Forced convection over a backward-facing step with a porous floor segment

Numerical Heat Transfer; Part A: Applications

Volumn 53, Issue 11, 2008, Pages 1211-1230

  Chen, X B ^a   Yu, P ^a   Winoto, S H ^a   Low, H T ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; HEAT FLUX; NUSSELT NUMBER; POROUS MATERIALS; REYNOLDS NUMBER; TEMPERATURE DISTRIBUTION; THERMAL CONDUCTIVITY;

POROUS FLOOR SEGMENTS; THERMAL INTERFACIAL;

FORCED CONVECTION;

EID: 38949134502     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/10407780701852852     Document Type: Article

References (38)

1. K. Vafai, Handbook of Porous Media, pp. 201-441, Marcel Dekker, New York, 2000.
2. A. Bhattacharya and R. L. Mahajan, Finned Metal Foam Heat Sinks for Electronics Cooling in Forced Convection, J. Electron. Packaging, vol. 124, pp. 155-163, 2002.
3. S. Kiwan and M. A. AI-Nimr, Using Porous Fins for Heat Transfer Enhancement, J. Heat Transfer, vol. 123, pp. 790-795, 2001.
4. P. C. Huang and K. Vafai, Analysis of Forced Convection Enhancement in a Channel Using Porous Blocks, J. Thermophys. Heat Transfer, vol. 8, pp. 563-573, 1994.
5. P. C. Huang and K. Vafai, Internal Heat Transfer Augmentation in a Channel using an Alternate Set of Porous Cavity-Block Obstacles, Numer. Heat Transfer A, vol. 25, pp. 519-539, 1994.
6. W.-S. Fu, H.-C. Huang, and W.-Y. Liou, Thermal Enhancement in Laminar Channel Flow with a Porous Block, Int. J. Heat Mass Transfer, vol. 39, pp. 2165-2175, 1996.
7. A. R. Martin, C. Satiel, and W. Shyy, Heat Transfer Enhancement with Porous Inserts in Recirculating Flow, J. Heat Transfer, vol. 120, pp. 458-467, 1998.
8. B. Zhang and Y. Zhao, A Numerical Method for Simulation of Forced Convection in a Composite Porous/Fluid System, Int. J. Heat Fluid Flow, vol. 21, pp. 432-441, 2000.
9. X. Chen, P. Yu, S. H. Winoto, and H.-T. Low, A Numerical Method for Forced Convection in Porous and Homogenous Fluid Domains Coupled at Interface by Stress Jump. Int. J. Numer. Meth. Fluid, in press, 2008.
10. M. Assato, M. H. J. Pedras, and M. J. S. Delemos, Numerical Solution of Turbulent Channel Flow past a Backward-Facing-Step with a Porous Insert Using Linear and Non-linear k-ε Models, J. Porous Media, vol. 8, pp. 13-29, 2005.
11. B. Abu-Hijleh, Convection Heat Transfer from a Laminar Flow over a 2-D Backward Facing Step with Asymmetric and Orthotropic Porous Floor Segments, Numer. Heat Transfer A, vol. 31, pp. 325-335, 1997.
12. B. Abu-Hijleh, Heat Transfer from a 2D Backward Facing Step with Isotropic Porous Floor Segments, Int. J. Heat Mass Transfer, vol. 43, pp. 2727-2737, 2000.
13. R. A. Silva and M. J. S. De Lemos, Numerical Analysis of the Stress Jump Interface Condition for Laminar Flow Over a Porous Layer, Numer. Heat Transfer A, vol. 43, pp. 603-617, 2003.
14. G. S. Beavers and D. D. Joseph, Boundary Conditions at a Natural Permeable Wall, J. Fluid Mech., vol. 30, pp. 197-207, 1967.
15. G. Neale and W. Nader, Practical Significance of Brinkman's Extension of Darcy's Law: Coupled Parallel Flows within a Channel and a Bounding Porous Medium, Can. J. Chem. Eng., vol. 52, pp. 475-478, 1974.
16. K. Vafai and R. Thiyagaraja, Analysis of Flow and Heat Transfer at the Interface Region of a Porous Medium, Int. J. Heat Transfer, Vol. 30, pp. 1391-1405, 1987.
17. S. J. Kim and C. Y. Choi, Convection Heat Transfer in Porous and Overlying Layers Heated from Below, Int. J. Heat Mass Transfer, vol. 39, pp. 319-329, 1996.
18. J. A. Ochoa-Tapia and S. Whitaker, Momentum Transfer at the Boundary between a Porous Medium and a Homogeneous Fluid I: Theoretical Development, Int. J. Heat Mass Transfer, vol. 38, pp. 2635-2646, 1995.
