Performance Analysis of Cross Counter Flow Shell and Tube Heat Exchanger By Experimental Investigation & Mathematical Modelling

DOI : 10.17577/IJERTV2IS70097

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Performance Analysis of Cross Counter Flow Shell and Tube Heat Exchanger By Experimental Investigation & Mathematical Modelling

Performance Analysis Of Cross Counter Flow Shell And Tube Heat Exchanger By Experimental Investigation & Mathematical Modelling

Parmar Kalpesh D Prof. Manoj Chopra

M. E.(Thermal)* HOD (Mechanical Department)) Rajiv Gandhi Prodyogiki R.K.D.F. IST,Bhopal Vishavavidhalaya,

Bhopal

Abstract

Heat exchanger is a Major element as far as heat transfer and energy conservation is concern. There are so many types of heat exchangers available in industry but due to wide range of design possibilities, simple manufacturing, law maintenance cost, counter flow and cross flow heat exchanger extensively used in the petroleum, petrochemical, air conditioning, food storage and other industries. In this paper the mathematical modelling of cross-counter flow heat exchanger is presented. In this paper an attempt is made to analyze the performance of shell and tube type cross counter flow heat exchanger by changing the various parameters like both hot and cold fluid flow rate, direction of fluid flow. After changing the various parameters, the maximum performance obtained. For that the mathematical model of counter flow heat exchanger is adopted and also the analysis of the heat exchanger is carried out.

In this paper, in order to analyze the performance of heat exchanger, one experiment was carried on counter cross flow shell and tube heat exchanger in one chemical laboratory at Rajkot. The performance of heat exchanger is evaluated by changing the various parameters and find out the maximum performance (effectiveness).

Keywords

Cross-counter flow, heat exchanger, -NTU method

  1. Introduction

    A heat exchanger is a device that is used to transfer thermal energy (enthalpy) between two or more fluids, between a solid surface and a fluid, or between solid particulates and a fluid, at different temperatures and in thermal contact.

    Typical applications [1] involve heating or cooling of a fluid stream of concern and evaporation or condensation of single or multi-Component fluid

    streams. In other applications, the objective may be to recover or reject heat, or sterilize, pasteurize, fractionate, distil, concentrate, crystallize, or control a process fluid. In a few heat exchangers, the fluids exchanging heat are in direct contact. In most heat exchangers, heat transfer between fluids takes place through a separating wall or into and out of a wall in a transient manner.

    In many heat exchangers, the uids are separated by a heat transfer surface, and ideally they do not mix or leak. Such exchangers are referred to as direct transfer type or simply recuperators. In contrast, exchanger which there is intermittent heat exchange between hot and cold fluid via thermal energy storage and release to the exchanger surface and matrix are referred to as indirect transfer type or simply regenerator.

    Such exchangers usually have a fluid leakage from one stream to another, due to pressure difference and matrix rotation/valve switching. Common examples of heat exchangers are shell and tube exchanger, automobile radiators, condensers, evaporator, air preheaters and cooling towers. If no phase change occurs in any of the fluid in the exchanger it is sometimes referred as a sensible heat exchanger. There could be internal thermal energy sources in the exchanger such as in the electrical heaters and nuclear fuel elements. Combustion and chemical reaction may takes place within the exchanger, such as in electrical heater and nuclear fuel elements. Combustion and chemical reaction may takes place within the exchanger such as in boilers, fire heaters and fluidized bed exchangers. Mechanical devices may be used in some exchangers, such as in scraped surface exchangers, agitated vessels and stirred tank reactors. Heat transfer in the separating wall of recuperator generally takes place by conduction. However, in a heat pipe heat exchanger the heat pipe is not only acts as a separating wall, but also facilitates

    the transfer of heat by condensation, evaporation and conduction of the working fluid inside the heat pipe. In general, if the fluids are immiscible, the separating wall may be eliminated, and the interface between the fluids replaces a heat transfer surface as in a direct contact heat exchanger.

