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Research Papers: Heat Exchangers

The Second Law Analysis of Thermodynamics for the Plate–Fin Surface Performance in a Cross Flow Heat Exchanger

[+] Author and Article Information
Mansour Nasiri Khalaji, Isak Kotcioglu

Mechanical Engineering Department,
Engineering Faculty,
Atatürk University,
Erzurum 25240, Turkey

Sinan Caliskan

Mechanical Engineering Department,
Engineering Faculty,
Hitit University,
Corum 19030, Turkey

Ahmet Cansiz

Electrical Engineering Department,
Electrical-Electronics Faculty,
Istanbul Technical University,
Istanbul 34469, Turkey

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received March 15, 2018; final manuscript received September 12, 2018; published online October 8, 2018. Assoc. Editor: Guihua Tang.

J. Heat Transfer 141(1), 011801 (Oct 08, 2018) Paper No: HT-18-1149; doi: 10.1115/1.4041498 History: Received March 15, 2018; Revised September 12, 2018

In this paper, a particular heat exchanger is designed and analyzed by using second law of thermodynamics. The heat exchanger operates with the cross flow forced convection having cylindrical, square, and hexagonal pin fins (tubular router) placed in the rectangular duct. The pin fins are installed periodically at the top and bottom plates of the duct perpendicular to the flow direction, structured in-line, and staggered sheet layouts. The entropy generation in the flow domain of the channels is calculated to demonstrate the rate of irreversibilities. To obtain the efficiencies, irreversibility, thermal performance factor, and entropy generation number (EGN), the heat exchanger is operated at different temperatures and flow rates by using hot and cold fluids. Optimization of the design parameters and winglet geometry associated with the performance are determined by entropy generation minimization. The variation of the EGN with Reynolds number for various tubular routers is presented. The Reynolds number is determined according to the experimental plan and the performance is analyzed with the method of effectiveness—number of transfer unit (NTU). Based on particular designs, it was determined that the increment in fluid velocity enhances the heat transfer rate, which in turn decreases the heat transfer irreversibility.

