Natural Convection Heat Transfer in a Porous Rhombic Annulus

REFERENCES

• A. Bejan , On the Boundary Layer Regime in a Vertical Enclosure Filled with a Porous Medium , Letters in Heat and Mass Transfer , vol. 6 , pp. 93 – 102 , 1979 .
   Web of Science ®Google Scholar
• R. J. Gross , M. R. Bear , and C. E. Hickox , The Application of Flux-Corrected Transport (FCT) to High Rayleigh Number Natural Convection in a Porous Medium , Proc. of the 8th Int. Heat Transfer Conf. , San Francisco , CA , USA , 1986 .
   Google Scholar
• Y. Varol , H. F. Oztop , and I. Pop , Numerical Analysis of Natural Convection for a Porous Rectangular Enclosure with Sinusoidally Varying Temperature Profile on the Bottom Wall , Int. Comm. in Heat and Mass Transfer , vol. 35 , pp. 56 – 64 , 2008 .
   Web of Science ®Google Scholar
• G. B. Kim , J. M. Hyun , and H. S. Kwak , Buoyant Convection in a Square Cavity Partially Filled with a Heat-Generating Porous Medium , Numer. Heat Transfer A , vol. 40 , pp. 601 – 618 , 2001 .
   Web of Science ®Google Scholar
• H. Hadim , Non-Darcy Natural Convection of a Non-Newtonian Fluid in a Porous Cavity , Int. Comm. in Heat and Mass Transfer , vol. 33 , pp. 1179 – 1189 , 2006 .
   Web of Science ®Google Scholar
• V. A. F. Costa , On Natural Convection in Enclosures Filled with Fluid-Saturated Porous Media Including Viscous Dissipation , Int. J. Heat and Mass Transfer , vol. 49 , pp. 2215 – 2226 , 2006 .
   Web of Science ®Google Scholar
• B. V. Rathish Kumar and P. Sigh , Effect of Thermal Stratification on Free Convection in a Fluid-Saturated Porous Enclosure , Numer. Heat Transfer A , vol. 34 , pp. 343 – 356 , 1998 .
   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. Thermal Sci. , vol. 41 , pp. 447 – 454 , 2002 .
   Web of Science ®Google Scholar
• S. Das and R. K. Sahoo , Effect of Darcy, Fluid Rayleigh and Heat Generation Parameters on Natural Convection in a Porous Square Enclosure: A Brinkman-Extended Darcy Model , Int. Comm. in Heat and Mass Transfer , vol. 26 , no. 4 , pp. 569 – 578 , 1999 .
   Web of Science ®Google Scholar
• A. Pourshaghaghy , A. Hakkaki-Fard , and A. Mahdavi-Nejad , Direct Simulation of Natural Convection in Square Porous Enclosure , Energy Conversion and Management , vol. 48 , pp. 1579 – 1589 , 2007 .
   Web of Science ®Google Scholar
• H. F. Oztop , Natural Convection in Partially Cooled and Inclined Porous Rectangular Enclosures , Int. J. Thermal Sci. , vol. 46 , pp. 149 – 156 , 2007 .
   Web of Science ®Google Scholar
• A. C. Baytas and I. Pop , Free Convection in Oblique Enclosures Filled with a Porous Medium , Int. J. Heat and Mass Transfer , vol. 42 , pp. 1047 – 1057 , 1999 .
   Web of Science ®Google Scholar
• B. V. Rathish Kumar and Shalini , Natural Convection in a Thermally Stratified Wavy Vertical Porous Enclosure , Numer. Heat Transfer A , vol. 43 , pp. 753 – 776 , 2003 .
   Web of Science ®Google Scholar
• C. Y. Wang , Onset of Natural Convection in a Fluid-Saturated Porous Medium Inside a Cylindrical Enclosure Bottom Heated by Constant Flux , Int. Comm. in Heat and Mass Transfer , vol. 25 , no. 4 , pp. 593 – 598 , 1998 .
   Web of Science ®Google Scholar
• S. Mahmud and R. A. Fraser , Free Convection and Irreversibility Analysis Inside a Circular Porous Enclosures, Entropy , vol. 5, pp. 358–365, 2003.
   Google Scholar
• V. Dharma Rao , S. V. Naido , and P. K. Sarma , Non-Darcy Effects in Natural Convection Heat Transfer in a Vertical Porous Annulus , Journal of Heat Transfer , vol. 118 , pp. 502 – 505 , 1996 .
   Web of Science ®Google Scholar
• T. Basak , S. Roy , A. Singh , and I. Pop , Finite Element Simulation of Natural Convection Flow in a Trapezoidal Enclosure Filled with Porous Medium Due to Uniform and Non-Uniform Heating , Int. J. Heat and Mass Transfer , vol. 52 , pp. 70 – 78 , 2009 .
