipe
385 ke per mite.

24. Wien the © factor co page A20 1 ou ar
the Reynolds number based on aluted fw!
mast be adhd Uni zssosbi agree It
reece by repeating Step, 20 nd 12

ample 26... Lain Flow

Te poe pa sic
fa ett EN
OS 1 Lat 0:82 ong og
Sr sa pel pec I ge
DEEE eo
ener

Find The tte in ite pos nue,

cute JE su
1 me psss
name
Re BBE pastes
2 Arezsri00=0038
W038 ce apelar
ms. te
a
E :
5 pa A0 ans ae
qe E “bated on laminar flow
2 seameause pea?
somo mar
RE ere
“rasen [2 - 280.5
ge DEIS apy
dE: 79x38 u
1 CIO RR un mA

Since teases Clue of 08 inet cotes.
m Seated by pening Stee 6 7, 51049.

12 cos csvumes, page A20
‘ D

LR Q= 2107458" 2087 en

20 ar A es

Ha Rye PELIS 1960

For
IS. Ce aan, 21960 os page 20

Since € = 087 1 come fr the fom, tie Now
‘Brough he meter 318 Ue pe it

ao

crane

Sato

Application of Hydraulic Radius to Flow Problems

Example 4.25... Facteur Duct

Oben: A rectangular cont overflow uquedue 7.6 mtrs gh
fed mete wi, has an absolute rouge (3 maletas

e |
|

ind; The dure tate In cube metes per seco when the
lagu Inthe sei us eahed the axiom het inde
in ih ae seth, Aue the erage temperate ofthe wet
sis

A A

=
a a

om
a anne A pas

eee foe 8 foo y tubule dow
ces: puit A

ares Fe
CA 9 grumarsıs (TES
a

Liane 2 mer and ext

gras

ss

To dermis he fun facts fem the Moody
dagas, an equi Same

la

Kor stars of sour

EA =“)
& aa meter rein
Deanyeanıss

7 Rae rangos, iv 09008

arom
20. Cute Re

or four ies he

«f= 4000 Ry = 4000 1. = 6000

check, = 0.017 or = 839? Dow

ages
pares

Syd ad ends tert page 3. di aro : pue AG
12 peu sueno
ype sti An us EZ
” Be Re HEREIN
rene RIA Re 162000000 oF 1.62 10°
M ran? forcaelte Ré page 426
4 encima ceci 15. Since th ton tr assed Step and at
4-05 a rage anv dame in Su 14 are in apor, he
Assuming sar ged oi tater tage ws Be 89 ae
bar ge ary JU the sus fin tor andthe cion

Then van ofen
Krass1a=1s

enden,

factor based en the culto Reynolds numder
stereo m raonabe aren, the Tomer

‘oul be aun 1 tem pet al

na arene sch

grane carrer xs os Low mom 0-9
Application of Hydraulic Pads to Flow Problems ~ continued
Bemoie 28... ie Pray Fes
Gon A cat hes ge tot A of sey. A Th co ca aa
Siam Main wats 08 C) Ve pipe Par mae AE ER 3 180) 172000
Se e Hope Fe ees a I
— PEE
12, Beane loo 00625 oca rm
FE, 12. Tewenet ptr ga
jee “(ass
fa >
DA HT (sss
ee aan woe)
ho op. se mun RE con
St ies Le
I. Egan ce d= 00 Ry. 6
1 gran JE pase ana 191152 700
Sie spe owes pray 0 20 16. Rates £00096... pa A
ono Enetopon yea is bette Be
Fu Di Eten os pa 1 im pose AS
Dey mens
pita 12 grasse JTE
2 are / J
= 2000114
2 ys See pes 2 Cate te Reyne member o check de
ps Sto cat IT.
a Rooms D mess o mens
, 2 eus eres
Depo owing wnt equ: pees
2 a re ETI
co) comm D
“ DETTE
4 Ga 0e sum
2 sans pu ate
ene ar a
eB terme 24. Sie en ator se o Sep 17 and
wenn Sat ein Sp 3 we nape he
à nes nd magias] Sow ee nee,
ace SF [GER 25. 1 te mu (re cr and de rico

ze és 172000 am

meca e

A TT nm

4 ALA ame Be 00228)

peers

Factor Va on the ete Reynolds uber
were aot reasonable sement, De Tomer
old e sones and de eaten opened
an conste agreement suche

‘Application of Hydraulic Radius to Flow Problems — continued

Example £26... Pie Partly Fed
Gen: eut wen pie e roads fa of say.
warn aang mer (18 ©) The pie ha a mae

ltr 0600 ym and à sep a 16 Se seth
on.

se

fant eo M
2 gros ne pda
Since sine Doi ay fo wegen 16
e]
oca spas) "
ps
fee
a voa JE
FR ered peras 25 "
En 2
à
2 Dest Novag rente
Zoe =
onen
“me Brom
= a
eee
sap) natn! swear se
à acord [reisen
Ed »

Nice ko Be 1 150?

