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IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 01 Issue: 03 | Nov-2012, Available @ http://www.ijret.org 276
THERMAL ANALYSIS OF SHELL AND TUBE HEAT EXCHANGER
USING MAT LAB AND FLOEFD SOFTWARE
A.GopiChand1
, A. V. N. L. Sharma2
, G. Vijay Kumar3
, A.Srividya4
1
AssocProf, 2
HOD, 3,4
STUDENT, MECHANICAL ENGINEERING, SWARNANDHRA COLLEGE OF ENGINEERING
AND TECHNOLOGY ANDHRA PRADESH, INDIA, allakagopichand@gmail.com, avnls277522 @gmail.com
vijayramuk311@gmail.com, srividya330@gmail.com
Abstract
In this paper, a simplified model for the study of thermal analysis [1] of shell-and-tubes heat exchangers of water and oil type is
proposed..Shell and Tube heat exchangers are having special importance in boilers, oil coolers, condensers, pre-heaters. They are
also widely used in process applications as well as the refrigeration and air conditioning industry. The robustness and medium
weighted shape of Shell and Tube heat exchangers make them well suited for high pressure operations. In this paper we have shown
how to done the thermal analysis by using theoretical formulae for this we have chosen a practical problem of counter flow shell and
tube heat exchanger of water and oil type, by using the data that come from theoretical formulae we have design[2] a model of shell
and tube heat exchanger using Pro-e and done the thermal analysis by using Floefd software and comparing the result that obtained
from Floefd software and theoretical formulae. For simplification of theoretical calculations we have also done a Matlab code which
is useful for calculating the thermal analysis of a counter flow of water-oil type shell and tube heat exchanger.
Index Terms: Counter flow of shell and tube heat exchanger of oil and water type, Floefd software, Matlab software.
--------------------------------------------------------------------- *** ------------------------------------------------------------------------
1. HEAT EXCHANGER
A device whose primary purpose is the transfer of energy
between two fluids is named a heat exchanger[4]. Aheat
exchanger may be defined as an equipment which transfers
the energy from a hot fluid to a cold fluid, with maximum
rate and minimum investment and running costs[5].
1.1 Shell and Tube Heat exchanger
In this type of heat exchanger one of the fluids flow through a
bundle of tubes enclosed by a shell. the outer fluid is forced
through a shell and it flows over the outside surface of the
tubes . such an arrangement is employed where reliability and
heat transfer effectiveness[4]. It is the most common type of
heat exchanger in oil refineries and other large chemical
processes, and is suited for higher-pressure applications. This
type of heat exchanger consists of a shell (a large pressure
vessel) with a bundle of tubes inside it. One fluid runs through
the tubes, and another fluid flows over the tubes (through the
shell) to transfer heat between the two fluids
Fig-1:Shell and Tube Heat exchanger of type Water to oil .
2. FLOEFD
FloEFD can be used to study the fluid flow and heat transfer
for a wide variety of engineering equipment. In this example
we use FloEFD to determine the efficiency of a counter flow
heat exchanger and to observe the temperature and flow
patterns inside of it.
With FloEFD the determination of heat exchanger efficiency
is straightforward and by investigating the flow and
temperature patterns, the design engineer can gain insight into
the physical processes involved thus giving guidance for
improvements to the design.
A convenient measure of heat exchanger performance is its
“efficiency” in transferring a given amount of heat from one
fluid at higher temperature to another fluid at lower
temperature. The efficiency can be determined if the
temperatures at all flow openings are known. In FloEFD the
temperatures at the fluid inlets are specified and the
temperatures at the outlets can be easily determined.
3. DESIGN CALCULATIONS [1]
3.1 THEORITICAL DESIGN CALCULATIONS:
 cm  Mass flow rate of cold fluid
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 01 Issue: 03 | Nov-2012, Available @ http://www.ijret.org 277
cm 0.9
sec
kg
 hm Mass flow rate of hot fluid
2.5
sec
h
kg
m 
 ccp  Specific heat of cold fluid
4.2c o
kj
cp
kg k

