Fluid Dynamics - तरल‌ गतिकी @irfanullah_mehar.pdf

Fluid Dynamics - तरल‌ गतिकी @irfanullah_mehar.pdf

1. Physics
<br>
Notes
<br>
IrfanullahMehar/
<br>
[email protected]
<br>
irfanullah_mehar
<br>
WorldofWisdom
<br>

2. joresr
<br>
Vai'able
<br>
Flutd
Dyramies
<br>
(CríticalVelocity
<br>
o0(Benoullirs
<br>
Lymostn
P.
<br>
(Ner
compesibe)
<br>
gof
<br>
140112024
<br>
costhut
<br>
(Rojationat)Sheamtine
<br>
(Janotational)
<br>
|(enna)
<br>
Terbulant
<br>

3. o
<br>
Thutflooin
whfchcharacteshco
<br>
fuid
(Presue,valocity.daity)
anecojaud
<br>
bofthtimeat
q
certainpofat,
<br>
t,ae
<br>
Called
Costcut
foo.
<br>

4. Vaiakleflao
<br>
Thattle0tn
oldch
chavactesaticsof
<br>
fuld
vonieswilhtineal
a
cedaln
<br>
ae
calleol
vassable
<br>
APoint
<br>
fiy,
P
<br>
3
Compreasiblefls
<br>
Thatflns
<br>
Va
<br>
V3
<br>
inohh
cenei
<br>
ne
<br>
loo
<br>
pit
toanotes
<br>
poiti
caled
compreac?bleeutd.
<br>

5. A
<br>
NomCompssi
ble
flo
<br>
Thatteoinwhch
denaity
d
tut
<br>
iealtedcomagtatalUpeiatte
<br>
Uen
cmpreacikle
<br>
Compresible
<br>
A
<br>
lom-
comoveasible.
<br>

6. That
<br>
rotatesat
oanaxis
<br>
alng
withontim
<br>
utctional
<br>
hstrearn
Bne,
assecallad
<br>
That
ooinwkoh
<br>
dent
ootatealg
<br>
pestieleottoia
<br>
tcn
s
<br>
calledinottienfowehe
<br>
eJRTJStrean
line)
-
<br>

7. Strea)line
<br>
Thatfoo
<br>
apausing
<br>
opeacin
thungh
pojntollous
<br>
path
<br>
Sream
ne
<br>
gameveloetty,
<br>
called
<br>

8. Inthis
leno
velocit
<br>
teoitferend
pointbt
<br>
willbe
constaut
<br>
beditteventat
<br>
diectionf
tlooo
<br>
Sheaminefow
<br>
That
frausin
whchfutd
sblsing.
<br>
inthefom
dittenontlaye
atant
<br>
herizmtal
swtace4layescan'titeuet
<br>
lannas
<br>
iscalle
<br>
flw
<br>

9. Tabulet
<br>
V
<br>
Va
<br>
(Lanuhas
<br>
lose
<br>
mne
<br>
That
vasiakleRwsin
tohichpaticles
<br>
cwent
<br>
Tisklewis
<br>
durto
<br>
Vs
<br>
Ve
<br>
(raerae)
<br>
Ldomy
produce
<br>
nespnsjbleoreneg
<br>
aaldy
<br>
Cwent.
<br>

10. vaiesatd'tet
<br>
Mostohe
eeg
<br>
ecdcumedtobelance
<br>
vesianet
<br>
15
Novo2024
<br>
decays
<br>
CrihicadVelecit
<br>
(nifaGaoT)
<br>
y
<br>
to
produce
<br>
5As
speed
okflsw
okflud
increaes,
shrea
mlid
<br>
tbuleu
flawt
<br>
flow
convertedînto
<br>
detinite
specd,Thet
definite
speedoftoo
<br>
2ecalled
crihical
veloeity
<br>

11. Crittcalvelocityis
Hhatsped
o
flao
<br>
fluid,lo
wtll
bestream
neitt
specd
<br>
velocity
<br>
offlos
isLessthayenhal
<br>
4
floo
willbetwbuet
ispeedo
<br>
than
cnhical
<br>
floais
<br>
N
<br>

12. Re
<br>
Iti
acimonsIcnlessm0.
<br>
A
<br>
ReynoldsNumbea)
<br>
dt
<br>
no.wt
colwbhdescnbes
<br>
Re
<br>
Re-
<br>
Reynold's
Numbe
<br>