  2. Data Collection

    In this paper data of shell & tube cross-counter flow heat exchanger is utilized for analysis. One experiment on shell & tube cross counter flow heat exchanger is performed at Rajkot in one chemical laboratory and data regarding various temperatures are obtained by increasing and decreasing the fluid flow consequently.

  3. Classification of Methods

    Choosing an appropriate mathematical model or class of models is as much an art as a science. There is no single approach that is best for all situations, but it is possible to lay down some general guidelines.The performance analysis of different cross flow heat exchanger starts from[1],the performance analysis is also carried out by computational model[2], for the detailed design of finned coil has been developed. This programme discretises heat exchangers into tube elements for which the governing equations are solved using local values of temperature, pressure, physical properties and heat transfer coefficients, Innovative way [3]of analyzing the the heat exchanger is by testing of different refrigerant through dynamic simulation of mathematical model of evaporator and condenser in refrigeration.The author proposed a mathematical model of an evaporator based on one-dimension partial differential equations representing mass conservation, and tube wall energy has been formulated. There are some methods [4], for increasing shell-and-tube exchanger performance. The methods consider whether the exchanger is performing correctly to begin with, excess pressure drop capacity in existing exchangers, the re-evaluation of fouling factors and their effect on exchanger calculations, and the use of augmented surfaces and enhanced heat transfer. [7], Counter flow heat exchangers are commonly used in cryogenic systems because of their high effectiveness. In addition to operating and design parameters, the thermal performance of these heat exchangers is strongly governed by various losses such as longitudinal conduction through wall, heat in leak from

    surrounding, flow misdistribution etc. the numerical model developed earlier is extended to take into consideration the effect of heat in sink and the predictions are compared with the experimental results. The study is further extended to understand quantitative effect of heat in leak and axial conduction parameters on degradation of heat exchanger performance for 300-

    80 k and 80-20 k temperature range. A new approach[8],for thermal performance calculation of cross flow heat exchanger Effectiveness-number of transfer units (-NTU) data for several standard and complex flow arrangements are obtained using this methodology. The results are validated through comparisons with analytical solutions for one pass cross-flow heat exchanger with one to four rows and with approximate series solution for an unmixed heat exchanger obtained in all cases very small errors.

    New effectiveness data for some complex configurations are provided. -NTUcomputation with a mathematical model for cross flow heat exchanger [10], Describes in the field of Performance evaluation of staggered cross flow heat exchanger under air dust mixture. Performance evaluation of cross flow heat exhanger is also done by [11] ,[12] & ,[13] using MATLAB. Heat exchanger performance is also analyzed by optimization by [14] & [15].Behaviour of cross flow heat exchanger is also analyzed by solid works and FEA [16]. Now the latest analytical technique is performance analysis is computational fluid dynamics (CFD) is utilized by [17].

  4. -NTU Method

    A new numerical methodology [10] for thermal performance calculation in cross-flow heat exchangers is developed. Effectiveness-number of transfer units (- NTU) data for several standard and complex flow arrangements are obtained using this methodology. In this paper performance analysis is carried out by changing the various parameters(1)By increasing the cold fluid flow rate (2) By decreasing the cold fluid flow rate (3) By increasing the hot fluid flow rate(4) By decreasing the hot fluid flow rate(5) By changing the direction of fluid(parallel flow instead of counter flow)

  5. Mathematical model

    The main aim of the present study is to find out the maximum performance for cross counter flow heat exchanger by varying the various parameters. A method based on -NTU approach is utilized for the

    analysis of heat exchanger performance. For that the data of shell & tube cross-counter flow heat exchanger is used. One experiment on cross counter flow shell & tube heat exchanger is performed in laboratory and data of four different temperatures of hot and cold fluid is obtained by changing the various parameters. Here one mathematical model [18] is also utilized for calculation of effectiveness of heatexchanger. The final equation of mathematical model of effectiveness of cross- counter flow heat exchanger

    =

  6. Result & Discussion

    The -NTU Method is widely used technique to analyze the performance of cross flow heat exchanger. Here the observation table is presented. Without changer in any parameter the effectiveness of the cross- counter flow heat exchanger is 42.85%

    10 to 90%

    Table:-2

    OBSERVATION TABLE

    S

    r. N

    o.