 hcp  Specific heat of hot fluid
2.5h o
kj
cp
kg k

 hiT Inlet temperature of hot fluid
383o
hiT k
 2hT  Outlet temperature of hot fluid
2 360o
hT k
 1cT  Inlet temperature of cold fluid
1 308o
cT k
 2cT  Outlet temperature of cold fluid
  Density of oil
3
850
kg
m
 
 oU Overall heat transfer coefficient
  Effectiveness of heat exchanger
2
350o o
w
U
m k

 lmT  Logarithmic mean temperature difference
 Q  Total heat transfer
c c lmQ m c T 
Q=heat gain by the cold liquid=heat loss by the hot liquid
c c lm h h lmQ m c T m c T   
20.9 4.2 ( 308) 2.5 2.5 (383 360)
346.029
cT
k
      

 Outlet temperature of cold liquid
2 346o
cT k
c c lmQ m c T 
0.9 4.2 (346 308)
143.74kw
   

 Rate of heat transfer
143.74Q kw
 Logarithmic mean temperature distribution for
counter flow heat exchanger(LMTD)
1
2
1 2
ln( )
lm T
T
T T
T 

  
 
1 1 2
2 2 1
h c
h c
T T T
T T T
  
  
(383 346)
(360 308)
(383 346) (360 308)
ln( )
44.07o
k


  


Area of shell
0 lm
Q
A
U T


3
2
143.74 10
350 44
9.318
A
A m




 Area of tube
h
t
m
A
v

22.5
0.0084
850 0.35
m 

2
0.0084tA m
 Number of tubes
2
2
4
4
t
t
d
A n
A
n
d
 



2
0.0084 4
(0.02 )
26.93 27n tubes



 
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 01 Issue: 03 | Nov-2012, Available @ http://www.ijret.org 278
 Length of tubes
9.318
27 0.02
5.49
A n dL
L
L m
 



 Shell outer diameter
O
A
D
L


9.318
0.540
5.49
m 

0.540oD m
 Effectiveness
max 1 2
min 1 1
( )
( )
h h
h c
C T T
C T T

 

max maxC of hC or Cc
min minC of hC or Cc
min
max
0.9 4.2 3.78
2.5 2.5 6.25
c c
h h h
C Cc m Cp
C C m Cp
    
    
1 2
1 1
( )
( )
h c
h c
Cc T T
Ch T T



6.25(383 360)
0.507050
3.78(383 308)

 

