Restrictions on the validity of the thermal conditions at the porous-fluid interface - An exact solution

Journal of Heat Transfer

Volumn 133, Issue 11, 2011, Pages

  Yang, Kun ^a,b   Vafai, Kambiz ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b University of California Riverside   (United States)

Author keywords

local thermal nonequilibrium; porous fluid interface; thermal condition

Indexed keywords

ANALYTICAL RESULTS; BIOT NUMBER; CRITICAL PARAMETER; DARCY NUMBER; EXACT SOLUTION; LOCAL THERMAL EQUILIBRIUM; LOCAL THERMAL NON-EQUILIBRIUM; POROUS MEDIUM; POROUS-FLUID INTERFACE; THERMAL CONDITION; THERMAL CONDUCTIVITY RATIO; THERMAL INTERFACES;

FLUIDITY; FLUIDS; NUSSELT NUMBER; POROUS MATERIALS;

THERMAL CONDUCTIVITY;

EID: 80053267625     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.4004350     Document Type: Article

References (24)

1. Poulikakos, D., and Kazmierczak, M., 1987, "Forced Convection in A Duct Partially Filled With A Porous Material," ASME J. Heat Transfer, 109, pp. 653-662. (Pubitemid 17634203)
2. Chikh, S., Boumedien, A., Bouhadef, K., and Lauriat, G., 1995, "Analytical Solution of Non-Darcian Forced Convection in An Annular Duct Partially Filled With A Porous Medium," Int. J. Heat Mass Transfer, 38(9), pp. 1543-1551.
3. Alkam, M. K., and Al-Nimr, M. A., 1999, "Improving the Performance of Double-Pipe Heat Exchangers by Using Porous Substrates," Int. J. Heat Mass Transfer, 42(19), pp. 3609-3618. (Pubitemid 29417205)
4. Mohamad, A. A., 2003, "Heat Transfer Enhancements in Heat Exchangers Fitted With Porous Media Part I: Constant Wall Temperature," Int. J. Thermal Sci., 42(4), pp. 385-395. (Pubitemid 36357109)
5. Pavel, B. I., and Mohamad, A. A., 2004, "An Experimental and Numerical Study on Heat Transfer Enhancement for Gas Heat Exchangers Fitted With Porous Media," Int. J. Heat Mass Transfer, 47(23), pp. 4939-4952. (Pubitemid 39300803)
6. Kim, W. T., Hong, K. H., Jhon, M. S., VanOsdol, J. G., and Smith, D. H., 2003, "Forced Convection in a Circular Pipe With a Partially Filled Porous Medium," J. Mech. Sci. Technol., 17(10), pp. 1583-1595.
7. Satyamurty, V. V., and Bhargavi, D., 2010, "Forced Convection in Thermally Developing Region of a Channel Partially Filled With a Porous Material and Optimal Porous Fraction," Int. J. Therm. Sci., 49(2), pp. 319-332.
8. Kuznetsov, A. V., 2000, "Analytical Studies of Forced Convection in Partly Porous Configurations," Handbook of Porous Media, K. Vafai, ed., Dekker, New York, pp. 269-312.
9. Beavers, G. S., and Joseph, D. D., 1967, "Boundary Conditions at a Naturally Permeable Wall," J. Fluid Mech., 30(1), pp. 197-207.
10. Vafai, K., and Thiyagaraja, R., 1987, "Analysis of Flow and Heat Transfer at the Interface Region of a Porous Medium," Int. J. Heat Mass Transfer, 30, pp. 1391-1405.
11. Vafai, K., and Kim, S., 1990, "Fluid Mechanics of the Interface Region Between a Porous Medium and a Fluid Layer-An Exact Solution," Int. J. Heat Fluid Flow, 11, pp. 254-256.
12. Alazmi, B., and Vafai, K., 2001, "Analysis of Fluid Flow and Heat Transfer Interfacial Conditions Between a Porous Medium and a Fluid Layer," Int. J. Heat Mass Transfer, 44, pp. 1735-1749.
13. Amiri, A., and Vafai, K., 1994, "Analysis of Dispersion Effects and Non-Thermal Equilibrium Non-Darcian, Variable Porosity Incompressible Flow Through Porous Medium," Int. J. Heat Mass Transfer, 37, pp. 939-954. (Pubitemid 278424)
14. Amiri, A., and Vafai, K., 1998, "Transient Analysis of Incompressible Flow Through a Packed Bed," Int. J. Heat Mass Transfer, 41, pp. 4259-4279. (Pubitemid 29139715)
15. Lee, D. Y., and Vafai, K., 1999, "Analytical Characterization and Conceptual Assessment of Solid and Fluid Temperature Differentials in Porous Media," Int. J. Heat Mass Transfer, 42, pp. 423-435.
16. Marafie, A., and Vafai, K., 2001, "Analysis of Non-Darcian Effects on Temperature Differentials in Porous Media," Int. J. Heat Mass Transfer, 44, pp. 4401-4411.
17. Alazmi, B., and Vafai, K., 2002, "Constant Wall Heat Flux Boundary Conditions in Porous Media Under Local Thermal Non-Equilibrium Conditions," Int. J. Heat Mass Transfer, 45, pp. 3071-3087. (Pubitemid 34707067)
18. Ochoa-Tapia, J. A., and Whitaker, S., 1997, "Heat Transfer at the Boundary Between a Porous Medium and a Homogeneous Fluid," Int. J. Heat Mass Transfer, 40(11), pp. 2691-2707.
19. Narasimhan, A., and Reddy, B. V. K., 2011, "Laminar Forced Convection in a Heat Generating Bi-Disperse Porous Medium Channel," Int. J. Heat Mass Transfer, 54(1-3), pp. 636-644.
20. Yang, Y. T., and Hwang, M. L., 2009, "Numerical Simulation of Turbulent Fluid Flow and Heat Transfer Characteristics in Heat Exchangers Fitted With Porous Media," Int. J. Heat Mass Transfer, 52(13-14), pp. 2956-2965.
21. Yang, Y. T., and Hwang, M. L., 2008, "Numerical Simulation of Turbulent Fluid Flow and Heat Transfer Characteristics in a Rectangular Porous Channel With Periodically Spaced Heated Blocks," Numer. Heat Transfer; Part A, 54(8), pp. 819-836.
22. Jeng, T. M., 2008, "A Porous Model for the Square Pin-Fin Heat Sink Situated in a Rectangular Channel with Laminar Side-Bypass Flow," Int. J. Heat Mass Transfer, 51, pp. 2214-2226.
23. Yucel, N., and Guven, R., 2007, "Forced Convection Cooling Enhancement of Heated Elements in a Parallel Plate Channels Using Porous Inserts," Numer. Heat Transfer, Part A, 51, pp. 293-312. (Pubitemid 46279523)
24. Zahmatkesh, I., and Yaghoubi, M., 2006, "Studies on Thermal Performance of Electrical Heaters by Using Porous Materials," Int. Commun. Heat Mass Transfer, 33(2), pp. 259-267. (Pubitemid 43192390)