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Research Papers: Porous Media

Heat Transfer and Entropy Generation Analyses of Forced Convection Through Porous Media Using Pore Scale Modeling

[+] Author and Article Information
Mehrdad Torabi

Young Researchers and Elite Club,
Central Tehran Branch,
Islamic Azad University,
Tehran, Iran

Mohsen Torabi

The George W. Woodruff School
of Mechanical Engineering,
Georgia Institute of Technology,
Atlanta, GA 30332
e-mails: Mohsen.Torabi@my.cityu.edu.hk;
Mohsen.Torabi@gatech.edu

G. P. Peterson

The George W. Woodruff School
of Mechanical Engineering,
Georgia Institute of Technology,
Atlanta, GA 30332
e-mail: Bud.Peterson@gatech.edu

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 22, 2016; final manuscript received July 5, 2016; published online August 30, 2016. Assoc. Editor: Dr. Antonio Barletta.

J. Heat Transfer 139(1), 012601 (Aug 30, 2016) (10 pages) Paper No: HT-16-1291; doi: 10.1115/1.4034181 History: Received May 22, 2016; Revised July 05, 2016

The objective of the current investigation is to investigate the entropy generation inside porous media utilizing a pore scale modeling approach. The current investigation improves the thermodynamics performance of the recent analysis (Int. J. Heat Mass Transfer, 2016, 99, pp. 303–316) by considering different cross-sectional configurations and analyzing the thermal system for various Reynolds numbers, porosities, and a comparison between the previous and current investigation. The Nusselt number, the dimensionless volume-averaged entropy generation rate, Bejan number, and performance evaluation criterion (PEC) are all presented and discussed. The dimensionless volume-averaged entropy generation rate was found to increase with increasing Reynolds number, with the increase being higher for lower porosity medium. A slight variation of the dimensionless volume-averaged entropy generation rate is observed for higher Reynolds numbers which is confirmed for both cross-sectional configurations. Examination of the Bejan number demonstrates heat transfer irreversibility (HTI) dominance for most of the Reynolds number ranges examined. The results indicate that the longitudinal elliptical cross-sectional configuration with porosity equals to 0.53 provides superior performance when applying the performance evaluation criterion utilized.