    Percenta ge(%) Increase in Cold Fluid Flow rate

    Cold fluid flow in (Kg/s)

    Overall Heat Transfer Co- efficient (U)

    W/m2°C

    NTU

    (No. of Transfer unit)

    Effectivn ess

    (%)

    Percenta ge decrease in Effectivn ess (%)

    1

    10%

    0.318

    67.13

    0.5856

    39.95

    6.72

    2

    20%

    0.356

    62.21

    0.5133

    36.04

    15.85

    3

    30%

    0.0407

    54.49

    0.5126

    35.44

    17.25

    4

    40%

    0.0476

    47.85

    0.3947

    28.87

    32.59

    5

    50%

    0.0572

    40.56

    0.0715

    6.84

    84.00

    6

    60%

    0.0712

    33.34

    0.0565

    5.37

    87.46

    7

    70%

    0.952

    25.11

    0.0396

    3.83

    91.05

    8

    80%

    0.142

    17.01

    0.0251

    2.45

    94.27

    9

    90%

    0.282

    7.58

    0.0107

    1.06

    97.52

    Table:-1

    OBSERVATION TABLE FOR SHELL AND TUBE HEAT EXCHANGER

    Sr No.

    Hot Water

    Cold Water

    Time for 10Lt of water( minute

    )

    Inlet temp (Thi)

    Outle temp (Th0)

    Time for

    10 lt of water (minute)

    Inlet temp (Tci)

    Outlet temp (Tco)

    1

    3 min.

    40

    38.22

    5.24

    26

    31.6

    2

    3 min.

    40

    38.41

    4.67

    26

    31.05

    3

    3 min.

    40

    38.63

    4.09

    26

    30.48

    4

    3 min.

    40

    38.85

    3.5

    26

    30.05

    5

    3 min.

    40

    39.05

    2.91

    26

    29.5

    6

    3 min.

    40

    39.24

    2.34

    26

    28.96

    7

    3 min.

    40

    39.46

    1.75

    26

    28.44

    8

    3 min.

    40

    39.65

    1.17

    26

    27.93

    9

    3 min.

    40

    39.85

    0.59

    26

    27.44

    OBSERVATION TABLE FOR SHELL AND TUBE HEAT EXCHANGER

    Sr No.

    Hot Water

    Cold Water

    Time for 10Lt of water( minute

    )

    Inlet temp (Thi)

    Outle temp (Th0)

    Time for

    10 lt of water (minute)

    Inlet temp (Tci)

    Outlet temp (Tco)

    1

    3 min.

    40

    38.22

    5.24

    26

    31.6

    2

    3 min.

    40

    38.41

    4.67

    26

    31.05

    3

    3 min.

    40

    38.63

    4.09

    26

    30.48

    4

    3 min.

    40

    38.85

    3.5

    26

    30.05

    5

    3 min.

    40

    39.05

    2.91

    26

    29.5

    6

    3 min.

    40

    39.24

    2.34

    26

    28.96

    7

    3 min.

    40

    39.46

    1.75

    26

    28.44

    8

    3 min.

    40

    39.65

    1.17

    26

    27.93

    9

    3 min.

    40

    39.85

    0.59

    26

    27.44

    2nd

    by 10 to 80%

    Table:-3

    3 min.

    OBSERVATION TABLE FOR SHELL AND TUBE HEAT EXCHANGER

    Sr No.

    Hot Water

    Cold Water

    Time for 10Lt of water( minute

    )

    Inlet temp (Thi)

    Outle temp (Th0)

    Time for 10lt of water (minute)

    Inlet temp (Tci)

    Outlet temp (Tco)

    1

    3 min.

    40

    38.38

    6.41

    26

    32.32

    2

    40

    38.58

    6.69

    26

    32.58

    3

    3 min.

    40

    38.77

    7.57

    26

    32.66

    4

    3 min.

    40

    38.95

    8.16

    26

    32.90

    5

    3 min.

