Numerical Study of Natural Convection in a Vertical Porous Annulus with an Internal Heat Source: Effect of Discrete Heating

REFERENCES

• D. B. Ingham and I. Pop , Transport Phenomena in Porous Media , Pergamon , Oxford , 2005 .
   Google Scholar
• K. Vafai , Handbook of Porous Media , , 2nd ed. , Taylor & Francis , New York , 2005 .
   Google Scholar
• D. A. Nield and A. Bejan , Convection in Porous Media , , 3rd ed., Springer , New York , 2006.
   Google Scholar
• M. A. Havstad and P. J. Burns , Convective Heat Transfer in Vertical Cylindrical Annuli Filled with a Porous Medium , Int. J. Heat Mass Transfer , vol. 25 , pp. 1755 – 1766 , 1982 .
   Web of Science ®Google Scholar
• C. E. Hickox and D. K. Gartling , A Numerical Study of Natural Convection in a Vertical Annular Porous Layer , Int. J. Heat Mass Transfer , vol. 28 , pp. 720 – 723 , 1985 .
   Web of Science ®Google Scholar
• V. Prasad and F. A. Kulacki , Natural Convection in a Vertical Porous Annulus , Int. J. Heat Mass Transfer , vol. 27 , pp. 207 – 219 , 1984 .
   Web of Science ®Google Scholar
• V. Prasad , Numerical Study of Natural Convection in a Vertical, Porous Annulus with Constant Heat Flux on the Inner Wall , Int. J. Heat Mass Transfer , vol. 29 , pp. 841 – 853 , 1986 .
   Web of Science ®Google Scholar
• D. C. Reda , Natural Convection Experiments in a Liquid–Saturated Porous Medium Bounded by Vertical Coaxial Cylinders , ASME J. Heat Transfer , vol. 105 , pp. 795 – 802 , 1983 .
   Web of Science ®Google Scholar
• V. Prasad , F. A. Kulacki , and M. Keyhani , Natural Convection in Porous Media , J. Fluid Mech. , vol. 150 , pp. 89 – 119 , 1985 .
   Web of Science ®Google Scholar
• V. Prasad , F. A. Kulacki , and A. V. Kulkarni , Free Convection in a Vertical Porous Annulus with Constant Heat Flux on the Inner Wall-Experimental Results , Int. J. Heat Mass Transfer , vol. 29 , pp. 713 – 23 , 1986 .
   Web of Science ®Google Scholar
• E. R. Schio , M. Celli , and I. Pop , Buoyant Flow in a Vertical Fluid Saturated Porous Annulus: The Brinkman Model , Int. J. Heat Mass Transfer , vol. 54 , pp. 1665 – 1670 , 2011 .
   Web of Science ®Google Scholar
• N. J. S. Ahmed , I. A. Badruddin , J. Kanesan , Z. A. Zainal , and K. S. N. Ahamed , Study of Mixed Convection in an Annular Vertical Cylinder Filled with Saturated Porous Medium, Using Thermal Non-Equilibrium Model , Int. J. Heat Mass Transfer , vol. 54 , pp. 3822 – 3825 , 2011 .
   Web of Science ®Google Scholar
• F. Moukalled and M. Darwish , Natural Convection in a Porous Rhombic Annulus , Numer. Heat Transfer A , vol. 58 , no. 2 , pp. 101 – 124 , 2011 .
   Google Scholar
• M. Sankar and Y. Do , Numerical Simulation of Free Convection Heat Transfer in a Vertical Annular Cavity with Discrete Heating , Int. Comm. Heat Mass Transfer , vol. 37 , pp. 600 – 606 , 2010 .
   Web of Science ®Google Scholar
• M. Sankar , J. Park , and Y. Do , Natural Convection in a Vertical Annuli with Discrete Heat Sources , Numer. Heat Transfer A , vol. 59 , pp. 594 – 615 , 2011 .
   Web of Science ®Google Scholar
• M. Sankar , M. Bhuvaneswari , S. Sivasankaran , and Y. Do , Buoyancy Induced Convection in a Porous Cavity with Partially Thermally Active Sidewalls , Int. J. Heat Mass Transfer , vol. 54 , pp. 5173 – 5182 , 2011 .
   Web of Science ®Google Scholar
• S. Wang , A. Faghri , and T. L. Bergman , Transient Natural Convection in Vertical Annuli: Numerical Modeling and Heat Transfer Correlation , Numer. Heat Transfer A , vol. 61 , no. 11 , pp. 823 – 836 , 2012 .