“Ta sos sten Row ae quo
ABC =(2 14150) + 172000

ADAC © 200300? 40.2008 mi
4200 309

a3 2355000

bn ano Le 0.0625 mate perme

‘The werd perimeter equis

suivie dinate 5000 8 = peat 3S
an 60000475 = 700

eats rough

Eaves)

suming fly rule
ina a2

¿omo

1200156

(2 89000 tren

Case the Reyna number to chesk the
framed in tp 7,

a meno
RN pa

pen boss

aa 265000 0 245 10%

FON... mern

‘Since the fon factor mes in Ste 17 and
tet Stern in Stop 3 em per, oe
Row ste be 89000 ein

1 the sumed fin ctor end the fiction
factor bad on the cdi Reynolds number.
were fot 3 Tesonbeeement. the Comer
Stould be jue and we ealelatons era
nacio armen! reached

cxarren a exaunuesor sLowenceLes crane

Physical Properties of Fluids
and Flow Characteristics of
Valves, Fittings, and Pipe

APPENDIX A

‘Taw phys! propertes of many comonly ud Ais
tte required for the solution cé flow problem Tip
send pue complationof euch prope abet
lefomaton pen by the sure jene à I pera
tats hat bee converted ane pene hee En
esti

os txt on the sujet of id mechani cover deta
{he om thou pipe ut teow chicane of anes
aná Ags ate gen Ite, I ay, atentos, roby
House le information ha not been made. Ths
pren Leases yperntaon of dat which coros 4
Be or nel rene cote Prato
types of aes and lino ad the method of emploi
tha csi! obtain etre Sop or hed ler och
Vales aed gs exalted Chapter 2

“The Y no pario cora fo uch of compres
Tis fen pia system, which ae presence Le

"ide mans fr gen ssp laos of Paolo
ome probly

A=2 msi PROPIAS oF FLUO AND FLON CHARACTERISTIC OF VALVES ETS AMO MEE CRANE
Viscosity of Water and Steam’ — in ontipoise (1)
bi wy BUNR CN ELMER ERA A |
o Tso Taw Loose EE TEE EI EST
EI 06 one | one] aan eur pe se a
EN IEA E ENE
EN EEE COCA E EEE
so | on as) os o
os | an op | os ona NE a on Las
an [us os fus ow 00] om 00] 09] 29] 04] 00] m Cons
RE RC E e
E an om] om am an msn EE ED
350 mo on om au on] on si ENEE ES]
00 | an one fon os) on | on mL auf we oe | ED
EN EBENE E ET a
eer Tin owe igen eyes nme gate Tea

RANE nice MOPENTES oF FLE ALO COM ch aRACTERSTIESOF VALVES ETHICS AM TE A=

Viscosity of Water and
Liquid Petroleum Products

Adapted nor cas exacted fom,
Bar en 12 38023

i
HE

10, 409 801 rs

| 0 eran

ies

Temper in kan)

‘icity of water at 2 K+ 047 etn Ler €

A2 nova PROPERTIES OF FLUIDS ARS FLOW CHARACTENSTICS OF VALVES, FITTINGS Au HPE CRANE

Viscosity of Various Liquids

A | JA
Y
L/

= Tema eres Cue 00)

Sample: The scout of ammonia at
AS
Adit om dt ents fom Bah sfr 5,8, 11

CRANE_rarsica PROPERTIES CF FLUIDG AND AUSM CRARACTENITIC OF VALVES. ENTINGS NORE A

Viscosity of Gases and Vapours

‘Te ees fos hector apo tual
fe he eta st the pger gee pic
om dea tan om Nant cue or Vitae Vaio Gas

ect ae nn
IM di, in ame a tm
er A [
sro, el at ems
Fer. i AAs: +
Ti pes in Kam on
Sr tera Lu GEO AE
= about temperature, in Ken, ¿ADA PTT
‘ere ita aoe de AA
© Sues conta = À na:
De wen el ot wh ese du a
1a lr mn pu Fe pepe =
Eiern eier 77 I
BE SAL