0.507050 
3.2 THERMAL ANALYSIS CALCULATIONS BY
USING MATLAB.
For thermal analysis calculations by using Matlab program
we have to provide some parameters like mass flow rate of hot
liquid and cold liquid. Temperatures of inlet and outlet of hot
liquid and inlet temperature of cold liquid.
Input
Output
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 01 Issue: 03 | Nov-2012, Available @ http://www.ijret.org 279
4. MODELING OF SHELL AND TUBE
HEATEXCHNAGER USING PRO-E
SHELL
Outer diameter of the shell is 540mm
Inner diameter of the shell is 520mm
Thickness of the shell is 10mm
Material we have taken for shell is stainless steel
Length of the shell 5.49m
Inlet and outlet nozzle diameter of the shell is 100mm
Thickness is 10mm
Fig 2 SHELL
FLANGE
Outer Diameter of the flange is 540mm
Inner Diameter of the flange is 520mm
Thickness is 10mm
Outer diameter of the nozzle is 100mm
Inner diameter of the nozzle is 80mm
Fig 3: FLANGE
BAFFLE END PLATE
Diameter of the baffle end plate is 520mm
Number of holes on the baffle end plate is 28
Hole diameter is 20mm
Figure 4. BAFFLE END PLATE
BAFFLE PLATE
Baffle cut is 25%
Thickness of the baffle plate is 10mm
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 01 Issue: 03 | Nov-2012, Available @ http://www.ijret.org 280
Fig 5:- BAFFLE PLATE
TUBE
Outer diameter of the tube is 20mm
Inner diameter of the tube is 16.4mm
Length of the tube is 5.49m
Number of the tubes is 28
Fig 6:TUBE
PRO-E Assembly Model
Fig 7: Model of shell and tube heat exchanger
5. THERMAL ANALYSIS USING FLOEFD
By using the thermal analysis result that obtained from
theoretical formulae. We have designed a Pro-e Model, and
the materials we used for thermal analysis for tubes is copper
and shell is stainless steel because Copper is one of the best
conductors of heat, while stainless steel is a mediocre
conductor. Using copper would increase the rate at which heat
was transferred from oil to the water which is imported into
the FLOEFD software and started the analysis, the results that
obtained from FLOEFD where represented by contour plots.
Figure 5.1:Contour Plot Results of Temperatures of Inlet and
Outlet temperatures of Hot and cold liquids.
Figure 5.2:-Halfcutted Contour Plot results that showing the
temperature of Outlet Hot oil(Yellow color) and Inlet
Temperature of cold water(Blue color).
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 01 Issue: 03 | Nov-2012, Available @ http://www.ijret.org 281
Figure 5.3: Half cutted Contour plot results that showing the
temperatures of Inlet Hot Oil(red colour)and outlet
temperature of cold water(greenish colour).
CONCLUSIONS
We have done the thermal analysis of water to oil type of shell
and tube heat exchanger using Matlab and by using the output
that come from Matlab we have modeled a shell and tube heat
exchanger using Pro-e and imported this model in Floefd
software and we have run the thermal analysis and we
compared the both results and we are getting an error of 0.02
3in effectiveness .By using above process we can do the
thermal analysis in less time and our analysis report also most
accurate .
ACKNOWLEDGEMENTS
We thanks to our Assoc.Prof.R.Samsukumar for providing
Necessary support doing this work. we acknowledge the
diligent efforts of Ramgopal Varma Dandu,Applicant
Engineer,Trident Tech Lab for doing thermal Anaylsis.
REFERENCES
[1]International Journal of Ambient Energy, Volume 31,
Number 4Thermal analysis of counterflow heat exchanger
with a heat source Assad, Kotiaho
[2].http://www.copper.org/applications/rodbar/alloy360/cu_ste
el.html
[3]. MNL 032A Issued 29 August 08, Prepared by
J.E.Edwards of P & I Design Ltd, Teesside, UK
www.pidesign.co.uk
[4]Shah, R. K. and Seculik, D. P. Fundamentals of Heat
Exchanger Design. Wiley: New York, 2 0 0 3 .
[5].Fundamentals of Engineering Heat and mass transfer by
R.C.Sachdva

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Thermal analysis of shell and tube heat exchanger