13. (i)Re<10oo eR|
<br>
(ü)
<br>
NOTE
<br>
Re
<br>
Re
2DO
<br>
Reas
<br>
ReoV
<br>
Reod
<br>
1
<br>
Redn
<br>
ReVld1
<br>

14. Ans
<br>
Q.9
<br>
sters
<br>
Re
V
dnt
<br>
(n
=10l<3/m)
<br>
Ans-8
<br>
T5c
<br>

15. f=
103
<br>
V=
<br>
=
<br>
5cm/e
<br>
15X
16m)e
<br>
(Eruatian
<br>
eO
Pipe
<br>
Y2
<br>
A
<br>
Re
=
<br>
Svd
<br>
Re
=
<br>
ap 450X10
<br>
Re=45D
<br>
Re>20DO
<br>
t,
<br>
t
<br>
t
<br>
Cemst,
<br>
t
<br>
l63
<br>
t
<br>
X162
<br>

16. V,
<br>
ti
<br>
t
<br>
V2
<br>
t
<br>
t
<br>
Conet.
<br>
V-
Ax
<br>
AX
<br>
t
<br>
t
<br>
)
<br>
Comsto
<br>
Cnst.
<br>
A1V
<br>

17. i)
<br>
Note
<br>
for
compressible
tuid
<br>
t
<br>
t
<br>
tyt
<br>
CUnte
<br>
t
<br>
12
<br>
2SAG-
cout
<br>
AAV Cnat
<br>
m
<br>
Censt
<br>
SAV=cUrst,
<br>

18. ptsble
<br>
Non
visceCus ds
<br>
This
eqnis
<br>
principleob
<br>
cynamjes
.
<br>
eveloeit
<br>
mathematfesexplainatiem
<br>
mass
<br>

19. Ans
<br>
flowrate
ololme-flao
yemalns
<br>
hilein
compresibleuidendy
<br>
Cc)
<br>
mass
<br>
":AV=Corst,
<br>
VCovat
<br>
Ymass
<br>
vemalcostate
<br>
Va
<br>
rete
<br>
Va
<br>
1
<br>

20. (A)8.0
<br>
m(e) 5
mls(c)
J.0m)s
<br>
(0)2695ms
<br>
AV
Constaunt
<br>
Avetes
<br>
15A/
<br>
(hEit
<br>
AV,
=AV,t).5
AV
<br>
(AX3)
=A(o5)
+l5'Av
<br>
AV
<br>
3AJ5A
+l•5AV
<br>
1.54
V=
l•5
A
<br>
l65A
<br>
Ans-
c
<br>

21. A2mm
<br>
,-0.5mb
<br>
AV=A,v,
<br>
AV=Const.(fSH)yas)t)3ãajo0)
<br>
(AV
A,V,A,V,
<br>
2X18x
2
<br>
()AVAaV
<br>
t
<br>
1X)03
x
2X16°x2
<br>
J53
<br>

22. (i))
312)d
E
<br>
9ndGiraale2013
<br>
Q.s
<br>
Ans
<br>
Ans
<br>
V,-3mA,-
2m2
<br>
(a)
m
(3)
m2(c)3)
<br>
J.
<br>
=2x6X2
<br>
80
<br>
Ax
<br>
(d)
2
<br>
2X3AX5
<br>
G=5
A
<br>
\A2 m
<br>
6
<br>

23. (1)
<br>
(8
<br>
as
<br>
(Pressuneneg
<br>
rcssuhe
<br>
V)
<br>
P.E
=
PV
<br>
fusing
<br>
(AXS=V)
<br>
PV
<br>
PU
<br>
31244)
<br>
esswue
Tep
<br>

24. (8
<br>
PEmgh
<br>
K.E
<br>
(H)P)
3)2)
dy
<br>
faRIas (PstevntialEnergg)
<br>
RE mv
<br>
KE,
=)
mv2,
<br>
PE,=
<br>
GraitytP
<br>
m
<br>
-n
<br>

25. Ans
<br>
Ang
<br>
(a)4.25
309
<br>
(b)12o5
<br>
g.66)
<br>
rlo
<br>
-4.2O
<br>
(9)3.0
ms(b)5.7
ms
()3.82
<br>
7.60
<br>
X5.12
<br>
(C)0-125
0)
<br>
2.B6
ms)
<br>
267
<br>

