Magnetic and buoyancy effects on melting from a vertical plate embedded in saturated porous media

Abstract The magnetic and buoyancy effects on melting processes about a vertical wall embedded in a saturated porous medium are investigated. The Forchheimer extension is considered in the flow equations, and the magnetic work is included in the energy equation. A similarity solution for the transformed governing equations is obtained, and the combined effect of magnetic field on heat transfer rate is discussed. Numerical results for the velocity and temperature profiles as well as Nusselt number have been presented. The effect of inertial forces on flow and heat transfer in porous media is analyzed. The Nusselt number was found to decrease at the solid–liquid interface as the melting parameter increases.

[1]  E. Bilgen,et al.  Effect of an electromagnetic field on natural convection in an inclined porous layer , 1996 .

[2]  N. V. Pavlyukevich,et al.  Mathematical Modeling of Heat and Mass Transfer in Evaporation of a Substance from a Porous Body in Vacuum , 2003 .

[3]  Ali J. Chamkha.  NON-DARCY FULLY DEVELOPED MIXED CONVECTION IN A POROUS MEDIUM CHANNEL WITH HEAT GENERATION/ABSORPTION AND HYDROMAGNETIC EFFECTS , 1997 .

[4]  R. Viskanta,et al.  MIXED CONVECTION BOUNDARY-LAYER FLOW ALONG A VERTICAL SURFACE IN A POROUS MEDIUM , 1984 .

[5]  D. Poulikakos,et al.  Melting of a vertical plate in porous medium controlled by forced convection of a dissimilar fluid , 1987 .

[6]  Theo G. Keith,et al.  Application of the conservation element and solution element method in numerical modeling of heat conduction with melting and/or freezing , 2003 .

[7]  A. D. Solomon,et al.  Mathematical Modeling Of Melting And Freezing Processes , 1992 .

[8]  R. Gorla,et al.  Combined convection along a non-isothermal wedge in a porous medium , 1997 .

[9]  I. Pop,et al.  MELTING FROM A FLAT PLATE EMBEDDED IN A POROUS MEDIUM IN THE PRESENCE OF STEADY NATURAL CONVECTION , 1986 .

[10]  M. A. Jarrah,et al.  MAGNETOHYDRODYNAMIC MIXED CONVECTION FROM A VERTICAL PLATE EMBEDDED IN A POROUS MEDIUM , 1995 .

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

[12]  I. A. Hassanien,et al.  Mixed Convection Effect on Melting from a Vertical Plate in a Porous Medium , 1999 .

[13]  J. Nayfeh,et al.  HYDROMAGNETIC CONVECTION AT A CONE AND A WEDGE , 1992 .

[14]  W. Minkowycz,et al.  Mixed Convection about a Nonisothermal Cylinder and Sphere in a Porous Medium , 1985 .

[15]  Bassem F. Armaly,et al.  Nonsimilarity solutions for mixed convection from vertical surfaces in porous media: variable surface temperature or heat flux , 1993 .

[16]  Ali J. Chamkha.  Hydromagnetic natural convection from an isothermal inclined surface adjacent to a thermally stratified porous medium , 1997 .

[17]  I. Pop,et al.  A unified similarity transformation for free, forced and mixed convection in Darcy and non-Darcy porous media , 1991 .

[18]  M. Epstein,et al.  Melting Heat Transfer in Steady Laminar Flow Over a Flat Plate , 1976 .