  • 1. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 01 Issue: 03 | Nov-2012, Available @ http://www.ijret.org 276 THERMAL ANALYSIS OF SHELL AND TUBE HEAT EXCHANGER USING MAT LAB AND FLOEFD SOFTWARE A.GopiChand1 , A. V. N. L. Sharma2 , G. Vijay Kumar3 , A.Srividya4 1 AssocProf, 2 HOD, 3,4 STUDENT, MECHANICAL ENGINEERING, SWARNANDHRA COLLEGE OF ENGINEERING AND TECHNOLOGY ANDHRA PRADESH, INDIA, allakagopichand@gmail.com, avnls277522 @gmail.com vijayramuk311@gmail.com, srividya330@gmail.com Abstract In this paper, a simplified model for the study of thermal analysis [1] of shell-and-tubes heat exchangers of water and oil type is proposed..Shell and Tube heat exchangers are having special importance in boilers, oil coolers, condensers, pre-heaters. They are also widely used in process applications as well as the refrigeration and air conditioning industry. The robustness and medium weighted shape of Shell and Tube heat exchangers make them well suited for high pressure operations. In this paper we have shown how to done the thermal analysis by using theoretical formulae for this we have chosen a practical problem of counter flow shell and tube heat exchanger of water and oil type, by using the data that come from theoretical formulae we have design[2] a model of shell and tube heat exchanger using Pro-e and done the thermal analysis by using Floefd software and comparing the result that obtained from Floefd software and theoretical formulae. For simplification of theoretical calculations we have also done a Matlab code which is useful for calculating the thermal analysis of a counter flow of water-oil type shell and tube heat exchanger. Index Terms: Counter flow of shell and tube heat exchanger of oil and water type, Floefd software, Matlab software. --------------------------------------------------------------------- *** ------------------------------------------------------------------------ 1. HEAT EXCHANGER A device whose primary purpose is the transfer of energy between two fluids is named a heat exchanger[4]. Aheat exchanger may be defined as an equipment which transfers the energy from a hot fluid to a cold fluid, with maximum rate and minimum investment and running costs[5]. 1.1 Shell and Tube Heat exchanger In this type of heat exchanger one of the fluids flow through a bundle of tubes enclosed by a shell. the outer fluid is forced through a shell and it flows over the outside surface of the tubes . such an arrangement is employed where reliability and heat transfer effectiveness[4]. It is the most common type of heat exchanger in oil refineries and other large chemical processes, and is suited for higher-pressure applications. This type of heat exchanger consists of a shell (a large pressure vessel) with a bundle of tubes inside it. One fluid runs through the tubes, and another fluid flows over the tubes (through the shell) to transfer heat between the two fluids Fig-1:Shell and Tube Heat exchanger of type Water to oil . 2. FLOEFD FloEFD can be used to study the fluid flow and heat transfer for a wide variety of engineering equipment. In this example we use FloEFD to determine the efficiency of a counter flow heat exchanger and to observe the temperature and flow patterns inside of it. With FloEFD the determination of heat exchanger efficiency is straightforward and by investigating the flow and temperature patterns, the design engineer can gain insight into the physical processes involved thus giving guidance for improvements to the design. A convenient measure of heat exchanger performance is its “efficiency” in transferring a given amount of heat from one fluid at higher temperature to another fluid at lower temperature. The efficiency can be determined if the temperatures at all flow openings are known. In FloEFD the temperatures at the fluid inlets are specified and the temperatures at the outlets can be easily determined. 3. DESIGN CALCULATIONS [1] 3.1 THEORITICAL DESIGN CALCULATIONS:  cm  Mass flow rate of cold fluid
  • 2. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 01 Issue: 03 | Nov-2012, Available @ http://www.ijret.org 277 cm 0.9 sec kg  hm Mass flow rate of hot fluid 2.5 sec h kg m   ccp  Specific heat of cold fluid 4.2c o kj cp kg k   hcp  Specific heat of hot fluid 2.5h o kj cp kg k   hiT Inlet temperature of hot fluid 383o hiT k  2hT  Outlet temperature of hot fluid 2 360o hT k  1cT  Inlet temperature of cold fluid 1 308o cT k  2cT  Outlet temperature of cold fluid   Density of oil 3 850 kg m    oU Overall heat transfer coefficient   Effectiveness of heat exchanger 2 350o o w U m k   lmT  Logarithmic mean temperature difference  Q  Total heat transfer c c lmQ m c T  Q=heat gain by the cold liquid=heat loss by the hot liquid c c lm h h lmQ m c T m c T    20.9 4.2 ( 308) 2.5 2.5 (383 360) 346.029 cT k          Outlet temperature of cold liquid 2 346o cT k c c lmQ m c T  0.9 4.2 (346 308) 143.74kw       Rate of heat transfer 143.74Q kw  Logarithmic mean temperature distribution for counter flow heat exchanger(LMTD) 1 2 1 2 ln( ) lm T T T T T        1 1 2 2 2 1 h c h c T T T T T T       (383 346) (360 308) (383 346) (360 308) ln( ) 44.07o k        Area of shell 0 lm Q A U T   3 2 143.74 10 350 44 9.318 A A m      Area of tube h t m A v  22.5 0.0084 850 0.35 m   2 0.0084tA m  Number of tubes 2 2 4 4 t t d A n A n d      2 0.0084 4 (0.02 ) 26.93 27n tubes     