26. Benoulli's
Equatia)
<br>
Beunslli'sea
<br>
S
athenatical
explarton
<br>
consehvationo
enegg
<br>
cohichísonly
applcable
<br>
non
<br>
hose
<br>
osttuid,shen
as
<br>
Llealflud.
<br>
compressible
nonvisceus
ne
<br>
whosefes
fsConstt
itational.
<br>
Accoringtoths
equati
on,SAJ
AO
<br>
af.
SgKTotalengy
pes
ut
<br>
velume
4atluingtud
ferstrcaminad
<br>
nsehesl.
<br>

27. hcoo
<br>
eonst()
<br>
Censt.
<br>
Censts
<br>
=
Consto
<br>
PV
<br>
Note
"ATVd
<br>
2915
<br>

28. gndGrealeao6
<br>
Ans
<br>
B)
<br>
(1)214|1
<br>
A
V
PJ
<br>
AmunmaxPmìn
<br>
AppllcctiensoBenoll's
eg
<br>
ARY
<br>
A
<br>
PL
<br>
VIP
<br>
A
<br>
V
<br>
boatsmeviig
<br>
Somecirceticm
<br>
frum
Helipad.
<br>

29. Jothematio)
blader
aewpance
<br>
in
y
pipe.
<br>
Pz
<br>
(Suing
ball)
<br>

30. /Benelivseq)
<br>
(AP-,9(v'-v))
<br>
Ap
-
g(V-V)
<br>

31. H
<br>
aeT
<br>
Specd
oEfux
<br>
(Hn
<br>
S-wtsat
<br>
-|H-h
<br>
(H-b)-o1Aqt
<br>
t'2(H-h)
<br>
V2=U42as
<br>
Range
<br>
R
VXt
<br>
R
2]h(t)
<br>
R=uht)
<br>

32. 16
Nov
2O24
<br>
Note
3
<br>
dh
<br>
V=
<br>
h
<br>
Rmax
<br>
2P
<br>
)
<br>

33. Time
<br>
T
<br>
T
<br>
tak
ento
enptyank
<br>
2(tb)
<br>
a
<br>
ayRTET
(HozoxdalRuqe)
-
<br>
(4))00m/s
<br>
R=
2hlH-h)
<br>
(3)10]10
ms
<br>
Rmax
<br>

34. Ans
<br>
V
<br>
(3.5X|05310) v)
<br>
2
<br>
O5
XL5
<br>
163
<br>
(A)4095.DPasca
<br>
l03
<br>
2
<br>
()403.5
Pascal
<br>
CC)
u
950Pascal
<br>

35. Ans
<br>
V, 120
m)s
<br>
APP-P.P
<br>
AP
<br>
Q)o
3)S0))5X/34
D99Pg
<br>
(A)J2
<br>
As
<br>
(C36o)
<br>
H,=h
<br>
1
<br>

36. Ans
<br>
Q.5
<br>
Ans
<br>
ehe
<br>
(9)JD
mls
<br>
p=3am
<br>
p=3XI65
<br>
1X)0
<br>
àss)
<br>
(b)20
<br>
(b)J6oDm)s
<br>
2P
<br>
2X3XI05
<br>
J2x|0X20
<br>
03
<br>

37. Q
<br>
Ang
<br>
(A)
<br>
4h
<br>
A
<br>
t
<br>
A
<br>
A,V
<br>
(e)H>A
<br>
t
<br>
Jh-Jo
<br>
2JK
<br>
t=2t|2
<br>
AV
A¬
<br>
A
<br>

38. LH
h-10.G
<br>
-;H30,6-10.C
<br>
J0.6c
<br>
|20c
<br>
h
Ne
<br>
h
<br>
FergK
<br>
A)2eo B)20.0Ch
<br>
O
10.6
cm
(D)4o.0
<br>
h245
X2845
<br>
h
Oo
30625
<br>
h30.6
25Cm
<br>

39. Ans-4
<br>
uwate
<br>
D
<br>
(e)
,
ž•
<br>
X
<br>
V
<br>
H
<br>
D
<br>
(A)xDH-D)
<br>
8(3)
X=D(H-D)
<br>
2
<br>

40. P
<br>
(A
<br>
Cc)
5
3on
<br>
PQ
<br>
Cb)
mun.
<br>
(d)3my
<br>
Anse
<br>

41. Ans
<br>
h,
=H
<br>
2
<br>
toH,-JHa
<br>
)
<br>
JH-JH
<br>
XS2
<br>
0mun
<br>

42. viscosity
<br>
opposes
<br>
neaT(Visosity)
<br>
is
a
propenty
ofluid,
ahioh
<br>
relative
noten
b/w
tuwo
<br>
the
<br>
clsseayos
<br>
Cayensoffutd.
<br>
Old)
<br>
This-fYceis
called
scemeforce
or
<br>
itenal
Aictioralforce.
<br>
Visceoufrce
Hhat
wtesnaltuguutl
<br>
-fereewhlahdanpethe
velative
motiog
<br>