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References

Taufiq, B. N. , Masjuki, H. H. , Mahlia, T. M. I. , Saidur, R. , Faizul, M. S. , and Niza Mohamad, E. , 2007, “ Second Law Analysis for Optimal Thermal Design of Radial Fin Geometry by Convection,” Appl. Therm. Eng., 27(8–9), pp. 1363–1370. [CrossRef]
Bejan, A. , 1977, “ The Concept of Irreversibility in Heat Exchanger Design: Counter Flow Heat Exchangers for Gas-to-Gas Applications,” ASME J. Heat Transfer, 99(3), pp. 374–380. [CrossRef]
Bejan, A. , 1978, “ General Criterion for Rating Heat Exchanger Performance,” Int. J. Heat Mass Transfer, 21(5), pp. 655–658. [CrossRef]
Bejan, A. , 1982, Entropy Generation Through Fluid Flow, Wiley, New York, pp. 98–134.
Bejan, A. , 2001, “ Thermodynamic Optimization of Geometry in Engineering Flow Systems,” Exergy Int. J., 1(4), pp. 269–277. [CrossRef]
London, A. L. , and Shah, R. K. , 1983, “ Cost of Irreversibilities in Heat Exchanger Design,” Heat Transfer Eng., 4(2), pp. 59–73. [CrossRef]
Witte, L. C. , and Shamsundar, N. , 1983, “ A Thermodynamic Efficiency Concept for Heat Exchanger Devices,” ASME J. Eng. Power, 105(1), pp. 199–203. [CrossRef]
Natalini, G. , and Sciubba, E. , 1999, “ Minimization of the Local Rates of Entropy Generation in the Design of Air-Cooled Gas Turbine Blades,” ASME J. Eng. Gas Turbines Power, 121(3), pp. 466–475. [CrossRef]
Sekulic, D. P. , and Herman, C. V. , 1986, “ One Approach to Irreversibility Minimization in Compact Cross Flow Heat Exchanger Design,” Int. Comm. Heat Mass Transfer, 13(1), pp. 23–32. [CrossRef]
Hesselgreaves, J. E. , 2000, “ Rationalization of Second Law of Heat Exchangers,” Int. J. Heat Mass Transfer, 43(22), pp. 4189–4204. [CrossRef]
Khan, W. A. , 2004, “ Modeling of Fluid Flow and Heat Transfer for Optimization of Pin-Fin Heat Sinks,” Doctorate thesis, Mechanical Engineering University of Waterloo, Waterloo, ON, Canada.
Kotcioglu, I. , Caliskan, S. , Cansiz, A. , and Baskaya, S. , 2010, “ Second Law Analysis and Heat Transfer in a Cross-Flow Heat Exchanger With a New Winglet-Type Vortex Generator,” Energy, 35(9), pp. 3686–3695. [CrossRef]
Kays, W. M. , and London, A. L. , 1964, Compact Heat Exchangers, 2nd ed., McGraw-Hill, New York.
Sparrow, E. M. , Ramsey, J. W. , and Altemani, C. A. C. , 1980, “ Experiments on in-Line Pin Fin Arrays and Performance Comparison With Staggered Arrays,” ASME J. Heat Transfer, 102(1), pp. 44–50. [CrossRef]
Kays, W. M. , and Crawford, M. E. , 1980, Convective Heat and Mass Transfer, 2nd ed., McGraw-Hill Book Company, New York, p. 238244.
Zhukauskas, A. , and Ulinskas, R. , 1985, “ Efficiency Parameters for Heat Transfer in Tube Banks,” Heat Transfer Eng., 6(1), pp. 19–25. [CrossRef]
Metzger, D. E. , Berry, R. A. , and Bronson, J. P. , 1982, “ Developing Heat Transfer in Rectangular Ducts With Staggered Arrays of Short Pin Fins,” ASME J. Heat Transfer, 104(4), pp. 700–706. [CrossRef]
Vanfossen, G. J. , 1982, “ Heat Transfer Coefficients for Staggered Arrays of Short Pin–Fins, Trans,” ASME J. Heat Transfer, 104(2), pp. 268–274.
Tahat, M. A. , Kodah, Z. H. , Jarrah, B. A. , and Probert, S. D. , 2000, “ Heat Transfer From Pin–Fin Arrays Experiencing Forced Convection,” Appl. Energy, 67(4), pp. 419–442. [CrossRef]
Wang, C. C. , Lee, C. J. , Chang, C. T. , and Lina, S. P. , 1999, “ Heat Transfer and Friction Correlation for Compact Louvered Fin-and-Tube Heat Exchangers,” Int. J. Heat Mass Transfer, 42(11), pp. 1945–1956. [CrossRef]
Tanda, G. , 2001, “ Heat Transfer and Pressure Drop in a Rectangular Channel With Diamond-Shaped Elements,” Int. J. Heat Mass Transfer, 44(18), pp. 3529–3541. [CrossRef]
Saha, A. K. , and Acharya, S. , 2004, “ Unsteady Flow and Heat Transfer in Parallel-Plate Heat Exchangers With in-Line and Staggered Arrays of Posts,” Numer. Heat Transfer, 46, pp. 731–763. [CrossRef]
Jeng, T. M. , and Tzeng, S. C. , 2007, “ Pressure Drop and Heat Transfer of Square Pin-Fin Arrays in in-Line and Staggered Arrangements,” Int. J. Heat Mass Transfer, 50(11–12), pp. 2364–2375. [CrossRef]
Rao, Y. , Wan, C. , Xu, Y. , and Zang, S. , 2011, “ Spatially-Resolved Heat Transfer Characteristics in Channels With Pin Fin and Pin Fin-Dimple Arrays,” Int. J. Therm. Sci., 50(11), pp. 2277–2289.
Joardar, A. , and Jacobi, A. M. , 2008, “ Heat Transfer Enhancement by Winglet-Type Vortex Generator Arrays in Compact Plain-Fin-and-Tube Heat Exchangers,” Int. J. Refrig., 31(1), pp. 87–97. [CrossRef]
Liu, M. , Liu, D. , Xu, S. , and Chen, Y. , 2011, “ Experimental Study on Liquid Flow and Heat Transfer in Micro Square Pin Fin Heat Sink,” Int. J. Heat Mass Transfer, 54(25–26), pp. 5602–5611. [CrossRef]
Al-Jamal, K. , and Khashashneh, H. , 1998, “ Experimental Investigation in Heat Transfer of Triangular and Pin Fin Arrays,” Heat Mass Transfer, 34(2–3), pp. 159–162. [CrossRef]
Zheng, N. , Liu, P. , Shan, F. , Liu, Z. , and Liu, W. , 2016, “ Effects of Rib Arrangements on the Flow Pattern and Heat Transfer in an Internally Ribbed Heat Exchanger Tube,” Int. J. Therm. Sci., 101, pp. 93–105. [CrossRef]
Ge, Y. , Liu, Z. , and Liu, W. , 2016, “ Multi-Objective Genetic Optimization of the Heat Transfer for Tube Inserted With Porous Media,” Int. J. Heat Mass Transfer, 101, pp. 981–987. [CrossRef]
Wang, X. , Zheng, N. , Liu, Z. , and Liu, W. , 2018, “ Numerical Analysis and Optimization Study on Shell-Side Performances of a Shell and Tube Heat Exchanger With Staggered Baffles,” Int. J. Heat Mass Transfer, 124, pp. 247–259. [CrossRef]
Kotcioglu, I. , Khalaji, M. N. , and Cansiz, A. , 2018, “ Heat Transfer Analysis of a Rectangular Channel Having Cylindrical Router in Different Winglet Configurations With Taguchi Method,” Appl. Therm. Eng., 132, pp. 637–650. [CrossRef]
Burck, E. , 1969, “ Der Einfluß Der Prandtl-Zahl Auf Den Wärmeuübergang Und Druckverlust Künstlich Aufgerauhter Strömungskanäle-The Influence of the Prandtl Number on the Heat Transfer and Pressure Loss of Artificially Roughened Flow Channels,” Wärme-Stoffübertrag-Heat Mass Transfer, 2(2), pp. 87–98. [CrossRef]
Ogulata, R. T. , and Doba, F. , 1998, “ Experiments and Entropy Generation Minimization Analysis of a Cross-Flow Heat Exchanger,” Int. J. Heat Mass Transfer, 41(2), pp. 373–381. [CrossRef]
Kline, S. J. , and McClintock, F. A. , 1953, “ Describing Uncertainties in Single Sample Experiments,” Mech. Eng., 75(1), pp. 3–8.

