Heatfunction Formulation of Thermal Convection in Rectangular Enclosures Filled with Porous Media

REFERENCES

• A. C. Baytaş , Thermal Non-Equilibrium Natural Convection in a Square Enclosure Filled with a Heat Generating Solid Phase, Non-Darcy Porous Medium . Int. J. Energy Res. , vol. 27 , pp. 975 – 988 , 2003 .
   Web of Science ®Google Scholar
• R. Bennacer , H. Beji , and A. A. Mohamad , Double Diffusive Convection in a Vertical Enclosure Inserted with Two Saturated Porous Layers Confining a Fluid Layer . Int. J. Thermal Sciences , vol. 42 , pp. 141 – 151 , 2003 .
   Web of Science ®Google Scholar
• P. Cheng , Heat Transfer in Geothermal System . Adv. Heat Transfer , 14 , pp. 1 – 105 , 1979 .
   Google Scholar
• D. A. Nield and A. Bejan , Convection in Porous Media, , 3rd ed. , Springer , New York , 2006 .
   Google Scholar
• B. V. R. Kumar and Shalini , Free Convection in a Non-Darcian Wavy Porous Enclosures . Int. J. Eng. Sci. , vol. 41 , no. 16 , pp. 1827 – 1848 , 2003 .
   Web of Science ®Google Scholar
• T. C. Jue , Analysis of Thermal Convection in a Fluid-Saturated Porous Cavity with Internal Heat Generation . Heat Mass Transfer , vol. 40 , no. 1–2 , pp. 83 – 89 , 2003 .
   Web of Science ®Google Scholar
• V. A. F. Costa , Unification of the Streamline, Heatline and Massline Methods for the Visualization of Two-Dimensional Transport Phenomena . Int. J. Heat Mass Transfer , vol. 42 , no. 1 , pp. 27 – 33 , 1999 .
   Web of Science ®Google Scholar
• V. A. F. Costa , Unified Streamline, Heatline and Massline Methods for the Visualization of Two-Dimensional Heat and Mass Transfer in Anisotropic Media. Int. J. Heat Mass Transfer , vol. 46, no. 8, pp. 1309–1320, 2003.
   Web of Science ®Google Scholar
• Q.-H. Deng and G.-F. Tang , Numerical Visualization of Mass and Heat Transport for Conjugate Natural Convection/Heat Conduction by Streamline and Heatline . Int. Heat Mass Transfer , vol. 45 , no. 11 , pp. 2373 – 2385 , 2002 .
   Web of Science ®Google Scholar
• Q.-H. Deng and G.-F. Tang , Numerical Visualization of Mass and Heat Transport for Mixed Convective Heat Transfer by Streamline and Heatline . Int. J. Heat Mass Transfer , vol. 45 , no. 11 , pp. 2387 – 2396 , 2002 .
   Web of Science ®Google Scholar
• M. A. Waheed , Temperature Dependent Fluid Properties Effects on the Heat Function Formulation of Natural Convective Flow and Heat Transfer . Int. J. Numer. Methods Heat Fluid Flow , vol. 16 , no. 2 , pp. 240 – 260 , 2006 .
   Web of Science ®Google Scholar
• A. Dalal and M. K. Das , Heatline Method for the Visualization of Natural Convection in a Complicated Cavity . Int. J. Heat Mass Transfer , vol. 51 , pp. 263 – 272 , 2008 .
   Web of Science ®Google Scholar
• F.-Y. Zhao , D. Liu , and G.-F. Tang , Application Issues of the Streamline, Heatline and Massline for Conjugate Heat and Mass Transfer . Int. J. Heat Mass Transfer , vol. 50 , pp. 320 – 334 , 2007 .
   Web of Science ®Google Scholar
• V. A. F. Costa , Bejan's Heatlines and Masslines for Convection Visualization and Analysis . Appl. Mech. Rev. , vol. 59 , pp. 126 – 145 , 2006 .
   Web of Science ®Google Scholar
• Al. Morega and A. Bejan , Heatline Visualization of Forced Convection Laminar Boundary Layers . Int. J. Heat Mass Transfer , vol. 36 , no. 16 , pp. 3957 – 3966 , 1993 .
   Web of Science ®Google Scholar
• Al. Morega and A. Bejan , Heatline Visualization of Forced Convection in Porous Media . Int. J. Heat Fluid Flow , vol. 15 , pp. 42 – 47 , 1994 .
   Web of Science ®Google Scholar
• S. Kimura and A. Bejan , The “Heatline” Visualization of Convective Heat Transfer . ASME J. Heat Transfer , vol. 105 , pp. 916 – 919 , 1983 .
   Web of Science ®Google Scholar
• V. A. F. Costa , Double Diffusive Natural Convection in a Square Enclosure with Heat and Mass Diffusive Walls . Int. J. Heat Mass Transfer , vol. 40 , no. 17 , pp. 4061 – 4071 , 1997 .
