Radiation effect on mixed convection from a horizontal surface in a porous medium

The effect of thermal radiation on the non-Darcy mixed convection flow over a non-isothermal horizontal surface immersed in a saturated porous medium has been studied. The wall temperature is assumed to have a power-law variation with the distance measured from the leading edge of the plate. The non-linear coupled parabolic partial differential equations governing the flow have been solved numerically using a finite-difference scheme. For some particular cases, the self-similar solution has also been obtained. The heat transfer is found to be strongly influenced by the radiative flux number, buoyancy parameter, variation of wall temperature, non-Darcy parameter and the nature of the free stream velocity.

[1]  Richard S. Varga,et al.  Matrix Iterative Analysis , 2000, The Mathematical Gazette.

[2]  I. Pop,et al.  Conjugate heat transfer with radiation from a vertical circular pin in a non-newtonian ambient medium , 1993 .

[3]  B. Armaly,et al.  Nonsimilarity Solutions for Mixed Convection from Horizontal Surfaces in a Porous Medium-Variable Surface Heat Flux , 1993 .

[4]  B. Armaly,et al.  Nonsimilarity solutions for mixed convection from horizontal surfaces in a porous medium—variable wall temperature , 1993 .

[5]  A. Bejan,et al.  The nondarcy regime for vertical boundary layer natural convection in a porous medium , 1984 .

[6]  F. Kulacki,et al.  Non-Darcy convection from horizontal impermeable surfaces in saturated porous media , 1987 .

[7]  S. Ergun.  Fluid flow through packed columns , 1952 .

[8]  G. Nath,et al.  Non-darcy double-diffusive mixed convection from heated vertical and horizontal plates in saturated porous media , 1988 .

[9]  R. S. Reddy Gorla,et al.  Thermal radiation effect on mixed convection from horizontal surfaces in saturated porous media , 1996 .

[10]  O. A. Plumb,et al.  Non-darcy natural convection from heated surfaces in saturated porous media , 1981 .

[11]  E. Sparrow,et al.  Mixed Convection in Boundary Layer Flow on a Horizontal Plate , 1977 .

[12]  Ephraim M Sparrow,et al.  Buoyancy effects on horizontal boundary-layer flow and heat transfer , 1962 .

[13]  Analysis of non-Darcian mixed convection from impermeable horizontal surfaces in porous media: the entire regime , 1997 .

[14]  A. Y. Bakier.  Thermal radiation effect on mixed convection from vertical surfaces in saturated porous media , 2001 .

[15]  P. Cheng,et al.  Heat Transfer in Geothermal Systems , 1979 .

[16]  A. Bejan.  The basic scales of natural convection heat and mass transfer in fluids and fluid-saturated porous media* , 1987 .

[17]  W. Minkowycz,et al.  Non-similar boundary layer analysis of mixed convection about a horizontal heated surface in a fluid-saturated porous medium , 1984 .

[18]  A. Bejan,et al.  Convection in Porous Media , 1992 .

[19]  P. Bradshaw,et al.  Physical and Computational Aspects of Convective Heat Transfer , 1984 .

[20]  B. Armaly,et al.  MIXED CONVECTION OVER NONISOTHERMAL HORIZONTAL SURFACES IN A POROUS MEDIUM: THE ENTIRE REGIME”“ , 1994 .

[21]  Cheng Ping.  Similarity solutions for mixed convection from horizontal impermeable surfaces in saturated porous media , 1977 .