Heat Exchangers Performance criterion.pdf

HamzaZahoor26 9 views 56 slides Aug 10, 2024
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About This Presentation

Performace critetia of heat exchangers...
Heat exchangers
Performace of HE


Slide Content

Heat and Mass Transfer
Lect. 8: Heat Exchangers Performance
Dr. Muhammad Ali Kamran

•These handouts are in no way,
whatsoever, a replacement of the
lectures or the book.
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
2

Cold Water at 20°C (C
p=4180 J/kgK) and
5000kg/hr is to be heated by Oil supplied at
100°C and 7000kg/hr (C
p=2200 J/kgK). You
selectfromamanufacturer’scatalogashelland
tube heat exchanger (1 Shell, 2 Tube pass)
havingaUAvalueof11600W/K.Determinethe
wateroutlettemperature.
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
3

Important equations
q= ṁ
hc
p( T
hi-T
ho)
q= ṁ
cc
p( T
co-T
ci)
q= U A He
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
4

Min and Max Fluids
•In a heat Exchanger, the fluids are also
classifiedbasedontheirHEATCAPACITIES
•The fluid withLOWER HEAT CAPACITYis
termedastheMinimumFluid
•The fluid withHIGHER HEAT CAPACITYis
termedastheMaximumFluid
LOW
ERH
EOW
ARH
A
•Minimum Fluidundergoes the higher
temperaturechangeintheheatexchanger
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
5

Inlet (°C) Outlet (°C)
Hot Fluid 140 100
Cold Fluid 30 90
Identify Min and Max Fluids
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
6

Which Fluid Appears to be the Minimum Fluid
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
7

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
8

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
9

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
10

Effectiveness of Heat Exchanger
siiblehtbrbnnTfwTf
cleuCOfUbCefNECrnibE
RCFhLuLfWgnnhIObfUbCefNECrnibE
TfH
"
N
"#
mN
"%
TfH
&
'N
&%
mN
&#
)
!
)#*
=!
"
Max Possible heat transfer will occur in a
COUNTERFLOWheatexchangerofINFINITElength
ffN
"%
TN
&#
If Hot fluid is Min Fluid
For =
)+,

)+,
=
!
)#*
(
N
"#

N
&#
)
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
11

Which Fluid Appears to be the Minimum Fluid
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
12

Effectiveness of Heat Exchanger
!
)#*
=!
&
ffN
&%
TN
"#
If Cold fluid is Min Fluid
For =
)+,

)+,
=!
)#*
'N
"#
mN
&#
)
TfH
"
N
"#
mN
"%
TfH
&
'N
&%
mN
&#
)
Hence
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
13

Effectiveness of Heat Exchanger
wT


)+,
Tf
!
"'N
"#mN
"%)
!
)#*'N
"#mN
&#)
=
!
&'N
&%mN
&#)
!
)#*'N
"#mN
&#)
TfH
"
N
"#mN
"%TfH
&'N
&%mN
&#)
If Hot fluid is Min Fluid
wT


)+,
Tf
f'N
"#mN
"%)
'N
"#mN
&#)
If Cold fluid is Min Fluid
wT


)+,
Tf
f'N
&%mN
&#)
'N
"#mN
&#)
w
=
H-Cr.bfhrfNbL/bECeuEbfgifRhrhLuLf0Ouh1
RCFhLuL
fNbL/bECeuEb
f2hiibEbrlb
fhr
f-
fUbCe
fsFl-Cr.bE
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
14

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
15

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
16

Effectiveness
•In addition to the type of heat exchanger,
Effectiveness depends on the following
parameters
Ees
5OxO,
)#*,!
)+,
•ThesecanbegroupedintoNonDimensional
Numbers
7m5e:
67
8
9:;
No. of Transfer Units
!
<=
8
9:;
89=>:Heat Capacity Rate Ratio
E
=

(
7m5
,
!
<
,
oTgf
:MAr=g.4TD
:mF1T
)
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
17

Parallel Flow Heat Exchanger
P.
m
@
m
A
e b5x
B
!
)#*
C
B
!
)+,
P.
m
@
m
A
= −
5x
!
)#*
BC
!
)#*
!
)+,
P.

m
@

m
A
=

7m5
B
C
!
<
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
18

Or

N
@

N
A
=

5N3
B
C
!
<
xN
@
xN
A
T DEFf'm5N3'BCH
<
))
xN
@
T N
"%
mN
&%
xN
A
T N
"#
mN
&#
xN
@
xN
A
=
N
"%
mN
&%
N
"#
mN
&#
If Cold fluid is Min Fluid
w T


)+,
Tf
f'N
&%mN
&#)
(
N
"#

N
&#
)
Add and subtract T
ci
in the numerator
xN
@
xN
A
=
N
"%
mN
&%
CN
&#
mN
&#
N
"#
mN
&#
xN
@
xN
A
=
N
"%
mN
&#
m'N
&%
mN
&#
)
N
"#
mN
&#
= !
"
N
"#mN
"%TfH
&'N
&%mN
&#)
!
)+,
N
"#mN
"%TfH
)#*'N
&%mN
&#)
N
"#mN
"%TfH
<'N
&%mN
&#)
N
"%TfN
"#−!
<'N
&%mN
&#)
xN
@
xN
A
=
N
"#
−!
<
'N
&%
mN
&#
(mN
&#
m'N
&%
mN
&#
)
N
"#
mN
&#
xN
@

N
A
=
'N
"#
mN
&#
)−(BC!
<
('N
&%
mN
&#
)
N
"
#

N
&
#
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
19

xN
@
xN
A
T DEFf'm5N3'BCH
<
))
w
=


)+,
=
f
f(
N
&%

N
&#
)
'N
"#mN
&#)

N
@
xN
A
=
(
N
"#

N
&#
)

(
B
C
!
<
)
(
N
&%

N
&
#
)
N
"#
mN
&#
xN
@
xN
A
T Bmw'BCH
<
)
Bmw'BCH
<
( T DEFf'm5N3'BCH
<
))
w T
BmDEFf'm5N3'BCH
<
))
BC!
<
If Cold fluid is Min Fluid
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
20

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
21

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
22

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
23

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
24

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
25

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
26

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
27

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
28

Heat Capacity Ratio = 0
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
29

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
30

Cold Water at 20°C (C
p=4180 J/kgK) and
5000kg/hr is to be heated by Oil supplied at
100°C and 7000kg/hr (C
p=2200 J/kgK). You
selectfromamanufacturer’scatalogashelland
tube heat exchanger having a UA value of
11600W/K. Determine the water outlet
temperature.
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
31

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
32

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
33

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
34

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
35

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
36

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
37

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
38

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
39

Objectives of this Study
•To understand the design process of a heat
exchanger
•To introduce parameters for assessing the
performance of a heat exchanger under prescribed
conditions
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
40

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
41

hi= 7543 W/m
2
K
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
42

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
43

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
44

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
45

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
46

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
47

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
48

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
49

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
50

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
51

Constant heat flux
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
52

Constant Surface Temperature T
s
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
53

Concentric Tube Annulus
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
54

Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
55

Concentric Tube Annulus
Dr. Muhammad Ali Kamran, Deptt. of Mech
Engg., UET Peshawar
56