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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 60, 2011 - Issue 2
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Original Articles

Preconditioned Density-Based Algorithm for Conjugate Porous/Fluid/Solid Domains

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Pages 129-153 | Received 26 Nov 2010, Accepted 30 Apr 2011, Published online: 05 Jul 2011

REFERENCES

  • V. V. Calmidi and R. L. Mahajan , Forced Convection in High Porosity Metal Foams , J. Heat Transfer , vol. 122 , pp. 557 – 565 , 2000 .
  • C. Y. Zhao , T. J. Lu , and H. P. Hodson , Natural Convection in Metal Foams with Open Cells , Int. J. Heat Mass Transfer , vol. 48 , pp. 2452 – 2463 , 2005 .
  • L. J. Betchen and A. G. Straatman , An Investigation of the Effects of a Linear Porosity Distribution on Non-Equilibrium Heat Transfer in High-Conductivity Graphitic Foam , Numer. Heat Transfer A , vol. 58 , pp. 605 – 624 , 2010 .
  • R. S. Kaluri , T. Basak , and S. Roy , Bejan's Heatlines and Numerical Visualization of Heat Flow and Thermal Mixing in Various Differentially Heated Porous Square Cavities , Numer. Heat Transfer A , vol. 55 , pp. 487 – 516 , 2009 .
  • T. M. Jeng and S. C. Tzeng , Heat Transfer in a Lid-Driven Enclosure Filled with Water-Saturated Aluminum Foams , Numer. Heat Transfer A , vol. 54 , pp. 178 – 196 , 2008 .
  • E. Vishnuvardhanarao and M. K. Das , Laminar Mixed Convection in a Parallel Two-Sided Lid-Driven Differentially Heated Square Cavity Filled with a Fluid-Saturated Porous Medium , Numer. Heat Transfer A , vol. 53 , pp. 88 – 110 , 2008 .
  • K. K. Bodla , J. Y. Murthy , and S. V. Garimella , Microtomography-Based Simulation of Transport through Open-Cell Metal Foams , Numer. Heat Transfer A , vol. 58 , pp. 527 – 544 , 2010 .
  • S. V. S. S. N. V. G. K. Murthy and B. V. R. Kumar , Non-Darcy Mixed Convection in a Porous Square Enclosure Under Suction/Injection Effects with a Non-Isothermal Vertical Wall , Numer. Heat Transfer A , vol. 57 , pp. 580 – 602 , 2010 .
  • S. R. Annapragada , J. Y. Murthy , and S. V. Garimella , Permeability and Thermal Transport in Compressed Open-Celled Foams , Numer. Heat Transfer B , vol. 54 , pp. 1 – 22 , 2008 .
  • K. C. Wong , N. H. Saeid , and C. S. Tan , Visualization of Mixed Convective Rolls of a Slot Jet in a Fluid-Superposed Metallic Porous Foam Heated from Below , Numer. Heat Transfer A , vol. 56 , pp. 20 – 41 , 2009 .
  • G. Beavers and D. D. Joseph , Boundary Conditions at a Naturally Permeable Wall , J. Fluid Mech. , vol. 30 , pp. 197 – 207 , 1967 .
  • 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 .
  • K. Vafai and S. J. Kim , Fluid Mechanics of the Interface Region between a Porous Medium and a Fluid Layer––An Exact Solution , Int. J. Heat Fluid Flow , vol. 11 , pp. 254 – 256 , 1990 .
  • 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, no. 14, pp. 2635–2646, 1995.
  • 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 , no. 14 , pp. 2647 – 2655 , 1995 .
  • J. A. Ochoa-Tapia and S. Whitaker , Momentum Jump Condition at the Boundary between a Porous Medium and a Homogenous Fluid: Inertial Effects , J. Porous Medium , vol. 1 , pp. 201 – 207 , 1998 .
  • P. Yu , T. S. Lee , Y. Zeng , and H. T. Low , A Numerical Method for Flows in Porous and Open Domains Coupled at the Interface by Stress Jump , Int. J. Numer. Meth. Fluid , vol. 53 , pp. 1755 – 1775 , 2007 .