11]
1 TTT}

- = Temperature nantes Case
El an inert van
a su 4 5
Elie 77 eb
om! .
and j
en see oe
Upper chart example The asie of sulphur uo 2a lla] 7]
Arie 2 50,100 CO 16 cenit ==
Lover hat exemple Te vay of cabos ES H
lowe as COM wt about 30°C nie SE cet
tp so!

“Tempest, egret Coie

crane

Physical Propartis of Water

E
: r
El ie | Bi
Ru |

To conv Spee Volume from cubic ciate per ops (ea)
{etic meus pe log (Ik) Seales ble by 10°

To comes Deity fue logras per cub met (sn) 1 logs
ee (gfe di malas lala by 10.

Spel gro of water at °C 100,

Data on presse and volume abstrcted from UK Nata) Epic
ran St Table 1964" wc econ oF HMSO.

Specifie Gravity Temperature Relationship fr Petroleum Ol

(aaa

rom dat excl fom Biography eee 12)

11

E
E
5
H
?
E

T

Sonic Grin

Density and Specific Grevty* of Various Liquids

"9 2 Temps, Ores a

To fo nse fa sha ons
‘DU the specie py of te at Sowing pen Gre eae an)

ie CE

| A |. |®
ee | bat
a EA iR 8
eB] it Ed & |

Values sn above tbe are ba
Refinery Enns

Sritsonon Phys Tables, Ma Eire Handbook sn "Neon Pn

ALO Pasan PROPERTIES OF ELADS AND ELO CRARACTERISTIC OF VALVES. FITTINGS AND MIDE CRANE

Physical Properties of Gases
[noprocimate ales a 20°C and 101525 dar

apc tat acosta prete
specific hat cortan volume

# Es |
ees NES = !
O te | 25 ES
EE
Ex EE E
Bee [EEE B

‘ert KO pp oe eh ny e pi y

RN Tae RES

A

Steam — Values of Ientropie Exponent, y %

ras entente (um 0) nn op 0

7

Density and Specific Volume
(Of Gases and Vapours
on page Acta onthe fora uns

OP 1253 Mir
CES

whee: p= 1.013 +9

Liver Gas Contant = 8316
Moser weight fie = 29

elon: Miri dei of CH sempre 40°C dog pre

Solon: Rfe o th ab cape A for molecular weight, soci iyo in

tl ges unten. Consent $10 of he R le min on the ements

[Bu te seco ith tendon sel. Conve pl eis 10 the ue

ae p Read ihe answer 120 kgs pr ca met Ode sebo

beets _
non mg POS BN ee eta weh 2297)

a
1 He
| | 2
E is E Ei
E Be La à
aa coli de
| a Eh
SNE a Rg ÉÉÉE
a El
EARAE
Earl
ERDE] 742] The table ax the left caleubted for the perfect gas
a RSet Pacts Stee Sti ee
Eales aT rg
Sela) Alga] prices, e to ts
BAS es
FASTER men oo tna and rin
E caricia dec
SRE ao

PERTE OF 6.108 AND 5-0 ENARACTEMIENIS OF VALVES PTI ano PAM

ua et

Ga

Density and Specifi Volume
of Gases and Vapours ~ continued

{ =
8 Hé or
sh ES
HER te E
E se
IE ihe
é ge

3

ernst cat ne te
nn epg fe

Meso wee ee ma. un
it joo eso pe

AZ PHUSCAL PROPERTIES OF ELU AND FLON CHARACTERISTICS OF VALVES. SITTINGS AND me CRANE

Volumetrie Composition and
Specific Gray" of Gaseous Fu»

EURE
a [re
som | 00 [re
sor | so [or
so [vo fer
reo [re Lui |
= ne] |
ae [a 7 coa
' Y 7]
al 1 oi mono ele |
mo | e D momo oe
vr so cy
wo | os ve u run mw 05 |»
ee CIE 5
rs [es io ous | eur >
salon
ou | on E
so rn som 1
Pr u
Zu| u Ze aa Pr
¡vogue | omy justo [vogue | cıp4H| er =)