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References

Nield, D. A. , and Bejan, A. , 2006, Convection in Porous Media, Springer, New York.
Vafai, K. , and Tien, C. L. , 1981, “ Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media,” Int. J. Heat Mass Transfer, 24(2), pp. 195–203. [CrossRef]
Armaghani, T. , Chamkha, A. J. , Maghrebi, M. J. , and Nazari, M. , 2014, “ Numerical Analysis of a Nanofluid Forced Convection in a Porous Channel: A New Heat Flux Model in LTNE Condition,” J. Porous Media, 17(7), pp. 637–646. [CrossRef]
Torabi, M. , Karimi, N. , and Zhang, K. , 2015, “ Heat Transfer and Second Law Analyses of Forced Convection in a Channel Partially Filled by Porous Media and Featuring Internal Heat Sources,” Energy, 93(Part 1), pp. 106–127. [CrossRef]
Selimefendigil, F. , and Öztop, H. F. , 2015, “ Natural Convection and Entropy Generation of Nanofluid Filled Cavity Having Different Shaped Obstacles Under the Influence of Magnetic Field and Internal Heat Generation,” J. Taiwan Inst. Chem. E, 56, pp. 42–56. [CrossRef]
Bejan, A. , 1982, Entropy Generation through Heat and Fluid Flow, Wiley, New York.
Torabi, M. , and Zhang, K. , 2015, “ Temperature Distribution, Local and Total Entropy Generation Analyses in MHD Porous Channels With Thick Walls,” Energy, 87, pp. 540–54. [CrossRef]
Ismael, M. A. , Armaghani, T. , and Chamkha, A. J. , 2016, “ Conjugate Heat Transfer and Entropy Generation in a Cavity Filled With a Nanofluid-Saturated Porous Media and Heated by a Triangular Solid,” J. Taiwan Inst. Chem. E, 59, pp. 138–151. [CrossRef]
Bejan, A. , 2001, “ Thermodynamic Optimization of Geometry in Engineering Flow Systems,” Exergy Int. J., 1(4), pp. 269–277. [CrossRef]
Fersadou, I. , Kahalerras, H. , and Ganaoui, M. E. , 2015, “ MHD Mixed Convection and Entropy Generation of a Nanofluid in a Vertical Porous Channel,” Comput. Fluids, 121, pp. 164–179. [CrossRef]
Aziz, A. , 2006, “ Entropy Generation in Pressure Gradient Assisted Couette Flow With Different Thermal Boundary Conditions,” Entropy, 8(2), pp. 50–62. [CrossRef]
Drost, M. K. , and White, M. D. , 1991, “ Numerical Predictions of Local Entropy Generation in an Impinging Jet,” ASME J. Heat Transfer, 113(4), pp. 823–829. [CrossRef]
Makinde, O. D. , 2008, “ Entropy-Generation Analysis for Variable-Viscosity Channel Flow With Non-Uniform Wall Temperature,” Appl. Energy, 85(5), pp. 384–393. [CrossRef]
Torabi, M. , Zhang, K. , and Shohel, M. , 2015, “ Temperature and Entropy Generation Analyses Between and Inside Rotating Cylinders Using Copper–Water Nanofluid,” ASME J. Heat Transfer, 137(5), p. 051701. [CrossRef]
Shojaeian, M. , Yildiz, M. , and Koşar, A. , 2015, “ Convective Heat Transfer and Second Law Analysis of Non-Newtonian Fluid Flows With Variable Thermophysical Properties in Circular Channels,” Int. Commun Heat Mass Transfer, 60, pp. 21–31. [CrossRef]
Mahmud, S. , and Fraser, R. A. , 2003, “ The Second Law Analysis in Fundamental Convective Heat Transfer Problems,” Int. J. Therm. Sci., 42(2), pp. 177–186. [CrossRef]
Baytas, A. C. , and Baytas, A. R. , 2005, Entropy Generation in Porous Media in Transport Phenomena in Porous Media, Vol. III, Elsevier, Amsterdam, The Netherlands.
Morosuk, T. V. , 2005, “ Entropy Generation in Conduits Filled With Porous Medium Totally and Partially,” Int. J. Heat Mass Transfer, 48(12), pp. 2548–2560. [CrossRef]
Li, C. , Zheng, L. , Zhang, X. , and Chen, G. , 2016, “ Flow and Heat Transfer of a Generalized Maxwell Fluid With Modified Fractional Fourier's Law and Darcy's Law,” Comput. Fluids, 125, pp. 25–38. [CrossRef]
Betchen, L. J. , and Straatman, A. G. , 2008, “ The Development of a Volume-Averaged Entropy-Generation Function for Nonequilibrium Heat Transfer in High-Conductivity Porous Foams,” Numer. Heat Transfer B, 53(5), pp. 412–436. [CrossRef]
Mahmud, S. , Fraser, R. A. , and Pop, I. , 2007, “ Flow, Thermal, Energy Transfer, and Entropy Generation Characteristics Inside Wavy Enclosures Filled With Microstructures,” ASME J. Heat Transfer, 129(11), pp. 1564–1575. [CrossRef]
Mahdavi, M. , Saffar-Avval, M. , Tiari, S. , and Mansoori, Z. , 2014, “ Entropy Generation and Heat Transfer Numerical Analysis in Pipes Partially Filled With Porous Medium,” Int. J. Heat Mass Transfer, 79, pp. 496–506. [CrossRef]
Torabi, M. , Peterson, G. P. , Torabi, M. , and Karimi, N. , 2016, “ A Thermodynamic Analysis of Forced Convection Through Porous Media Using Pore Scale Modeling,” Int. J. Heat Mass Transfer, 99, pp. 303–316. [CrossRef]
Gamrat, G. , Favre-Marinet, M. , and Le Person, S. , 2008, “ Numerical Study of Heat Transfer Over Banks of Rods in Small Reynolds Number Cross-Flow,” Int. J. Heat Mass Transfer, 51(3–4), pp. 853–864. [CrossRef]
Braga, E. J. , and de Lemos, M. J. S. , 2005, “ Heat Transfer in Enclosures Having a Fixed Amount of Solid Material Simulated With Heterogeneous and Homogeneous Models,” Int. J. Heat Mass Transfer, 48, pp. 4748–4765. [CrossRef]
Bejan, A. , Dincer, I. , Lorente, S. , Miguel, A. F. , and Reis, A. H. , 2004, Porous and Complex Flow Structures in Modern Technologies, Springer, New York.
Bejan, A. , 2004, Convection Heat Transfer, Wiley, New York.
Saito, M. B. , de Lemos, M. J. S. , 2005, “ Interfacial Heat Transfer Coefficient for Non-Equilibrium Convective Transport in Porous Media,” Int. Commun. Heat Mass Transf, 32(5), pp. 666–676. [CrossRef]
Kuwahara, F. , Shirota, M. , and Nakayama, A. , 2001, “ A Numerical Study of Interfacial Convective Heat Transfer Coefficient in Two-Energy Equation Model for Convection in Porous Media,” Int. J. Heat Mass Transfer, 44(6), pp. 1153–1159. [CrossRef]
Wakao, N. , and Kaguei, S. , 1982, Heat and Mass Transfer in Packed Beds, Gordon and Breach, New York.
Saito, M. B. , and de Lemos, M. J. S. , 2005, “ Convective Heat Transfer Coefficient for Turbulent Flow in a Porous Medium Formed by an Array of Square Rods,” Latin Am. J. Solids Struct., 2(4), pp. 291–304.
Pahor, S. , and Strnad, J. , 1961, “ A Note on Heat Transfer in Laminar Flow Through a Gap,” Appl. Sci. Res., 10(1), pp. 81–84. [CrossRef]
Grosjean, C. C. , Pahor, S. , and Strnad, J. , 1963, “ Heat Transfer in Laminar Flow Through a Gap,” Appl. Sci. Res., 11(3), pp. 292–294.
Ibrahim, T. A. , and Gomaa, A. , 2009, “ Thermal Performance Criteria of Elliptic Tube Bundle in Crossflow,” Int. J. Therm. Sci., 48(11), pp. 2148–2158. [CrossRef]