    40

    39.12

    8.74

    26

    33.13

    6

    3 min.

    40

    39.31

    9.32

    26

    33.38

    7

    3 min.

    40

    39.56

    9.92

    26

    33.65

    8

    3 min.

    40

    39.78

    10.49

    26

    33.92

    OBSERVATION TABLE FOR SHELL AND TUBE HEAT EXCHANGER

    Sr No.

    Hot Water

    Cold Water

    Time for 10Lt of water( minute

    )

    Inlet temp (Thi)

    Outle temp (Th0)

    Time for 10lt of water (minute)

    Inlet temp (Tci)

    Outlet temp (Tco)

    1

    3 min.

    40

    38.38

    6.41

    26

    32.32

    2

    3 min.

    40

    38.58

    6.69

    26

    32.58

    3

    3 min.

    40

    38.77

    7.57

    26

    32.66

    4

    3 min.

    40

    38.95

    8.16

    26

    32.90

    5

    3 min.

    40

    39.12

    8.74

    26

    33.13

    6

    3 min.

    40

    39.31

    9.32

    26

    33.38

    7

    3 min.

    40

    39.56

    9.92

    26

    33.65

    8

    3 min.

    40

    39.78

    10.49

    26

    33.92

    Table:-4

    OBSERVATION TABLE

    Overall

    Percent

    Heat

    S

    r. N

    o.

    age(%) Increas e in

    Cold Fluid

    Cold fluid flow in (Kg/s)

    Transfe r

    Co- efficient (U)

    NTU

    (No. of Transfe r

    unit)

    Effectiv ness (%)

    Percentage increase in Effectivenes s (%)

    Flow

    W/m2°

    C

    1

    10%

    0.0260

    63.42

    0.6825

    45.14

    5.07

    2

    20%

    0.0249

    58.31

    0.6962

    45.91

    7.14

    3

    30%

    0.0220

    51.96

    0.7234

    47.56

    10.99

    4

    40%

    0.0202

    49.28

    0.7538

    49.28

    15.00

    5

    50%

    0.0190

    41.47

    0.7909

    50.92

    18.83

    6

    60%

    0.0178

    32.38

    0.8296

    52.70

    22.98

    7

    70%

    0.0168

    23.18

    0.8744

    54.64

    27.51

    8

    80%

    0.0158

    7.16

    0.9201

    56.57

    32.01

    Table:-5

    Table:-6

    OBSERVATION TABLE

    S

    r. N

    o

    .

    Percen tage(

    %)

    Increa se in hot Fluid Flow

    Hot fluid flow in (Kg/s)

    Overall Heat Transfe r

    Co- efficient (U)

    W/m2° C

    NTU

    (No. of Transfe r

    unit)

    Effectivn ess

    (%)

    Percent age increas e in/Decr ease Effectiv ness (%)

    1

    10%

    0.0617

    67.76

    0.6266

    39.25

    8.35(d

    ec.)

    2

    20%

    0.0680

    68.46

    0.5747

    40.56

    5.30(d

    ec.)

    3

    30%

    0.0747

    68.85

    0.5843

    41.31

    3.54(d

    ec.)

    4

    40%

    0.0833

    58.29

    0.6139

    43.06

    0.053

    7(dec.

    )

    5

    50%

    0.0915

    65.88

    0.6368

    44.41

    3.68(d

    ec.)

    6

    60%

    0.0920

    58.32

    0.6654

    45.78

    6.88(d

    ec.)

    OBSERVATION TABLE FOR SHELL AND TUBE HEAT EXCHANGER

    Sr No.

    Hot Water

    Cold Water

    Time for 10Lt of water(min ute)

    Inlet tem p (Th

    o)

    Outlet mp. (Th0)

    Time for 10lt of water (minute

    )

    Inlet temp( Tci)

    Outlet temp (Tco)

    1

    2.7 min.

    40

    38.20

    5.83

    26

    31.50

    2

    2.45 min.

    40

    38.36

    5.83

    26

    31.68

    3

    2.23 min.

    40

    38.54

    5.83

    26

    31.86

    4

    2.0 min.