CRANE _snvicas MOYEATIES OF ELVIS AND PLN CHARACTER TICS OF VALVES FITTINGE ANG ne

pear

Properties of Saturated Steam

Si, Uni

AIM PRVBCAL monta of ELLIS ANO HON DAARACTERIICS OF VALVES. FHTTINGSANO IPE CRANE

Properties of Soturated Steam
S.. Units — continued

firm ES
EA

E
Ei

Bo | Beast | mas | tae

Ee

Se Foios
Soe, Sue

Properties of Suparhaated Steam
Sa. Unis

“Tot Teen Das Cain FE

who | ye S| ou tes | gage less ose

vo mes | sas au [as [| az | ane | aes |
EEES EJES

[es |e | EEE
DRE ERRE

Ea ss E]

“er ES] EN

A A

EA HEEE
E Pr
=]: ee
Eb FES

comer eve IS

ALIS mareas paginé or LUIS AND Soh SARATEMETIC OF VALVES ETS ano re CRANE

Properties of Superheated Steam
5.1 Units— continued

“adap opera Pe
ol
xo | 20 | y Pape
EA EE
i EEES
IEA Tan isa
| i EE
A EE
H es
Der ix
A E EE
H E IRA
bed ad Bch [ser

Roe Tocomer date Ute dae mataro

Properties of Superheated Stam
$. Units — continued!

TE a <a
Fa so | as | zo fus [ex | wo | «eo | m] [an | ow
wa ma En
| 3
waa aaa [| wee eT las

¡EEES
BEE sear] | Bam | as
LIRE IE eal PE

Pajas ==

¡REE En
AE JE
je]: EE FIRE EHE]

ABBESESFSEESETEHENES

GER 5010050] 00/10/02] 08]83
EIER wat] se] at] us] sa] ui man me
EIER EEE

Le...

Ik 1. geek:
N

El

Es —

TS

N;
(A

20 PUYECAL PMOPERTESOS FLUIDO ANO LON ENARACTUN TIO? VALUES FITTS ANDPCE CRANE

Flow CoslficiontC for Nozzles

à

IT}

Example: The flow seiten
Clore nee an Bor 080
Seyi mabe 20000
AS

oia

Flow Coefficient Cor Square Edge Orica"

CRANE picas more ris OF FLUIDS AND # ON CHARAGTEMENCS OF VALVES, HTTINGG AND FI A

Net Expansion Factor, Y

For Compramible Flow tush
Norns and Orion “were nd Vent Tuan

17219 prenne
GO, $0, MOS MO GC seb)

“e m
, |
de Sins!
PP”

En

;

i-

B

we

. vo

A 222. PRYECAL PROPERTIES OF LDS AND BUON CRARACTEMBTIC OF VALVES FITTINGS ANG ire CRANE

anni 1310 69,99, 9,0. MS. Ni, KO GC, €

Net Expansion Factor Y for Compressible Flow
“Through Pipe toa Larger Flow Area

yes

ill Por Beni Velocity

ass — yea

i La
as — TT 7]
es : =
“ l 51318
sa le
cs sels
an B | EN
e FRE4EN

IN T For Son Vans
r |
a! -

|

ako su MARGE ETS OF VALVES SITTINGS ANO PEA 23

CRANE mica: mopenrisor

Rotatve Roughness of Pipe Materials and Friction Factors
For Complete Turbulence

ATA oper
a
E a A
“SARA +
al HH i rg
it I T 5
y DR I N. 8
i = : ;
E oe
Em $
cot BS
E Fi

Cabas Roue in tira

Problem: Dtemine alte and rire soighnest, nd fiction factor, fer

Fa bent ow ett on pipe SO mm. di

Sion: Absolute roughest (02 028 Relate roaghres (ea) 0001
cto aire ful troie fou 4) 00136

A=24__ musica POTENTES of BLUIDS AD Fo CnasacTESETICS CF VALUES FITTINGS AND HE CRANE

Friction Factors for Any Type of Commercial Pipa

CRANE owvsicas moe 07 FLO ANO FLOW CHARACTERISTICS OF VALVES PTE AND POE A

Friction Factors for Clean Commercial Steel Pipes

vA FACTOR TABLE = SHEET 10tá
Roprasantative Reistnce Coofficants (K) or Vales and Fittings

