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Research Papers: Heat Transfer Enhancement

Optimization of Pin-Fins for a Heat Exchanger by Entropy Generation Minimization and Constructal Law

[+] Author and Article Information
Gongnan Xie

Engineering Simulation
and Aerospace Computing (ESAC),
School of Mechanical Engineering,
Northwestern Polytechnical University,
P.O. Box 552,
Xi'an 710072, Shaanxi, China
e-mail: xgn@nwpu.edu.cn

Yidan Song

Engineering Simulation
and Aerospace Computing (ESAC),
School of Mechanical Engineering,
Northwestern Polytechnical University,
P.O. Box 552,
Xi'an 710072, Shaanxi, China

Masoud Asadi

Department of Mechanical Engineering,
Azad Islamic University Science and
Research Branch,
Tehran 1615918683, Iran
e-mail: masoud2471@gmail.com

Giulio Lorenzini

Full Professor
Department of Industrial Engineering,
University of Parma,
Parco Area delle Scienze, 181A,
Parma 43124, Italy

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received March 22, 2014; final manuscript received June 25, 2014; published online March 17, 2015. Assoc. Editor: Cesare Biserni.

J. Heat Transfer 137(6), 061901 (Jun 01, 2015) (9 pages) Paper No: HT-14-1145; doi: 10.1115/1.4029851 History: Received March 22, 2014; Revised June 25, 2014; Online March 17, 2015

Pin-fins are considered as one of the best elements for heat transfer enhancement in heat exchangers. In this study, the topology of pin-fins (length, diameter, and shape) is optimized based on the entropy generation minimization (EGM) theory coupled with the constructal law (CL). Such pin-fins are employed in a heat exchanger in a sensible thermal energy storage (TES) system so as to enhance the rate of heat transfer. First, the EGM method is used to obtain the optimal length of pin-fins, and then the CL is applied to get the optimal diameter and shape of pin-fins. Reliable computational fluid dynamics (CFD) simulations of various constructal pin-fin models are performed, and detailed flow and heat transfer characteristics are presented. The results show that by using the proposed system with optimized pin-fin heat exchanger the stored thermal energy can be increased by 10.2%.