   Web of Science ®Google Scholar
• W. J. Chang and C. F. Hsiao , Natural Convection in a Vertical Cylinder Filled with Anisotropic Porous Media , Int. J. Heat Mass Transfer , vol. 36 , no. 13 , pp. 3361 – 3367 , 1993 .
   Google Scholar
• V. Prasad and A. Chui , Natural Convection in a Cylindrical Porous Enclosure with Internal Heat Generation , ASME J. Heat Transfer , vol. 111 , pp. 916 – 925 , 1989 .
   Web of Science ®Google Scholar
• H. J. Islas , F. L. Isunza , and J. A. O. Tapia , Natural Convection in a Cylindrical Porous Cavity with Internal Heat Source: A Numerical Study with Brinkman-Extended Darcy Model , Int. J. Heat Mass Transfer , vol. 42 , pp. 4185 – 4195 , 1999 .
   Google Scholar
• B. V. K. Reddy and A. Narasimhan , Heat Generation Effects in Natural Convection Inside a Porous Annulus , Int. Comm. Heat Mass Transfer , vol. 37 , pp. 607 – 610 , 2010 .
   Google Scholar
• M. A. Waheed , An Approach to the Simulation of Natural-Convective Heat Transfer between Two Concentric Horizontal Annuli , Numer. Heat Transfer A , vol. 53 , no. 3 , pp. 323 – 340 , 2008 .
   Google Scholar
• M. R. H. Nobari and A. Asgarian , A Numerical Investigation of Flow and Mixed Convection Inside a Vertical Eccentric Annulus, Numer. Heat Transfer A , vol. 55, no. 1, pp. 77–99, 2009.
   Google Scholar
• A. Jamal , M. A. I. El-Shaarawi , and E. M. A. Mokheimer , Critical Conductivity Ratio and Wall Thickness for Conjugate Natural Convection Heat Transfer in Vertical Eccentric Annuli , Numer. Heat Transfer A , vol. 59 , no. 9 , pp. 719 – 737 , 2011 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 , no. 16 , pp. 3955 – 3967 , 1997 .
   Web of Science ®Google Scholar
• R. S. Kaluri , T. Basak , and S. Roy , Bejan's Heatlines and Numerical Visualization of Heat Flow and Thermal Mixing in Various Differentially Heated Porous Square Cavities , Numer. Heat Transfer A , vol. 55 , no. 5 , pp. 487 – 516 , 2009 .
   Web of Science ®Google Scholar
• N. H. Saeid and I. Pop , Natural Convection from Discrete Heater in a Square Cavity Filled with a Porous Medium , J. Porous Media , vol. 8 , no. 1 , pp. 55 – 63 , 2005 .
   Google Scholar
• M. Sankar , Y. Park , J. M. Lopez , and Y. Do , Numerical Study of Natural Convection in a Vertical Porous Annulus with Discrete Heating , Int. J Heat Mass Transfer , vol. 54 , pp. 1493 – 1505 , 2011 .
   Web of Science ®Google Scholar
• Y. M. Shim and J. M. Hyun , Transient Confined Natural Convection with Internal Heat Generation , Int. J. Heat Fluid Flow , vol. 18 , pp. 328 – 333 , 1997 .
   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
• M. Sankar , M. Venkatachalappa , and Y. Do , Effect of Magnetic Field on the Buoyancy and Thermocapillary Driven Convection of an Electrically Conducting Fluid in an Annular Enclosure , Int. J. Heat Fluid Flow , vol. 32 , pp. 402 – 412 , 2011 .
   Web of Science ®Google Scholar
• S. C. Kakarantzas , I. E. Sarris , and N. S. Vlachos , Natural Convection of Liquid Metal in a Vertical Annulus with Lateral and Volumetric Heating in the Presence of a Horizontal Magnetic Field , Int. J. Heat Mass Transfer , vol. 54 , pp. 3347 – 3356 , 2011 .
   Web of Science ®Google Scholar
• J. A. Khan and R. Kumar , Natural Convection in Vertical Annuli: A Numerical Study for Constant Heat Flux on the Inner Wall , ASME J. Heat Transfer , vol. 111 , pp. 909 – 915 , 1989 .
   Web of Science ®Google Scholar
• M. A. Waheed , Heat Function Formulation of Thermal Convection in Rectangular Enclosures Filled with Porous Media , Numer. Heat Transfer A , vol. 55 , pp. 185 – 204 , 2009 .
   Web of Science ®Google Scholar