  • P. Yu , Y. Zeng , T. S. Lee , and H. T. Low , Wake Structure for Flow past and through a Porous Square Cylinder , Int. J. Heat Fluid Flow , vol. 31 , pp. 141 – 153 , 2010 .
  • H. Tan , and K. M. Pilllai , Finite Element Implementation of Stress-Jump , and Stress-Continuity Conditions at Porous-Medium , Clear-Fluid Interface , Comput. Fluids , vol. 38 , pp. 1118 – 1131 , 2009 .
  • X. B. Chen , P. Yu , and S. H. Winoto , Numerical Analysis for the Flow Past a Porous Square Cylinder Based on the Stress-Jump Interfacial-Conditions , Int. J. Numer. Meth. Heat Fluid Flow , vol. 18 , pp. 635 – 655 , 2007 .
  • 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 .
  • V. A. F. Costa , L. A. Oliveira , B. R. Baliga , and A. C. M. Sousa , Simulation of Coupled Flows in Adjacent Viscous and Porous Domains Using a Control-volume Finite-Element Method , Numer. Heat Transfer A , vol. 45 , pp. 675 – 697 , 2004 .
  • V. A. F. Costa , L. A. Oliveira , and B. R. Baliga , Implementation of the Stress Jump Condition in a Control- Volume Finite-Element Method for the Simulation of Laminar Coupled Flows in Adjacent Open and Porous Domains , Numer. Heat Transfer B , vol. 53 , pp. 383 – 411 , 2008 .
  • Lee Betchen , A. G. Straatman , and B. E. Thompson , A Nonequilibrium Finite-volume Model for Conjugate Fluid/Solid Domains , Numer. Heat Transfer A , vol. 49 , pp. 543 – 565 , 2006 .
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , New York : McGraw-Hill , 1980 .
  • Y. H. Choi and C. L. Merkle , The Application of Preconditioning in Viscous Flows , J. Computational Physics , vol. 105 , pp. 207 – 233 , 1993 .
  • E. Turkel , R. Radespiel , and N. Kroll , Assessment of Preconditioning Methods for Multidimensional aerodynamics , Comput. Fluids , vol. 26 , pp. 613 – 634 , 1997 .
  • J. K. Edwards and C. Roy , Preconditioning Multigrid Methods for Two-Dimensional Combustion Calculations at All Speeds , AIAA J. , vol. 36 , pp. 185 – 192 , 1998 .
  • G. Volpe , Performance of Compressible Flow Codes at Low Mach Number , AIAA J. , vol. 31 , pp. 49 – 56 , 1993 .
  • R. C. Swanson and E. Turkel , On Central Difference and Upwind Schemes , J. Computational Physics , vol. 101 , pp. 292 – 306 , 1992 .
  • R. C. Swanson , R. Radespiel , and E. Turkel , Comparison of Central Several Dissipation Algorithms for Central Difference Schemes, AIAA Paper 97-1945, 1997.
  • M. Kaviany , Principles of Heat Transfer in Porous Medium, , 2nd ed. , pp. 29 – 30 , Springer-Verlag , New York , 1995 .
  • J. M. Weiss and W. A. Smith , Preconditioning Applied to Variable and Constant Density Flows , AIAA J. , vol. 33 , pp. 2050 – 2057 , 1995 .
  • M. Mulas , S. Chibbaro , G. Delussu , I. Di Piazza , and M. Talice , Efficient Parallel Computations of Flows of Arbitrary Fluids for All Regimes of Reynolds, Mach and Grashof Numbers, Int. J. Numerical Meth. Heat Fluid Flow , vol. 12, no. 6, pp. 637–657, 2002.
  • M. L. Martins-Costa and R. M. Saldanha de Gama , A Local Model for the Heat Transfer Process in Two Distinct Flow Regions , Int. J. Heat Fluid Flow , vol. 15 , pp. 477 – 485 , 1994 .
  • D. Y. Lee and K. Vafai , Analytical Characterization and Conceptual Assessment of Solid and Fluid Temperature Differentials in Porous Medium , Int. J. Heat Mass Transfer , vol. 42 , pp. 423 – 435 , 1999 .
  • C. Y. Zhao , T. Kim , T. J. Lu , and H. P. Hodson , Thermal Transport in High Porosity Cellular Metal Foams , J. Thermophysics Heat Transfer , vol. 18 , No. 3 , pp. 309 – 317 , 2004 .

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