Figures

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Fig. 1

(a) Schematic diagram of the test section of the cross flow heat exchanger, (b) in-line, and (c) staggered sheet layout of the upper and lower plates in the heat exchanger

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Fig. 2

Various tubular routers (heat receivers): (a) cylindrical winglet, (b) square without winglet, (c) cylindrical without winglet, (d) hexagonal winglet, (e) square winglet, and (f)hexagonal without winglet

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Fig. 3

Variation of minimum EGN as a function of dimensionless heat transfer area: (a) winglet in-line, (b) winglet staggered, (c) without winglet in-line, and (d) without winglet staggered

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Fig. 4

Variation of optimum dimensionless mass velocity as a function of dimensionless heat transfer area: (a) winglet in-line, (b) winglet staggered, (c) without winglet in-line, and (d) without winglet staggered

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Fig. 5

Variation of optimum flow path length as a function of dimensionless mass velocity: (a) winglet in-line, (b) winglet staggered, (c) without winglet in-line, and (d) without winglet staggered

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Fig. 6

Variation of minimum EGN as a function of optimum flow path: (a) winglet in-line, (b) winglet staggered, (c) without winglet in-line, and (d) without winglet staggered

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Fig. 7

Variation of minimum EGN as a function of optimum dimensionless mass velocity: (a) winglet in-line, (b) winglet staggered, (c) without winglet in-line, and (d) without winglet staggered

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Fig. 8

Entropy generation number (vertical axis) as a function of Re number (horizontal axis) for different fin array

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Fig. 9

ε-NTU variation in tubular routers for the case of staggered sheet layout (logarithmic fit)

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