43. Ts
tore
eactstangtially
oppostteto
<br>
elativemoten,
<br>
3
<br>
Thistoreedoeiht
depend
<br>
oeacten
oree.
<br>
ace
<br>
ThiskazEdepend
<br>
Swsece
+relatve
velaeitybo
lasers.
<br>
f
cotacted
<br>
dx
<br>

44. Neuotuss
formuta vscoeity
<br>
SIHS|G
<br>
al
<br>

45. NOTE
<br>
1
<br>
Axthipid'essipinople
<br>
(Bueoynt
tosce
<br>
Th=
m S
<br>
Vo
<br>
eBF.
<br>
Bath
Tub
<br>

46. (Sokes
fomuto
)
<br>
Ahen
<br>
fe
Upused
<br>
Aecorg
<br>
aeius
<br>
hmeweDSLS
<br>
tostoes,ohen
a
yhe
%
<br>
will
b
<br>
be
<br>
acts
<br>
dueto
<br>
elat
<br>
plwando
<br>

47. wsceous
<br>
Uguidthen
<br>
contolleoy
<br>
on
<br>
TheM}
<br>
vsceou
erce,ohen
<br>
totaltree
<br>
constanteloery
<br>
get
a
cnstant
<br>
tts
eloo
<br>
spheu
iszer0
<br>
toninalreloert.
<br>
then
<br>
called
<br>
Fnet+0
<br>
eonhalcboty
<br>

48. ("5-95)
<br>

49. 201,
2022,
<br>
eNotev
<br>
t
<br>
("mar)
<br>
Cohesiveforte
ismatnTeasoviscosty
in
<br>

50. (A)
<br>
is
cectyings
degondondittusen
<br>
Ql9)
<br>
Vscostyderettateoted
<br>

51. Last
Cass
<br>
9nd
Gyade
2022
<br>
Q2y
<br>
Ans
<br>
VI
<br>
o022/2o1/
Do1e(SpelFlu)
<br>
V
<br>
()8V(8)
<br>
)
<br>
V,=V
<br>
V(SoSe)
<br>
m
<br>
(c)2v
cO)V
<br>
Bym)
<br>
S
<br>
cnst
<br>
4
<br>

52. 2nd
Gracro023(Scunskritdept)e
<br>
Q. 5|
<br>
(A)1:y
<br>
Q26
<br>
(2)481
<br>
(©1:2
<br>
6221
<br>
9moGrae203
(Sanskitlepta)
<br>
A
<br>
An
<br>
D
<br>
Lsfsa
<br>
VB
<br>
An
<br>

53. Q,
graale
<br>
(A
<br>
Ans-
<br>
2o18(Sanskitdepte)
<br>
inesely
proportinal
<br>
fyrE
<br>
fudr
<br>
gmdGradle2015(SpcEu)
<br>
(H) (B)V2ccJ2V(o)4v
<br>

54. Ang
<br>
4strade
2c)8
<br>
(A)
<br>
(O
<br>
V,ar
<br>
V2
<br>
2Y
<br>
(B)
<br>
(3)
<br>
An-d
<br>

55. 0
Re
<br>
C/s
<br>
(A)2.5
cm
<br>
Chapten
<br>
(8)
50n)sCc)
Jocm/%(o)2o
<br>
5
<br>
5
<br>
Va=20
cm
<br>
(ztna)
<br>
2
<br>

56. NEET9021|
<br>
yceine
Uconctaines
<br>
5)312d
<br>
Tht
v
W
<br>
Fv
=
W-Th
<br>
Vo
<br>
Thvo
<br>
Fv
<br>

57. Neel-2cy
<br>
Qg27
<br>
Ans
<br>
()
79/7
2(6)
19/36c)39/2
(d)7/<
<br>
gn
<br>
V
<br>
V
<br>
36
<br>
Va
<br>
So-SL
<br>
(8-0./S)
<br>

58. IrfanullahMehar12thBio1O0%(2023)
<br>
KuchamanCity
<br>
BIOUGH
<br>