Performace critetia of heat exchangers...
Heat exchangers
Performace of HE
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Language: en
Added: Aug 10, 2024
Slides: 56 pages
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