PIPE FRICTION DATA FORCLEAN COMMERCIAL STEEL PIPE
"WITH FLOW IN ZONE OF COMPLETE TURBULENCE

saya

02] 025 | 02 | 022] 021

10 [15 | 0 Papo ea

208065] on [on [où

FORMULAS FOR CALCULATING "FACTORS *

(Forts 2+ Formal sn 9 180°

We ease y+ Forma ie seas y= Fools

Ace EU... Kn Fam 2 BCE... Ky Forma

CLARACTENISTICS OF VALVES ronge AND PE A-29

CRANE persas pnoremies Os sut ano su

tance Contfiions(K) for Valves and Fitings

Representative

GATE VALVES SINO CHECK VALVES
ads Die, Double De, or Pla Type

‘ac ih =
: |
B< band as <9 < 180. Ky = Formula 6 mas 157 except
LIL listed = 1207
‘GLOBE ANO ANGLE VALVES | LUFT CHECK VALVES

|
|
|

sop WP

Ko euros
CO
109 VF

CT
E EA

mm pre slo
ETAPA

ENANA

"A" FACTOR TABLE -SHEET at

Rept

ntative Resistance Coofiients(K) for Valves and Fitings
dor frota od ron an ge 428)

stor oneex VAL VES | Foor vatves win sraainen
canon eg ioe poro Die Hinged Die
15)
se Le
Dr Rare hr
fe eye keene? Ninna ple reci Mtz pie way
mu ppm aman ppeecy | CPR “par aci
eme Lan my? mas V7
„a VF ess VF
5 " | + re! '
Dal RD Behe Kye fr 1 Les
BEN. A Fomu Be rem
M genes Kar
Minima is ee pa) fer fal e Betis cas K+ Foils
Bm | seras coe ne. ky «Forma
Ce
Pa Ke Beh Ress
BEL. KyeFonmde7 Bel... = Fam?
Sint RER... KEE
Minima pie mc (op tr aci | Sey 250mm (10 t0380mM ULE). 27
snp VF Sos 40 0m (16719600 me OH)

RANE PASCAL »ROPERTIESOF L106 AND FLSH CRARACTÉRICUCE OF VALVES, FITTINGS AND PE À 28

°K" FACTOR TABLE SHEET 014
Representative Resistance Coetiient (K) for Vales and Fittings
PLUG VALVES ANO cock STANDARD ELBOWS
Srita au S u

ps
soi: mes
Room “
— dt
| 3 one er
>

90° PIPE BENDS AND

FLANGED OR BUTT ELDING 80 BONS Bu
nc coffin. for pie be tr han stale
Se in
Korn (0251/5058) +
meer
‘CLOSE PATTERN RETURN ENS is u

ALO mivéions PROPERTIES OF FLUID AND FLOW CHARACTERISTIC OF VALVES. SITTINGS AND PPE CRANE

Equivalent Lengths £ and L/D and Resistance Coeficient €

Inde meter Bo, in

Engineering Data

APPENDIX.

‘This secon includes amber of table and among
se A summary of SI units, prefixes 208.
‘sys llo presas

“Tables of emerson o sel sige to ANS, BS and 180
standards a prorded wal as complete station of
er and a fw pre drop pro

CARNE

Equivalent Volume and Mas Flow Rats of
Comprstibie Fluide at Mati Standard Conditions
de de w
“ mm iv
se tna
Es Pers wd
Es Wap
Eno Messe
Dé ott matic
Eno “una codo
| peed (15°C ang 1.01325 bar)
E MM 14
3 3 3
E i 5 I
E E 3
E 2 we
5 3 sol
:

&
&

ate ol Fm, usar of lega

Seti: 2 29000 Kona a ho

Equivalents of Dynamic (Absolute) Viscosity

om oo | Ea | a
wel wi 2 | ue | wee

El IAN = | |

Bet ae | m = 1

ES | | |

Yo conser ae or dynamic vio fiom oe et
Sf a to ait ate the ser st of lo e
fen and en an maple amelie by
‘he factor shown Hecken toe neh ance re
andre

Example. Convert an abune ico of 00014
dll seco to coso. The conversion fOr
bs mon 19 de 47860, Tren 0018 times 47820 =
Frigo.