Figures

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Fig. 1

Geometric model: (a) heat exchanger bundles with longitudinal elliptical cross-sectional configuration and (b) structural unit with periodic and symmetry boundaries

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Fig. 2

Geometric model: transverse elliptical cross-sectional configuration

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Fig. 3

Code validation for square cross-sectional configuration with ϕ=0.84

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Fig. 4

Streamlines of longitudinal elliptical and transverse elliptical cross-sectional configurations for different exposure Reynolds numbers and porosities

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Fig. 5

Isothermal lines of longitudinal elliptical and transverse elliptical cross-sectional configurations for different exposure Reynolds numbers and porosities

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Fig. 6

Nusselt number variations of longitudinal elliptical and transverse elliptical cross-sectional configurations for different Reynolds numbers and porosities

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Fig. 7

The local entropy generation rate contours of longitudinal elliptical cross-sectional configuration for different exposure Reynolds numbers and porosities

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Fig. 8

The local entropy generation rate contours of transverse elliptical cross-sectional configuration for different exposure Reynolds numbers and porosities

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Fig. 9

The dimensionless volume-averaged entropy generation rate of longitudinal elliptical and transverse elliptical cross-sectional configurations for different Reynolds numbers and porosities

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Fig. 10

The Bejan number of longitudinal elliptical and transverse elliptical cross-sectional configurations for different Reynolds numbers and porosities

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Fig. 11

The performance evaluation criterion of longitudinal elliptical and transverse elliptical cross-sectional configurations for different Reynolds numbers and porosities

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Fig. 12

The performance evaluation criterion comparison of square and circular [23], longitudinal elliptical, and transverse elliptical cross-sectional configurations for different Reynolds numbers and porosities

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