A Finite-Volume Model for Fluid Flow and Nonequilibrium Heat Transfer in Conjugate Fluid-Porous Domains Using General Unstructured Grids

REFERENCES

• A. Bhattacharya and R. L. Mahajan , Finned Metal Foam Heat Sinks for Electronics Cooling in Forced Convection , J. Electron. Packag. , vol. 124 , pp. 155 – 163 , 2002 .
   Web of Science ®Google Scholar
• K. Boomsma , D. Poulikakos , and F. Zwick , Metal Foams as Compact High Performance Heat Exchangers , Mech. Mater. , vol. 35 , pp. 1161 – 1176 , 2003 .
   Web of Science ®Google Scholar
• A. G. Straatman , N. C. Gallego , Q. Yu , L. J. Betchen , and B. E. Thompson , Forced Convection and Hydraulic Losses in Graphitic Foam , J. Heat Transf.—Transfer ASME , vol. 129 , pp. 1237 – 1245 , 2007 .
   Web of Science ®Google Scholar
• A. G. Straatman , N. C. Gallego , Q. Yu , and B. E. Thompson , Characterization of Porous Carbon Foam as a Material for Compact Recuperators , J. Eng. Gas Turbines Power—Trans. ASME , vol. 129 , pp. 326 – 330 , 2007 .
   Web of Science ®Google Scholar
• L. J. Betchen and A. G. Straatman , The Development of a Volume-Averaged Entropy-Generation Function for Nonequilibrium Heat Transfer in High-Conductivity Porous Foams , Numer. Heat Tranfer B , vol. 53 , pp. 412 – 436 , 2008 .
   Web of Science ®Google Scholar
• C. T. DeGroot , A. G. Straatman , and L. J. Betchen , Modeling Forced Convection in Finned Metal Foam Heat Sinks , J. Electron. Packag. , vol. 131 , 021001 , 2009 .
   Web of Science ®Google Scholar
• K. C. Leong , H. Y. Li , L. W. Jin , and J. C. Chai , Numerical and Experimental Study of Forced Convection in Graphite Foams of Different Configurations , Appl. Thermal Eng. , vol. 30 , pp. 520 – 532 , 2010 .
   Web of Science ®Google Scholar
• W. Wu , J. H. Du , Y. R. Lin , L. C. Chow , H. Bostanci , B. A. Saarloos , and D. P. Rini , Evaluation of Compact, and Effective Air-Cooled Carbon Foam Heat Sink , J. Heat Transfer—Trans. ASME , vol. 133 , 054504 , 2011 .
   Web of Science ®Google Scholar
• S. Whitaker , Diffusion and Dispersion in Porous Media, AIChE J. , vol. 13, pp. 420–427, 1967.
   Web of Science ®Google Scholar
• K. Vafai and C. L. Tien , Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media , Int. J. Heat Mass Transfer , vol. 24 , pp. 195 – 203 , 1981 .
   Web of Science ®Google Scholar
• Y. Ould-Amer , S. Chikh , K. Bouhadef , and G. Lauriat , Forced Convection Cooling Enhancement by Use of Porous Materials , Int. J. Heat Fluid Flow , vol. 19 , pp. 251 – 258 , 1998 .
   Web of Science ®Google Scholar
• S. Chikh , A. Boumedien , K. Bouhadef , and G. Lauriat , Analysis of Fluid Flow and Heat Transfer in a Channel with Intermittent Heated Porous Blocks , Heat Mass Transfer , vol. 33 , pp. 405 – 413 , 1998 .
   Web of Science ®Google Scholar
• W. S. Fu and S. F. Chen , A Numerical Study of Heat Transfer of a Porous Block with the Random Porosity Model in a Channel Flow , Heat Mass Transfer , vol. 38 , pp. 695 – 704 , 2002 .
   Web of Science ®Google Scholar
• M. S. Phanikumar and R. L. Mahajan , Non-Darcy Natural Convection in High Porosity Metal Foams , Int. J. Heat Mass Transfer , vol. 45 , pp. 3781 – 3793 , 2002 .