Equivalents of Kinemati Viscosity

Toran]

worry | eee | a wer
a tro ms wm |

To comen Nm: vico fom ome e of at Lo
‘eer lest the gen set of oni fe lft hid
lun ad multi) the Domena va y the for

Showa boom to th tis ander het of te

ocres ate:

Example. Comer a Atemate city of OS foot
‘aoatediosnd o Sonics. The comento ter
Se 1a 92903. Then OS sine 92 908 = 46 ST
coles

Eason of Kati ales of Koti
sx ay Uno Veco aná Sob oral Way
Es = | um:
cone EEO Ar ign | BT]
| | 58 x Bar sr
= | æ
|

ote Te o de Spot, Unna se

BESS aac
cnc

‘Peet td whe paris fe yet se se cate eo

eat age it ot stad Tan EO, HOVER, 1300 CENSTOKES AT MOE mc

BR en ae ag tent Surg Soe AS Lom ap
fon ma DST (lien 93978

crane

Equivalents of Kinematic, Saybolt Universal,
Seybolt Furl, ond Absolute Viscosity

i,
Ay

303835
eg

$

4

in bruns Sic: Univer Vimos aed
Sabah Forel Vicon a NUDE aed 1220, supero, and
Kibenase Vacody tikes fees ASTM. DIEM A oer
empor. tne Say Vins vary ely ashy

‘sult Vistes abo tote shown are pen by te lin
ship:
Sabot Unreal Senda onto x 4447
Saal Faro Seconde centtokes x 04717

ef
je =
ee EEE 5

SEGA SEERA TEER e
Seton: Come 083 gn ne gesto pay

RANE

Saybolt Universal Viscosity Chart

CRANE

Equivalent of Degré API, Dogrns Baume,
Specific Gravity and Density
at 60F/60F (156 6/156 C)

mel Heil

JB 32203 SEINE URES ARELE uRYEE ERESS EST:

EE

3;

#8

i

&

o andy ue de ety! 10°
Pereira

ee amexouee ENEE DATA
INTERNATIONAL SYSTEM
‘OF UNITS (sh)
“The mame Synöme Intemational Unité (ntratoal Stem of Unis),
‘et ran SL has adopted bythe 11 Genel Conferense of Weighs
sd Meso in 1900
Them race the dass of un
ben,
Gsm unit
LD des une
Mg hese form he coherent sten ofS nits,
BASE UNITS Nowe Symbol
Moar pl
cui cren ner a
“emo tempera kevin x
hama nen nda a
noun of tance poe mol
SUPPLEMENTARY UNITS Out Name Srta
Pis ange ren na
Sold Ange Henn “
DERIVED UNIS Quant Nome Senda Eguren
frequency be He em Loy
fone newton RER
peur mas al Pi Tat Ne
vk nay quinto
‘othe joe 1 1) sim
ee CRE IW sti
any otero € 16 IA
te poten potent
"afanes, tenso,
comme fre vol v hy sims
A TR tag
fee cane om a In Vin
‘eta conductance eme S ts 2104
ax of gate
eduction, mese
fh eter We A
nar fx density,
eT IT io
igs lux Mes et Hy os
maso in EN er

crane ARRE -enaigering O47

INTERNATIONAL SYSTEM
OF UNITS (SI) (Cont'd)

‘cata am which ae tr S ye: us Bae international reopiion
ted i, ol comin tbe sane The mot pans oF hee se

ua: In aon he second ($) he coings
nn ue
Rane Symbol
pres min
tow à
ay A

Other atu a werk, month and year wil so
coi oe

PLANE ANGLE:
Fnac rhe dan (ae) he following nt wl continu 10 be wed
ame Symbol
due :
‘TEMPERATURE:

In adr to the eh (8, which ee othe abot or emma
al, cetonay tarot wi br mee detes Co °C
Formal als cetgace, The de tees on ne Keli nd Cebus
‘eae we der Dt horns elie sat so, D dager Colas
the ner eme ee

actor

7
in
i

0
EN
EN
ES
ov

FASSENT

an a protic aes os rit contre tbe combined with ut a
Cors ane at bel ac cn beef à ponte ner pe
ta wich can do core wi oe at zo o foun compound une
Wa cabine ree tas! land 1 one o neue) poner
‘bey mut Decoder aon le dida nt and na a oat eis,

en Am {oemton mete)
wh watt non)
reine ae le nin ace! t the ai

er MN (megane)
po (agent)

EXCEPTIONS

DECIMAL MULTIPLES AND
SUBMULTIPLES OF STUNTS
PREFIXES:

