Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 56, 2009 - Issue 8
236
Views
36
CrossRef citations to date
0
Altmetric
Original Articles

Analysis of Non-Darcy Models for Mixed Convection in a Porous Cavity Using a Multigrid Approach

, &
Pages 685-708 | Received 20 Feb 2009, Accepted 24 Sep 2009, Published online: 07 Dec 2009

REFERENCES

  • P. Forchheimer , Wasserbewegung Durch Boden , Zeitschrift des Verines Deutscher Ingenieure , vol. 45 , pp. 1782 – 1788 , 1901 . (In German)
  • H. C. Brinkman , A Calculation of the Viscous Force Exerted by a Flowing Fluid in a Dense Swarm of Particles , Appl. Sci. Res. , vol. A1 , pp. 27 – 34 , 1947 .
  • D. A. Nield and A. Bejan , Convection in Porous Media, , 2nd ed. , Springer-Verlag , New York , 1992 .
  • 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 .
  • G. Lauriat and V. Prasad , Non-Darcian Effects on Natural Convection in a Vertical Porous Enclosure , Int. J. Heat Mass Transfer , vol. 32 , pp. 2135 – 2148 , 1989 .
  • T. Basak , S. Roy , T. Paul , and I. Pop , Natural Convection in a Square Cavity Filled with a Porous Medium: Effects of Various Thermal Boundary Contions , Int. J. Heat Mass Transfer , vol. 49 , pp. 1430 – 1441 , 2006 .
  • K. Khanafer and A. J. Chamkha , Mixed Convection Flow in a Lid-Driven Enclosure Filled with a Fluid-Saturated Porous Medium , Int. J. Heat Mass Transfer , vol. 42 , pp. 2465 – 2481 , 1999 .
  • E. Vishnuvaradhanarao and Manab Kumar 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 .
  • A. M. Al-Amiri , Analysis of Momentum and Energy Transfer in a Lid-Driven Cavity Filled with a Porous Medium , Int. J. Heat Mass Transfer , vol. 43 , pp. 3513 – 3527 , 2000 .
  • K. Khanafer and K. Vafai , Double-Diffusive Mixed Convection in a Lid-Driven Enclosure Filled with a Fluid-Saturated Porous Medium , Numer. Heat Transfer A , vol. 42 , pp. 465 – 486 , 2002 .
  • S. Sivaloganathan and G. J. Shaw , A Multigrid Method for Recirculating Flows , Int. J. Numer. Meth. Fluids , vol. 8 , pp. 417 – 440 , 1988 .
  • C. M. Rhie and W. L. Chow , Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Seperation , AIAA J. , vol. 21 , pp. 1525 – 1532 , 1983 .
  • M. Peric , R. Kessler , and G. Scheuerer , Comparison of Finite Volume Numerical Methods with Staggered and Colocated Grids , Comput. Fluids , vol. 16 , pp. 389 – 403 , 1988 .
  • M. Hortmann , M. Peric , and G. Scheuerer , Finite Volume Multigrid Prediction of Laminar Natural Convection: Bench-Mark Solutions , Int. J. Numer. Meth. Fluids , vol. 11 , pp. 189 – 207 , 1990 .
  • F. S. Lien and M. A. Leschziner , Multigrid Acceleration for Recirculating Laminar and Turbulent Flows Computed with a Nonorthogonal Colocated Finite Volume Scheme , Comput. Meth. Appl. Mech. Eng. , vol. 118 , pp. 351 – 371 , 1994 .
  • D. Santhosh Kumar , K. Suresh Kumar , and M. Kumar Das , A Fine Grid Solution for a Lid-Driven Cavity Flow using Multigrid Method , Eng. Appl. Comput. Fluid Mech. , vol. 3 , pp. 336 – 354 , 2009 .
  • G. de Vahl Davis , Natural Convection of Air in a Square Cavity: A Benchmark Numerical Solution , Int. J. Numer. Meth. Fluids , vol. 3 , pp. 249 – 264 , 1983 .
  • P. Nithiarasu , K. N. Seetharamu , and T. Sundararajan , Natural Convective Heat Transfer in a Fluid Saturated Variable Porosity Medium, Int. J. Heat Mass Transfer , vol. 40, pp. 3955–3967, 1997.
  • N. Kumar , J. C. Kalita , and A. K. Dass , HOC Computation of Two-Sided Lid-Driven Cavity Flow , Intern. Conf. on Computational Mechanics and Simulation, Proc. IIT Guwahati , vol. II , pp. 1695 – 1700 , 2006 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.