    40

    38.78

    5.83

    26

    32.03

    5

    1.82 min.

    40

    38.96

    5.83

    26

    32.22

    6

    1.68 min.

    40

    39.16

    5.83

    26

    32.41

    Table:-7

    OBSERVATION TABLE FOR SHELL AND TUBE HEAT EXCHANGER

    Sr N

    o.

    Hot Water

    Cold Water

    Time for

    10Lt of water(min ute)

    Inlet temp (Thi)

    Outle temp (Tho)

    Time for 10lt of water (minute)

    Inlet temp (Tci)

    Outlet temp (Tco)

    1

    3.25

    40

    37.82

    5.83

    26

    32.20

    2

    3.42

    40

    37.63

    5.83

    26

    32.38

    3

    4.00

    40

    37.44

    5.83

    26

    32.58

    4

    4.21

    40

    37.25

    5.83

    26

    32.76

    5

    4.39

    40

    37.10

    5.83

    26

    32.93

    6

    4.56

    40

    36.91

    5.83

    26

    33.09

    7

    5.22

    40

    36.72

    5.83

    26

    33.28

    8

    5.40

    40

    36.53

    5.83

    26

    33.44

    9

    5.58

    40

    36.34

    5.83

    26

    33.59

    Table:-8

    OBSERVATION TABLE

    S

    r

    . N

    o

    .

    Perce ntage (%)

    Decre ase in hot Fluid Flow rate

    Hot fluid flow rate in (Kg/s)

    Overall Heat Transfe r

    Co- efficient (U)

    W/m2° C

    NTU

    (No. of Transfer unit)

    Effectiv eness (%)

    Percentag e

    increase in Effectiven ess (%)

    1

    10%

    0.0512

    75.44

    0.6808

    44.28

    2.33

    2

    20%

    0.0487

    79.31

    0.7008

    44.84

    4.33

    3

    30%

    0.0416

    78.67

    07818

    46.96

    8.75

    4

    40%

    0.0395

    82.09

    0.8036

    48.61

    11.84

    5

    50%

    0.0379

    85.52

    0.8778

    49.50

    13.43

    6

    60%

    0.0365

    83.97

    0.9254

    50.63

    15.36

    7

    70%

    0.0319

    88.19

    1.024

    51.95

    17.51

    8

    80%

    0.0308

    92.04

    1.080

    52.90

    18.99

    9

    90%

    0.0298

    95.74

    1.152

    54.13

    20.83

    Table:-9

    S

    r. N

    o.

    Effectiv ness for counter flow (%)

    Effectivness for parallel flow

    (%)

    Overall Heat Transfer Co- efficient (U)

    W/m2°C

    NTU

    (No. of Transfer unit)

    Percentage decrease in Effectivnes s (%)

    1

    42.85

    40.95

    27.22

    0.6388

    4.43

    Discussion:-

    1st case:-Increase in the cold fluid flow rate by 10% to 90% we observe that the effectiveness and also NTU will decrease slowly up to 40% and then very fast from 50% to 90%

    2nd case:- Decrease in the cold fluid flow rate by

    10% to 80% we observe that the effectiveness and also NTU increases continuously.

    3rd case:- Increase in the hot fluid flow rate by 10% to 60% we observe that NTU and effectiveness first decreases and then increases gradually.

    4th case:- Decrease in the hot fluid flow rate by 10%

    to 90% we observe that NTU and effectiveness both increases gradually and we obtain the maximum effective by decreasing the hot fluid flow by 90% we get 54.13% effectiveness.

    5th case:- By changing the direction of fluid

    flow(Using parallel flow instead of counter flow arrangement) and keeping the NTU constant the effectiveness will decrease by 4.43%

    Above results are explained by Graphs of

    vs.NTU for all the five cases.

  7. Conclusion:-

    From all above five cases it is concluded that we get the maximum performance (effectiveness) by decreasing the hot fluid flow and keep the cold fluid flow constant for this particular heat exchanger.