19. J. A. Ochoa-Tapia and S. Whitaker, Momentum Transfer at the Boundary between a Porous Medium and a Homogeneous Fluid II: Comparison with Experiment, Int. J. Heat Mass Transfer, vol. 38, pp. 2647-2655, 1995.
20. B. Goyeau, D. Lhuillier, D. Gobin, and M. G. Velarde, Momentum Transport at a Fluid-Porous Interface, Int. J. Heat Mass Transfer, vol. 46, pp. 4071-4081, 2003.
21. M. Chandesris and D. Jamet, Boundary Conditions at a Planar Fluid-Porous Interface for a Poiseuille Flow, Int. J. Heat Mass Transfer, vol. 49, pp. 2137-2150, 2006.
22. M. Chandesris and D. Jamet, Boundary Conditions at a Fluid-Porous Interface: An a Priori Estimation of the Stress Jump Coefficients, Int. J. Heat Mass Transfer, vol. 50, pp. 3422-3436, 2007.
23. F. J. Valdes-Parada, B. Goyeau, and J. A. Ochoa-Tapia, Jump Momentum Boundary Condition at a Fluid-Porous Dividing Surface: Derivation of the Closure Problem, Chem. Eng. Sci., vol. 62, pp. 4025-4039, 2007.
24. J. A. Ochoa-Tapia and S. Whitaker, Momentum Jump Condition at the Boundary between a Porous Medium and a Homogeneous Fluid: Inertial Effect, J. Porous Media, vol. 1, pp. 201-217, 1998.
25. J. A. Ochoa-Tapia and S. Whitaker, Heat Transfer at the Boundary between a Porous Medium and a Homogeneous Fluid, Int. J. Heat Mass Transfer, vol. 40, pp. 2691-2707, 1997.
26. J. Y. Jang and J. L. Chen, Forced Convection in a Parallel Plate Channel Partially Filled with a High Porosity Medium, Int. Commun. Heat Mass Transfer, vol. 19, pp. 263-273, 1992.
27. A. V. Kuznetsov, Fluid Mechanics and Heat Transfer in the Interface Region between a Porous Medium and a Fluid Layer: A Boundary Layer Solution, J. Porous Media, vol. 2, pp. 309-321, 1999.
28. J. A. Ochoa-Tapia and S. Whitaker, Heat Transfer at the Boundary between a Porous Medium and a Homogeneous Fluid: The One-Equation Model, J. Porous Media, vol. 1, pp. 31-46, 1998.
29. M. Sahraoui and M. Kaviany, Slip and No-Slip Temperature Boundary Conditions at the Interface of Porous, Plain Media: Convection, Int. J. Heat Mass Transfer, vol. 37, pp. 1029-1044, 1994.
30. C. T. Hsu and P. Cheng, Thermal Dispersion in a Porous Medium, Int. J. Heat Mass Transfer, vol. 33, pp. 1587-1597, 1990.
31. X. B. Chen, P. Yu, S. H. Winoto, and H. T. Low, Free Convection in a Porous Wavy Cavity Based on the Darcy-Brinkman-Forchheimer Extended Model, Numer. Heat Transfer, Part A, vol. 52, pp. 377-397, 2007.
32. J. P. van Doormal and G. D. Raithby, Enhancements of the SIMPLE Method for Predicting Incompressible Fluid Flows, Numer. Heat Transfer, vol. 7, pp. 147-163, 1984.
33. P. Yu, T. S. Lee, Y. Zeng, and H. T. Low, A Numerical Method for Flows in Porous and Homogenous Fluid Domains Coupled at the Interface by Stress Jump. Int. J. Numer. Meth. Fluid, vol. 53, pp. 1755-1775, 2007.
34. C. M. Rhie and W. L. Chow, Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation, AAIA J, vol. 21, pp. 1525-1532, 1983.
35. L. Betchen, A. G. Straatman, and B. E. Thompson, A Nonequilibrium Finite-Volume Model for Conjugate Fluid/Porous/Solid Domains, Numer. Heat Transfer A, vol. 49, pp. 543-565, 2006.
36. D. K. Gartling, A Test Problem for Outflow Boundary Conditions-Flow over a Backward-Facing Step, Int. J. Numer. Meth. Fluid, vol. 11, pp. 953-967, 1990.
37. T. Kondoh, Y. Nagano, and T. Tsuji, Computational Study of Laminar Heat Transfer Downstream of a Backward-Facing Step, Int. J. Heat Mass Transfer, vol. 36, pp. 577-591, 1993.
38. B. Alazmi and K. Vafai, Analysis of Fluid Flow and Heat Transfer Interfacial Conditions between a Porous Medium and a Fluid Layer, Int. J. Heat Mass Transfer, vol. 44, pp. 1735-1749, 2001.