WRITTEN USE OF SYMBOLS
AND PREFDKES

ancora crane

Conversion Equivalents

‘Toe comecion equiclen given on hi page and pags B= 11, 8 12, ae bed

Peace arian is ett oa er Soe et
a ea o oe
A
ls
== aime
= A

rre — manzerına our Pe

pa

= u er Ju
“a | wie | gee GE | tke

= | Ge | | ee | Be |
_— PS | tome Mast
le ets

dese hi Boos blo

EE ec cd tee
ke En Le 03 =
sé [que ML | bow | tities | gt

EM [a |e ES ft

r= TA RTE ES | Yess
Aa
= |

EA

‘region | Kings | Hope foros | pound force | Foros
e
CHER E

Fa tne ae BATON

Rae

Conversion Equivalents — continued

== Gs | Tr T
uam | dm) ET T Pe ua
BE | me | m

‘ees ane aa ya aan en hen oe m in (Pa Ne
Teen
ren

W999?

REZ ar Cp dl Be at Cas Urn Te

=
= ze
| ra mp
EIA |

ET won

Do a? 2 109 in 0981 min?
Ag 0001 pend «CMD
Seite Vote. en 0.01 mg 248

RANE areas - ana Cara

Flow of Water Through Schedule 40 Stee Pipe

ES
nue tel

di uN
| pate son

ie

Flow of Air Through Schedule 40 Stee! Pipe

US GULES IE AGEs mass ame sun

ow of ter trough Sede 40 St Pie,
contin rom pe B = 13
Flow of Ar ough Sado 0 St Pip,
connie rom aia wae
En Nari ash, Tem mann
Ei ae

soar crane

{Commercial Stel Pipe
sd on ANSI BIG 1PAE7D and BS 1600: Part 2: 1970

| ge [on [Oo TE | dite
= | | me | e = |= |
dotée ill E
= | ji [alu ag
Ace Si li E
las 3 le |
E Glad HE
IE Blass un
MEET E
¡ME ill, EE:
il: E Ue aon
“a | ge a |
RE | sl
Gl 2 | Eu
pl |

crane arpano e = ENGINES pera. 2.

Commercial Stee! Pipe
amd on ANS! 83.101070 and 86 160 Pat 2 1870

E 7

oINCERING DATA crane

gr oven
Stainless Ste! Pipe
Band an ANS! 836:191965 and BS 1600: Par 2: 1870
amar E que | mia EE
= =] ®
Ind zu | man
(él

"Vara ame ra A ow o o as 17 fr St WP

ar Seo ine

8-10

Commercial Stet Pipe

Stet trom 150296 1974 and BS 2600: 1872

BER:

20239

Saga

soazaagangang 2078:

FEED i 3 i

FFE a B —

PRESS saa |

Hi djasgeananaceag |
|

au

FE |

ca MA — _

ES ® . E

Y ssévsnenc e sasgam panama: nunanaman

IM mfruos some sis aagzasza HORS ankam

BE Bliss =anaz anına anaaseas anıasosasır aasasssans

dedo 2 2 2 a a

(Cy < - B Ñ

ba anewoice - nainegeing ata RANE

tos! Pipe — continued

E z 3

E |
à Fa
E | a | 4
BH | Ei
ot inches ie BS 2600: 1973 Cra
1 Else
| LE

Pan Rind roi
oS aR TTS
E ee
Ee ee RARA
=a aa aT aaa
Be fed ede ed ed ed ede bee
qa RES ec [on 20 |x ane |
| aaa aa aan oa aa et
bral ee kept fen be ed ee ed
peal alee pel edt
Verla an em
don | uo ay logs lon o dam as Lure
Bee be eee eee
Feo Bes ea Pee eed ed

3333 88858

row ou = PL q + Le doo
ES

pario
Bco

rer ee (e) tks into act al oe in
par and anne
rar

dl: Eu Eu ie a wa, mar me
tae by inch ye pa Eu ie
Msn her el a

pip Cpu ana Pad rre, To cc he
owe: gl Tor xk la, pe eos ead
‘iat ‘se aed to te svat Kee o ost de
{otal feds ths alae ated un te et pone
‘gute geen oe

EN Sat it a

‘TEMPERATURE CONVERSION
CCR.
| [ho mue
El Ha 58

sip hate St

iin apes abren 08 Cosel! af had lo

E
3
E
2
3
Tags