  8. References

  1. R. K. Shah & D. P. Sekulic, Fundamentals of Heat Exchanger Design, John Wiley & Sons,Inc.,Hoboken,New Jersey, 6 Nov, 2007.

  2. Stevens, R.A., Fernandez, J., and Woolf, J.R., Mean Temperature Difference in One, Two and Three-pass Cross flow Heat Exchangers, Transactions ASME, 79, 287,1957.

  3. Rich, D.G., The Effect of the Number of Tube Rows on Heat Transfer Performance of Smooth Plate Fin-and- tube Heat Exchangers, ASHRAE Transactions, 308,1973.

  4. Pignotti.a. and Cordero,G.O.,Mean temperature difference difference in multipass cross flow,ASME journal of heat transfer,vol.105, pp. 592-597,1983.

  5. Pignotti.A,LinearMatrix operator Formalism for basic heat exchanger thermal design, ASMEjournal of heat transfer,vol.110,pp. 297-303,1988.

  6. Baclic,B.S.,-NTU analysis of complicated flow arrangements.In:R.K.Shah,A.D.Kraus,and.Metzger(edit ors)compactHeatExchagers.HemispherePublishing,Ne wYork,pp.3clic1-1990.

  7. Domanski, P.A., Simulation of an Evaporator with Non-uniform One-dimensional Air Distribution, ASHRAE Transactions, 97, No. 1, 793, 1991.

  8. ESDU 86018, Effectiveness-NTU Relations for the Design and Performance Evaluation of Two-stream Heat Exchangers, Engineering Science Data Unit 86018 with amendment, July, ESDU International plc, London, 92

    ,1991.

  9. Pignotti.A and Shah,R.K.,Effectivness-number of transfer units relationships for heat exchanger complex

    flow arrangements, International Journal of Heat and Mass Transfer, Vol.35, pp.1275-1291, 1992.

  10. Bensafi, A., Borg, S., and Parent, D., CYRANO A Computational Model for the Detailed Design of Plate- fin-and-tube Heat Exchangers Using Pure and Mixed Refrigerants, International Journal of Refrigeration, 20, No. 3, 218, 1997.

  11. Vardhan, A. and Dhar, P.L., A New Procedure for Performance Prediction of Air Conditioning Coils, International Journal of Refrigeration, 21, No. 1, 77,1998.

  12. Bansal, P.K. and Purkayastha, B., An NTU- Model for Alternative Refrigerants, International Journal of Refrigeration, 21, No. 5, 381, 1998.

  13. Corberán, J.M. and Melon, M.G., Modeling of Plate Finned Tube Evaporators and Condensers Working with R134a, International Journal of Refrigeration, 21, No. 4, 273, 1998.

  14. Jang, J.-Y., Lai, J.-T., and Liu, L.-C., The Thermal- hydraulic Characteristics of Staggered Circular Finned- tube Heat Exchangers under Dry and Dehumidifying Conditions, International Journal of Heat and Mass Transfer, 41, 3321, 1998.

  15. Kays, W.M. and London, A.L., Compact Heat Exchangers, Third Ed., McGraw Hill, New York, 1998.

  16. Navarro, H.A. and Cabezas-Gomez, L., A New Approach for Thermal Performance Calculation of Cross-flow Heat Exchangers, International Journal Heat Mass Transfer, 48, 3880, 2005.

  17. Shah, R.K. and Pignotti, A., Thermal analysis of complex cross flow exchangers in terms of standard configurations", ASME Journal of Heat Transfer, Vol. 115, pp. 353-359, 1993.

  18. D. S. Kumar, D.P., Heat and Mass Transfer, seventh Ed., S. K. Kataria & Sons, New Delhi, 2007-2008.

PARMAR KALPESH D. earned his B.E. in Mechanical Engineering from Saurashtra University and Pursuing M.E. in echanical (Thermal Engineering) Engineering from

Rajiv Gandhi Prodyogiki Vishavidyalaya, Bhopal. He has 8 years field experience, 3.5 years teaching experience and currently he is Assistant Professor in Dr. Subhash Technical Campus, Junagadh, (Gujarat), and INDIA.

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