Unsteady Conjugate Natural Convection in a Vertical Cylinder Partially Filled with a Porous Medium

REFERENCES

• D. A. Nield and A. Bejan , Convection in Porous Media , Springer , New York , 2006 .
   Google Scholar
• D. B. Ingham and I. Pop , Transport Phenomena in Porous Media , Elsevier , Oxford , 2005 .
   Google Scholar
• A. Bejan , Convection Heat Transfer , Wiley , New York , 2004 .
   Google Scholar
• A. K. Singh and G. R. Thorpe , Natural Convection in a Confined Fluid Overlying a Porous Layer — A Comparison Study of Different Models , Indian J. of Pure and Applied Mathematics , vol. 26 , pp. 81 – 95 , 1995 .
   Web of Science ®Google Scholar
• G. S. Beavers and D. D. Joseph , Boundary Conditions at a Naturally Permeable Wall , J. Fluid Mechanics , vol. 30 , pp. 192 – 203 , 1967 .
   Google Scholar
• G. I. Taylor , A Model for the Boundary Condition of a Porous Material, Part—I , J. Fluid Mechanics , vol. 49 , pp. 319 – 326 , 1971 .
   Web of Science ®Google Scholar
• S. Richardson , A Model for the Boundary Condition of a Porous Material, Part—II , J. Fluid Mechanics , vol. 49 , pp. 327 – 336 , 1971 .
   Web of Science ®Google Scholar
• T. W. Tong and E. Subramanian , Natural Convection in Rectangular Enclosures Partially Filled with a Porous Medium , Int. J. Heat Fluid Flow , vol. 7 , pp. 3 – 10 , 1986 .
   Google Scholar
• C. Beckermann , S. Ramadhyani , and R. Viskanta , Natural Convection Flow and Heat Transfer between a Fluid Layer and a Porous Layer Inside a Rectangular Enclosure , ASME. J. Heat Transfer , vol. 109 , pp. 363 – 370 , 1987 .
   Web of Science ®Google Scholar
• A. K. Singh , P. Agnihotri , N. P. Singh , and A. K. Singh , Transient and Non-Darcian Effects on Natural Convection Flow in a Vertical Channel Partially Filled with Porous Medium: Analysis with Forchheimer–Brinkman Extended Darcy Model , Int. J. Heat Mass Transfer , vol. 54 , pp. 1111 – 1120 , 2011 .
   Web of Science ®Google Scholar
• K. Khanafer , A. Al-Amiri , and I. Pop , Numerical Analysis of Natural Convection Heat Transfer in a Horizontal Annulus Partially Filled with a Fluid-Saturated Porous Substrate , Int. J. Heat Mass Transfer , vol. 51 , pp. 1613 – 1627 , 2008 .
   Web of Science ®Google Scholar
• M. Song and R. Viskanta , Natural Convection Flow and Heat Transfer within a Rectangular Enclosure Containing a Vertical Porous Layer , Int. J. Heat Mass Transfer , vol. 37 , pp. 2425 – 2438 , 1994 .
   Web of Science ®Google Scholar
• F. Liu , B. Chen , and L. Wang , Experimental and Numerical Estimation of Slip Coefficient in a Partially Porous Cavity , Exper. Therm. and Fluid Sci. , vol. 44 , pp. 431 – 438 , 2013 .
   Web of Science ®Google Scholar
• F. Arpino , A. Carotenuto , N. Massarotti , and A. Mauro , New Solutions for Axial Flow Convection in Porous and Partly Porous Cylindrical Domains , Int. J. Heat Mass Transfer , vol. 57 , pp. 155 – 170 , 2013 .
   Web of Science ®Google Scholar
• F. Moukalled and M. Darwish , Natural Convection Heat Transfer in a Porous Rhombic Annulus , Numer. Heat Transfer A , vol. 58 , pp. 101 – 124 , 2010 .
   Web of Science ®Google Scholar
• M. Sankar , J. Park , D. Kim , and Y. Do , Numerical Study of Natural Convection in a Vertical Porous Annulus with an Internal Heat Source: Effect of Discrete Heating , Numer. Heat Transfer A , vol. 63 , pp. 687 – 712 , 2013 .
   Web of Science ®Google Scholar
• M. A. Sheremet , Three-Dimensional Conjugate Natural Convection in a Vertical Cylinder under Heat Transfer to the Surroundings , Fluid Dynamics , vol. 46 , pp. 647 – 657 , 2011 .
   Web of Science ®Google Scholar
• M. A. Sheremet , The Influence of Cross Effects on the Characteristics of Heat and Mass Transfer in the Conditions of Conjugate Natural Convection, J. Eng. Thermophysics , vol. 19, pp. 119–127, 2010.
   Web of Science ®Google Scholar
• M. A. Sheremet , Laminar Natural Convection in an Inclined Cylindrical Enclosure Having Finite Thickness Walls , Int. J. Heat Mass Transfer , vol. 55 , pp. 3582 – 3600 , 2012 .
   Web of Science ®Google Scholar
• N. H. Saeid , Conjugate Natural Convection in a Porous Enclosure: Effect of Conduction in one of the vertical walls , Int. J. Therm. Sci. , vol. 46 , pp. 531 – 539 , 2007 .
   Web of Science ®Google Scholar
• G. Neale and W. Nader , Practical Significance of Brinkman's Extension of Darcy's Law: Coupled Parallel Flows Within a Channel and a Bounding Porous Medium , Canadian J. of Chem. Eng. , vol. 52 , pp. 475 – 478 , 1974 .
   Web of Science ®Google Scholar
• T. S. Lundgren , Slow Flow Through Stationary Random Beds and Suspensions of Spheres , J. Fluid Mech. , vol. 51 , pp. 273 – 299 , 1972 .
   Web of Science ®Google Scholar
• M. A. Sheremet , Unsteady Conjugate Thermogravitational Convection in a Cylindrical Region with Local Energy Source , Thermophysics and Aeromechanics , vol. 18 , pp. 447 – 458 , 2011 .
   Web of Science ®Google Scholar
• I. A. Aleshkova and M. A. Sheremet , Unsteady Conjugate Natural Convection in a Square Enclosure Filled with a Porous Medium , Int. J. Heat Mass Transfer , vol. 53 , pp. 5308 – 5320 , 2010 .
   Web of Science ®Google Scholar
• A. Lemembre and J. P. Petit , Laminar Natural Convection in a Laterally Heated and Upper Cooled Vertical Cylindrical Enclosure , Int. J. Heat Mass Transfer , vol. 41 , pp. 2437 – 2454 , 1998 .
   Web of Science ®Google Scholar