  • 3. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 01 Issue: 03 | Nov-2012, Available @ http://www.ijret.org 278  Length of tubes 9.318 27 0.02 5.49 A n dL L L m       Shell outer diameter O A D L   9.318 0.540 5.49 m   0.540oD m  Effectiveness max 1 2 min 1 1 ( ) ( ) h h h c C T T C T T     max maxC of hC or Cc min minC of hC or Cc min max 0.9 4.2 3.78 2.5 2.5 6.25 c c h h h C Cc m Cp C C m Cp           1 2 1 1 ( ) ( ) h c h c Cc T T Ch T T    6.25(383 360) 0.507050 3.78(383 308)     0.507050  3.2 THERMAL ANALYSIS CALCULATIONS BY USING MATLAB. For thermal analysis calculations by using Matlab program we have to provide some parameters like mass flow rate of hot liquid and cold liquid. Temperatures of inlet and outlet of hot liquid and inlet temperature of cold liquid. Input Output
  • 4. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 01 Issue: 03 | Nov-2012, Available @ http://www.ijret.org 279 4. MODELING OF SHELL AND TUBE HEATEXCHNAGER USING PRO-E SHELL Outer diameter of the shell is 540mm Inner diameter of the shell is 520mm Thickness of the shell is 10mm Material we have taken for shell is stainless steel Length of the shell 5.49m Inlet and outlet nozzle diameter of the shell is 100mm Thickness is 10mm Fig 2 SHELL FLANGE Outer Diameter of the flange is 540mm Inner Diameter of the flange is 520mm Thickness is 10mm Outer diameter of the nozzle is 100mm Inner diameter of the nozzle is 80mm Fig 3: FLANGE BAFFLE END PLATE Diameter of the baffle end plate is 520mm Number of holes on the baffle end plate is 28 Hole diameter is 20mm Figure 4. BAFFLE END PLATE BAFFLE PLATE Baffle cut is 25% Thickness of the baffle plate is 10mm
  • 5. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 01 Issue: 03 | Nov-2012, Available @ http://www.ijret.org 280 Fig 5:- BAFFLE PLATE TUBE Outer diameter of the tube is 20mm Inner diameter of the tube is 16.4mm Length of the tube is 5.49m Number of the tubes is 28 Fig 6:TUBE PRO-E Assembly Model Fig 7: Model of shell and tube heat exchanger 5. THERMAL ANALYSIS USING FLOEFD By using the thermal analysis result that obtained from theoretical formulae. We have designed a Pro-e Model, and the materials we used for thermal analysis for tubes is copper and shell is stainless steel because Copper is one of the best conductors of heat, while stainless steel is a mediocre conductor. Using copper would increase the rate at which heat was transferred from oil to the water which is imported into the FLOEFD software and started the analysis, the results that obtained from FLOEFD where represented by contour plots. Figure 5.1:Contour Plot Results of Temperatures of Inlet and Outlet temperatures of Hot and cold liquids. Figure 5.2:-Halfcutted Contour Plot results that showing the temperature of Outlet Hot oil(Yellow color) and Inlet Temperature of cold water(Blue color).
  • 6. IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 01 Issue: 03 | Nov-2012, Available @ http://www.ijret.org 281 Figure 5.3: Half cutted Contour plot results that showing the temperatures of Inlet Hot Oil(red colour)and outlet temperature of cold water(greenish colour). CONCLUSIONS We have done the thermal analysis of water to oil type of shell and tube heat exchanger using Matlab and by using the output that come from Matlab we have modeled a shell and tube heat exchanger using Pro-e and imported this model in Floefd software and we have run the thermal analysis and we compared the both results and we are getting an error of 0.02 3in effectiveness .By using above process we can do the thermal analysis in less time and our analysis report also most accurate . ACKNOWLEDGEMENTS We thanks to our Assoc.Prof.R.Samsukumar for providing Necessary support doing this work. we acknowledge the diligent efforts of Ramgopal Varma Dandu,Applicant Engineer,Trident Tech Lab for doing thermal Anaylsis. REFERENCES [1]International Journal of Ambient Energy, Volume 31, Number 4Thermal analysis of counterflow heat exchanger with a heat source Assad, Kotiaho [2].http://www.copper.org/applications/rodbar/alloy360/cu_ste el.html [3]. MNL 032A Issued 29 August 08, Prepared by J.E.Edwards of P & I Design Ltd, Teesside, UK www.pidesign.co.uk [4]Shah, R. K. and Seculik, D. P. Fundamentals of Heat Exchanger Design. Wiley: New York, 2 0 0 3 . [5].Fundamentals of Engineering Heat and mass transfer by R.C.Sachdva