NUMERICAL ANALYSIS OF THE STRESS JUMP INTERFACE CONDITION FOR LAMINAR FLOW OVER A POROUS LAYER

References

• R. A. Silva and M. J. S. de Lemos, Flow in a Channel Partially Filled with a Porous Material (in Portuguese), Proc. 16th Brazilian Congress of Mechanical Engineering (on CD-ROM), Uberlandia, MG, Brazil, November 26-30, 2001.
   Google Scholar
• R. A. Silva and M. J. S. de Lemos, Laminar Flow in a Channel with a Layer of Porous Material Considering the Non-linear Forchheimer Term (in Portuguese), Proc. II Natl. Cong. Mechanical Engineering (on CD-ROM), João Pessoa, PB, Brazil, August 12-16, 2002.
   Google Scholar
• Pedras , M. H. J. and de Lemos , M. J. S. 2000 . On the Definition of Turbulent Kinetic Energy for Flow in Porous Media . Int. Commun. Heat Mass Transfer , 27 ( 2 ) : 211 – 220 .
   Web of Science ®Google Scholar
• Rocamora , F. D. Jr and de Lemos , M. J. S. 2000 . Analysis of Convective Heat Transfer for Turbulent Flow in Saturated Porous Media . Int. Commun. Heat Mass Transfer , 27 ( 6 ) : 825 – 834 .
   Web of Science ®Google Scholar
• de Lemos , M. J. S. and Pedras , M. H. J. 2001 . Recent Mathematical Models for Turbulent Flow in Saturated Rigid Porous Media . J. Fluids Eng. , 123 ( 4 ) : 935 – 940 .
   Web of Science ®Google Scholar
• F. D. Rocamora, Jr., and M. J. S. de Lemos, Laminar Recirculating Flow and Heat Transfer in Hybrid Porous Medium-Clear Fluid Computational Domains, Proc. 34th ASME-Natl. Heat Transfer Conf. (on CD-ROM), ASME-HTD-I463CD, Paper NHTC2000-12317, Pittsburgh, PA, August 20-22, 2000.
   Google Scholar
• F. D. Rocamora, Jr., and M. J. S. de Lemos, Heat Transfer in Suddenly Expanded Flow in a Channel with Porous Inserts, Proc IMECE2000-ASME-Int. Mechanical Engineering Congr., ASME HTD-366-5, pp. 191-195, Orlando, FL, November 5-10,2000.
   Google Scholar
• Darcy , H. 1856 . Les Fontaines Publiques de la Vile de Dijon , Paris : Victor Dalmond .
   Google Scholar
• Forchheimer , P. 1901 . Wasserbewegung durch Boden . Z. Ver. Deutsch. Ing. , 45 : 17821788
   Google Scholar
• Brinkman , H. C. 1947 . A Calculation of the Viscous Force Exerted by a Flowing Fluid on a Dense Swarm of Particles . Appl. Sd. Res. , Al : 27 – 34 .
   Google Scholar
• Bear , J. 1972 . Dynamics of Fluids in Porous Media , New York : American Elsevier .
   Google Scholar
• Hsu , C. T. and Cheng , P. 1990 . Thermal Dispersion in a Porous Medium . Int. J. Heat Mass Transfer , 33 : 1587 – 1597 .
   Web of Science ®Google Scholar
• Whitaker , S. 1969 . Advances in Theory of Fluid Motion in Porous Media . Ind. Eng. Chem. , 61 : 14 – 28 .
   Web of Science ®Google Scholar
• Gray , W. G. and Lee , P. C. Y. 1977 . On the Theorems for Local Volume Averaging of Multiphase System . Int. J. Multiphase Flow , 3 : 333 – 340 .
   Google Scholar
• Ochoa-Tapia , J. A. and Whitaker , S. 1995a . Momentum Transfer at the Boundary between a Porous Medium and a Homogeneous Fluid-I. Theoretical development . Int. J. Heat Mass Transfer , 38 : 2635 – 2646 .
   Web of Science ®Google Scholar
• Ochoa-Tapia , J. A. and Whitaker , S. 1995b . Momentum Transfer at the Boundary between a Porous Medium and a Homogeneous Fluid-II. Comparison with Experiment . Int. J. Heat Mass Transfer , 38 : 2647 – 2655 .
   Web of Science ®Google Scholar
• Kuznetsov , A. V. 1996 . Analytical Investigation of the Fluid Flow in the Interface Region Between a Porous Medium and a Clear Fluid in Channels Partially Filled with a Porous Medium . Int. J. Heat Fluid Flow , 12 : 269 – 272 .
   Google Scholar
• Kuznetsov , A. V. 1997 . Influence of the Stresses Jump Condition at the Porous-Medium/ClearFluid Interface on a Flow at a Porous Wall . Int. Commun. Heat Mass Transfer , 24 : 401 – 410 .
   Google Scholar
• Kuznetsov , A. V. 1999 . Fluid Mechanics and Heat Transfer in the Interface Region between a Porous Medium and a Fluid Layer: A Boundary Layer Solution . J. Porous Media , 2 ( 3 ) : 309 – 321 .
   Web of Science ®Google Scholar
• M. J. S. de Lemos and M. H. J. Pedras, Simulation of Turbulent Flow through Hybrid Porous Medium-Clear Fluid Domains, Proc. IMECE2000-ASME-Int. Mechanical Engineering Congr., ASME-HTD-366-5, pp. 113-122, Orlando, FL, November 5-10, 2000.
   Google Scholar
• Pedras , M. H. J. and de Lemos , M. J. S. 2001 . Macroscopic Turbulence Modeling for Incompressible Flow through Undeformable Porous Media . Int. J. Heat Mass Transfer , 44 ( 6 ) : 1081 – 1093 .
   Web of Science ®Google Scholar
• Pedras , M. H. J. and de Lemos , M. J. S. 2001 . Simulation of Turbulent Flow in Porous Media Using a Spatially Periodic Array and a Low Re Two-Equation Closure . Numer. Heat Transfer A , 39 ( 1 ) : 35 – 59 .
   Web of Science ®Google Scholar
• Pedras , M. H. J and de Lemos , M. J. S. 2001 . On the Mathematical Description and Simulation of Turbulent Flow in a Porous Medium Formed by an Array of Elliptic Rods . Fluids Eng. , 123 ( 4 ) : 941 – 947 .
   Web of Science ®Google Scholar
• M. H. J. Pedras and M. J. S. de Lemos, On Volume and Time Averaging of Transport Equations for Turbulent Flow in Porous Media, ASME FED-vol. 248, Paper FEDSM997273, 1999.
   Google Scholar
• Patankar , S. V. 1980 . Numerical Heat Transfer and Fluid Flow , New York : Hemisphere .
   Google Scholar