   Web of Science ®Google Scholar
• A. Bejan , Convection Heat Transfer, , 2nd ed. , Wiley , New York , 1995 .
   Google Scholar
• O. V. Trevisan and A. Bejan , Combined Heat and Mass Transfer by Natural Convection in a Vertical Enclosure . ASME J. Heat Transfer , vol. 109 , pp. 104 – 112 , 1987 .
   Web of Science ®Google Scholar
• A. Mukhopadhyay , X. Qin , S. K. Aggarwal , and I. K. Puri , On Extension of “Heatline” and “Massline” Concepts to Reacting Flows Through use of Conserved Scalars . ASME J. Heat Transfer , vol. 124 , pp. 791 – 799 , 2002 .
   Web of Science ®Google Scholar
• V. A. F. Costa , Heatlines and Massline Visualization of Laminar Natural Convection Boundary Layers Near a Vertical Wall . Int. J. Heat Mass Transfer , vol. 43 , no. 20 , pp. 3765 – 3774 , 2000 .
   Web of Science ®Google Scholar
• K. M. 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 , no. 13 , pp. 2465 – 2481 , 1999 .
   Web of Science ®Google Scholar
• M. A. Hossain and M. Wilson , Natural Convection Flow in a Fluid-Saturated Porous Medium Enclosed by Non-Isothermal Walls with Heat Generation . Int. J. Therm. Sci. , vol. 41 , pp. 447 – 454 , 2002 .
   Web of Science ®Google Scholar
• A. A. Merrikh and A. A. Mohamad , Non-Darcy Effects in Buoyancy Driven Flows in an Enclosure Filled with Vertically Layered Porous Media . Int. J. Heat Mass Transfer , vol. 45 , no. 21 , pp. 4305 – 4313 , 2002 .
   Web of Science ®Google Scholar
• S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere Publishing Corporation , Washington , D.C. , 1980 .
   Google Scholar
• J. Chorin , A Numerical Method for Solving Incompressible Viscous Flow Problems . J. Comp. Phy. , vol. 135 , pp. 118 – 125 , 1997 .
   Web of Science ®Google Scholar
• S. Syrjala , Higher Order Penalty-Galerkin Finite Element Approach to Laminar Natural Convection in a Square Cavity. Numer. Heat Transfer A , vol. 29, pp. 197–210, 1996.
   Web of Science ®Google Scholar
• M. Char and Y. H. Hsu , Computation of Buoyancy-Driven Flow in an Eccentric Centrifugal Annulus with a Non-Orthogonal Collocated Finite Volume Algorithm . Int. J. Numer. Methods Fluids , vol. 26 , pp. 323 – 343 , 1998 .
   Web of Science ®Google Scholar
• B. V. R. Kumar and Shalini , Natural Convection in a Thermally Stratified Wavy Vertical Porous Enclosure . Numer. Heat Transfer A , vol. 43 , no. 7 , pp. 753 – 776 , 2003 .
   Web of Science ®Google Scholar
• J. C. Tannehill , D. A. Anderson , and R. H. Pletcher , Computational Fluid Mechanics and Heat Transfer, , 2nd ed. , Taylor & Francis Publishers , Washington D.C. , 1997 .
   Google Scholar
• A. M. Al-Amiri , Natural Convection in Porous Enclosures: The Application of the Two-Energy Equation Model . Numer. Heat Transfer A , vol. 41 , pp. 817 – 834 , 2002 .
   Web of Science ®Google Scholar
• G. Vahl Davis , Natural Convection of Air in a Square Cavity: A Benchmark Numerical Solution . Int. J. Numer. Methods Fluids , vol. 3 , no. 3 , pp. 249 – 263 , 1983 .
   Web of Science ®Google Scholar
• T. C. Jue , Analysis of Bénard Convection in Rectangular Cavities Filled with a Porous Medium . Acta Mechanica , vol. 146 , pp. 21 – 29 , 2001 .
   Web of Science ®Google Scholar
• M. A. Waheed , An Approach to the Simulation of Natural Convective Heat Transfer between Two Horizontal Cylindrical Annuli . Numer. Heat Transfer A , vol. 53 , no. 2 , pp. 323 – 340 , 2008 .
   Google Scholar
• D. N. Mahony , R. Kumar , and E. H. Bishop , Numerical Investigation of Variable Property Effects on Laminar Natural Convection of Gases between Two Horizontal Isothermal Concentric Cylinders . ASME J. Heat transfer , vol. 108 , pp. 783 – 789 , 1986 .
   Web of Science ®Google Scholar
• M. A. Hossain and D. A. S. Rees , Natural Convection Flow of a Viscous Incompressible Fluid in a Rectangular Porous Cavity Heated from Below with Cold Sidewalls . Heat Mass Transfer , vol. 39 , no. 8–9 , pp. 657 – 663 , 2003 .
   Web of Science ®Google Scholar