   Web of Science ®Google Scholar
• T. Basak , S. Roy , S. K. Singh , and I. Pop , Finite Element Simulation of Natural Convection within Porous Trapezoidal Enclosures for Various Inclination Angles: Effect of Various Wall Heating , Int. J. Heat and Mass Transfer , vol. 52 , pp. 4135 – 4150 , 2009 .
   Web of Science ®Google Scholar
• T. Basak , S. Roy , A. Singh , and A. R. Balakrishnan , Natural Convection Flows in Porous Trapezoidal Enclosures with Various Inclination Angles , Int. J. Heat and Mass Transfer , vol. 52 , pp. 4612 – 4623 , 2009 .
   Web of Science ®Google Scholar
• T. Basak , S. Roy , S. K. Babu , and I. Pop , Finite Element Simulations of Natural Convection Flow in an Isosceles Triangular Enclosure Filled with a Porous Medium: Effects of Various Thermal Boundary Conditions , Int. J. Heat and Mass Transfer , vol. 51 , pp. 2733 – 2741 , 2008 .
   Web of Science ®Google Scholar
• T. Basak , S. Roy , and S. K. Babu , Natural Convection and Flow Simulation in Differentially Heated Isosceles Triangular Enclosure Filled with Porous Medium , Chem. Eng. Sci. , vol. 63 , pp. 3328 – 3340 , 2008 .
   Web of Science ®Google Scholar
• F. Moukalled , H. Diab , and S. Acharya , Laminar Natural Convection in a Horizontal Rhombic Annulus , Numer. Heat Transfer A , vol. 23 , pp. 101 – 119 , 1993 .
   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 and Mass Transfer , vol. 24 , pp. 195 – 203 , 1981 .
   Web of Science ®Google Scholar
• X. B. Chen , P. Yu , S. H. Winoto , and H. T. Low , Free Convection in a Porous Wavy Cavity Based on the Darcy–Brinkman–Forchheimer Extended Model , Numer. Heat Transfer A , vol. 52 , pp. 377 – 397 , 2007 .
   Web of Science ®Google Scholar
• H. C. Brinkman , On the Permeability of Media Consisting of Closely Packed Porous Particles , Appl. Sci. Res. , vol. 1 , pp. 81 – 86 , 1947 .
   Google Scholar
• A. Amiri and K. Vafai , Analysis of Dispersion Effect, and Non-Thermal Equilibrium, Non-Darcian Variable Porosity Incompressible Flow through Porous Media , Int. J. Heat and Mass Transfer , vol. 37 , pp. 939 – 954 , 1994 .
   Web of Science ®Google Scholar
• P. J. Zwart , G. D. Raithby , and M. J. Raw , An Integrated Space-Time Finite-Volume Method for Moving-Boundary Problems , Numer. Heat Transfer B , vol. 34 , pp. 257 – 270 , 1998 .
   Web of Science ®Google Scholar
• P. H. Gaskell and A. K. C. Lau , Curvature Compensated Convective Transport: SMART, a New Boundedness Preserving Transport Algorithm , Int. J. for Numer. Meth. in Fluids , vol. 8 , pp. 617 – 641 , 1988 .
   Web of Science ®Google Scholar
• M. Darwish and F. Moukalled , Normalized Variable and Space Formulation Methodology for High-Resolution Schemes , Numer. Heat Transfer B , vol. 26 , pp. 79 – 96 , 1994 .
   Web of Science ®Google Scholar
• S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere Publishing Corporation , New York , 1980 .
   Google Scholar
• F. Moukalled and M. Darwish , Pressure Based Algorithms for Single and Multifluid Flow , in W. J. Minkowycz , E. M. Sparrow , and J. Y. Murthy (eds.), Handbook of Numerical Heat Transfer, , 2nd edition , pp. 325 – 367 , Wiley , New York , 2006 .
   Google Scholar
• F. Moukalled and M. Darwish , A Unified Formulation of the Segregated Class of Algorithms for Fluid Flow at All Speeds , Numer. Heat Transfer B , vol. 37 , no. 1 , pp. 103 – 139 , 2000 .
   Web of Science ®Google Scholar
• M. Peric , A Finite Volume Method for the Prediction of Three-Dimensional Fluid Flow in Complex Ducts, Ph.D. Thesis, Imperial College, Mechanical Engineering Department, London, UK, 1985.
   Google Scholar
• H. Hadim , Non-Darcy Natural Convection of a Non-Newtonian Fluid in a Porous Cavity , Int. Comm. in Heat and Mass Transfer , vol. 33 , pp. 1179 – 1189 , 2006 .
   Web of Science ®Google Scholar
• G. Lauriat and V. Prasad , Non-Darcian Effects on Natural Convection in a Vertical Porous Enclosure , Int. J. Heat and Mass Transfer , vol. 32 , pp. 2135 – 2148 , 1989 .
   Web of Science ®Google Scholar