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References

Bejan, A., 1982, Entropy Generation Through Heat and Fluid Flow, Wiley, New York.
Bejan, A., 1996, Entropy Generation Minimization, CRC Press, Boca Raton, FL.
Saffaripour, P. M., and Culham, R., 2010, “Measurement of Entropy Generation in Microscale Thermal-Fluid Systems,” ASME J. Heat Transfer, 132(12), p. 121401. [CrossRef]
Li, J., and Kleinstreuer, C., 2010, “Entropy Generation Analysis for Nanofluid Flow in Microchannels,” ASME J. Heat Transfer, 132(12), p. 122401. [CrossRef]
Mahian, O., Mahmud, S., and Heris, S. Z., 2012, “Effect of Uncertainties in Physical Properties on Entropy Generation Between Two Rotating Cylinders With Nanofluids,” ASME J. Heat Transfer, 134(10), p. 101704. [CrossRef]
Arikoglu, A., Komurgoz, G., Ozkol, I., and Gunes, A. Y., 2010, “Combined Effects of Temperature and Velocity Jump on the Heat Transfer, Fluid Flow, and Entropy Generation Over a Single Rotating Disk,” ASME J. Heat Transfer, 132(11), p. 111703. [CrossRef]
Bright, T. J., and Zhang, Z. M., 2010, “Entropy Generation in Thin Films Evaluated From Phonon Radiative Transport,” ASME J. Heat Transfer, 132(10), p. 101301. [CrossRef]
Bi, Y., Guo, T., Zhang, L., Chen, L., and Sun, F., 2010, “Entropy Generation Minimization for Charging and Discharging Processes in a Gas-Hydrate Cool Storage System,” Appl. Energy, 87(4), pp. 1149–1157. [CrossRef]
Ramakrishna, D., Basak, T., and Roy, S., 2013, “Analysis of Heatlines and Entropy Generation During Free Convection Within Trapezoidal Cavities,” Int. Commun. Heat Mass Transfer, 45, pp. 32–40. [CrossRef]
Cheng, X., 2013, “Entropy Resistance Minimization: An Alternative Method for Heat Exchanger Analyses,” Energy, 58, pp. 672–678. [CrossRef]
Giangaspero, G., and Sciubba, E., 2013, “Application of the Entropy Generation Minimization Method to a Solar Heat Exchanger: A Pseudo-Optimization Design Process Based on the Analysis of the Local Entropy Generation Maps,” Energy, 58, pp. 52–65. [CrossRef]
Li, M., and Lai, C. K., 2013, “Thermodynamic Optimization of Ground Heat Exchangers With Single U-Tube by Entropy Generation Minimization Method,” Energy Conversion and Management, 65, pp. 133–139. [CrossRef]
Bejan, A., and Lorente, S., 2008, Design With Constructal Theory, Wiley, New York.
Bejan, A., 2000, Shape and Structure, From Engineering to Nature, Cambridge University Press, Cambridge, UK.
Bejan, A., and Lorente, S., 2011, “The Constructal Law and the Evolution of Design in Nature,” Phys. Life Rev., 8(3), pp. 209–240. [CrossRef] [PubMed]
Reis, A. H., 2006, “Constructal Theory: From Engineering to Physics, and How Flow Systems Develop Shape and Structure,” ASME Appl. Mech. Rev., 59(5), pp. 269–282. [CrossRef]
Kephart, J., and Jones, G. F., 2013, “Optimizing a Functionally Graded Metal–Matrix Heat Sink Through Growth of a Constructal Tree of Convective Fins,” ASME Heat Transfer Summer Conference, ASME Paper No. HT2013-17384. [CrossRef]
Miguel, A. F., 2008, “Constructal Design of Solar Energy-Based Systems for Buildings,” Energy Build., 40(6), pp. 1020–1030. [CrossRef]
Xia, L., Lorente, S., and Bejan, A., 2011, “Constructal Design of Distributed Cooling on the Landscape,” Int. J. Energy Res., 35(9), pp. 805–812. [CrossRef]
Ordonez, J. C., Chen, S., Vargas, J. V. C., Dias, F. G., Gardolinski, J. E. F. C., and Vlassov, D., 2007, “Constructal Flow Structure for a Single SOFC,” Int. J. Energy Res., 31(14), pp. 1337–1357. [CrossRef]
Lorenzini, G., and Rocha, L. A. O., 2009, “Constructal Design of T–Y Assembly of Fins for an Optimized Heat Removal,” Int. J. Heat Mass Transfer, 52(5–6), pp. 1458–1463. [CrossRef]
Bello-Ochende, T., Meyer, J. P., and Bejan, A., 2010, “Constructal Multi-Scale Pin-Fins,” Int. J. Heat Mass Transfer, 53(13–14), pp. 2773–2779. [CrossRef]
Lorenzini, G., Correa, R. L., dos Santos, E. D., and Rocha, L. A. O., 2011, “Constructal Design of Complex Assembly of Fins,” ASME J. Heat Transfer, 133(8), p. 081902. [CrossRef]
Norouzi, E., Mehrgoo, M., and Amidpour, M., 2012, “Geometric and Thermodynamic Optimization of a Heat Recovery Steam Generator: A Constructal Design,” ASME J. Heat Transfer, 134(11), p. 111801. [CrossRef]
Chen, L. G., Feng, H. J., Xie, Z. H., and Sun, F. R., 2013, “Constructal Optimization for Disc-Point Heat Conduction at Micro and Nanoscales,” Int. J. Heat Mass Transfer, 67, pp. 704–711. [CrossRef]
Rocha, L. A. O., Lorente, S., and Bejan, A., 2013, Constructal Law and the Unifying Principle of Design, Springer, New York.
Fluent Documentation, http://www.fluent.com
Rao, Y., Wan, C., and Xu, Y., 2012, “An Experimental Study of Pressure Loss and Heat Transfer in the Pin Fin-Dimple Channels With Various Dimple Depths,” Int. J. Heat Mass Transfer, 55(23–24), pp. 6723–6733. [CrossRef]
Lawson, S. A., Thrift, A. A., Thole, K. A., and Kohli, A., 2011, “Heat Transfer From Multiple Row Arrays of Low Aspect Ratio Pin Fins,” Int. J. Heat Mass Transfer, 54(17–18), pp. 4099–4109. [CrossRef]
Gumus, M., 2009, “Reducing Cold-Start Emission From Internal Combustion Engines by Means of Thermal Energy Storage System,” Appl. Therm. Eng., 29(4), pp. 652–660. [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]

Figures

Grahic Jump Location
Fig. 1

Schematic of TES system connected to the cooling system of the engine

Grahic Jump Location
Fig. 2

Two rows with unequal pin-fins

Grahic Jump Location
Fig. 3

A comparison between analytical results and CFD simulation for temperature distribution

Grahic Jump Location
Fig. 4

Global thermal resistance: (a) D1/D2 = 0.7, (b) D1/D2 = 0.8, (c) D1/D2 = 0.9, (d) D1/D2 = 1.0, and (e) D1/D2 = 1.1

Grahic Jump Location
Fig. 5

Streamlines for (a) D1/D2 = 1.1, S/W = 0.06, and H/D = 0.11; (b) D1/D2 = 1.1, S/W = 0.06, and H/D = 0.12; and (c) D1/D2 = 1.1, S/W = 0.06, and H/D = 0.13

Grahic Jump Location
Fig. 6

Streamlines for D1/D2 = 1.1, S/W = 0.06, and H/D = 0.12: (a) Re = 10; (b) Re = 50; (c) Re = 100; and (d) Re = 200

Grahic Jump Location
Fig. 7

Pressure contours for (a) D1/D2 = 1.1, S/W = 0.06, and H/D = 0.11; (b) D1/D2 = 1.1, S/W = 0.06, and H/D = 0.12; and (c) D1/D2 = 1.1, S/W = 0.06, and H/D = 0.13

Grahic Jump Location
Fig. 8

Effect of the spanwise spacing on the Nusselt number: (a) D1/D2 = 0.7, (b) D1/D2 = 0.8, (c) D1/D2 = 0.9, (d) D1/D2 = 1.0, and (e) D1/D2 = 1.1

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