   Web of Science ®Google Scholar
• V. V. Calmidi and R. L. Mahajan , Forced Convection in High Porosity Metal Foams , J. Heat Transfer—Trans. ASME , vol. 122 , pp. 557 – 565 , 2000 .
   Web of Science ®Google Scholar
• V. A. F. Costa , L. A. Oliveira , B. R. Baliga , and A. C. M. Sousa , Simulation of Coupled Flows in Adjacent Porous and Open Domains Using a Control-Volume Finite-Element Method , Numer. Heat Tranfer A , vol. 45 , pp. 675 – 697 , 2004 .
   Web of Science ®Google Scholar
• 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 Tranfer B , vol. 53 , pp. 383 – 411 , 2008 .
   Web of Science ®Google Scholar
• L. J. Betchen , A. G. Straatman , and B. E. Thompson , A Nonequilibrium Finite-Volume Model for Conjugate Fluid/Porous/Solid Domains , Numer. Heat Tranfer A , vol. 49 , pp. 543 – 565 , 2006 .
   Web of Science ®Google Scholar
• P. Yu , T. S. Lee , Y. Zeng , and H. T. Low , A Numerical Method for Flows in Porous and Homogeneous Fluid Domains Coupled at the Interface by Stress Jump , Int. J. Numer. Meth. Fluids , vol. 53 , pp. 1755 – 1775 , 2007 .
   Web of Science ®Google Scholar
• S. Whitaker , Volume Averaging of Transport Equation , in J. P. Du Plessis (ed.), Fluid Transport in Porous Media , chap. 1 , Springer-Verlag , Southampton , UK , 1997 .
   Google Scholar
• A. Amiri , K. Vafai , and T. M. Kuzay , Effects of Boundary Conditions on Non-Darcian Heat Transfer through Porous Media and Experimental Comparisons , Numer. Heat Tranfer A , vol. 27 , pp. 651 – 664 , 1995 .
   Web of Science ®Google Scholar
• M. L. Martins-Costa and R. M. S da 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 .
   Web of Science ®Google Scholar
• K. Vafai and S. J. Kim , On the Limitations of the Brinkman-Forchheimer-Extended Darcy Equation , Int. J. Heat Fluid Flow , vol. 16 , pp. 11 – 15 , 1995 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 , 2002 .
   Web of Science ®Google Scholar
• L. J. Betchen and A. G. Straatman , An Accurate Gradient and Hessian Reconstruction Method for Cell-Centered Finite Volume Discretizations on General Unstructured Grids , Int. J. Numer. Meth. Fluids , vol. 62 , pp. 945 – 962 , 2010 .
   Web of Science ®Google Scholar
• V. Venkatakrishnan , Convergence to Steady-State Solutions of the Euler Equations on Unstructured Grids with Limiters , J. Comput. Phys. , vol. 118 , no. 1 , pp. 120 – 130 , 1995 .
   Web of Science ®Google Scholar
• A. Dalal , V. Eswaran , and G. Biswas , A Finite-Volume Method for Navier-Stokes Equations on Unstructured Grids, Numer. Heat Tranfer B , vol. 54, pp. 238–259, 2008.
   Web of Science ®Google Scholar
• I. Demirdžić , and S. Muzaferija , Numerical Method for Coupled Fluid Flow , Heat Transfer and Stress Analysis Using Unstructured Moving Meshes with Cells of Arbitrary Topology , Comput. Meth. Appl. Mech. Eng. , vol. 125 , pp. 235 – 255 , 1995 .
   Web of Science ®Google Scholar
• C. M. Rhie and W. L. Chow , Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , AIAA J. , vol. 21 , pp. 1525 – 1532 , 1983 .
   Google Scholar
• M. Moradi Larmaei , J. Behzadi , and T.-F. Mahdi , Treatment of Checkerboard Pressure in the Collocated Unstructured Finite-Volume Scheme , Numer. Heat Tranfer B , vol. 58 , pp. 121 – 144 , 2010 .
   Web of Science ®Google Scholar