Abstract
This paper deals with a numerical study of free convection in a horizontal cylindrical annulus filled with a fluidsaturated porous medium in the presence of a transverse magnetic field and the heat generation or absorption effect. It is assumed that the inner and outer walls of the cylindrical annulus are maintained at constant temperatures Ti and To , respectively, as Ti > To . In addition to the heat equation, the model consists of the equation of motion under the Darcy law and Boussinesq approximation. The system of equations is solved numerically by the alternatingdirection implicit finite difference method. This investigation concerns the effects of the magnetic field inclination angle, Hartmann number, and the heat generation or absorption coefficient on heat transfer and the flow pattern. The results demonstrate that the heat transfer rate and flow regime depend mainly on the characteristics mentioned. The obtained data are presented graphically in terms of the streamlines and isotherms.
Highlights
Natural convective heat transfer in fluid-saturated porous media has received considerable attention over the last few decades
This paper aims to investigate the effect of magnetic field inclination angle, Hartmann number and heat generation or absorption coefficient on the natural convection in a space bounded by two horizontal concentric cylinders filled with a saturated porous medium
The dimensionless governing equations are discretized using the centered finite difference method coupled with the Alternating Direction Implicit (ADI) scheme
Summary
Natural convective heat transfer in fluid-saturated porous media has received considerable attention over the last few decades. This interest is due to its wide range of numerous applications in geophysics and energy-related engineering problems. Such applications include solar collectors, building heating and cooling system, heat exchangers, thermal storage systems, underground transmission lines, to name just a few (see Vafai [1] and Nield and Bejan [2]). This paper aims to investigate the effect of magnetic field inclination angle, Hartmann number and heat generation or absorption coefficient on the natural convection in a space bounded by two horizontal concentric cylinders filled with a saturated porous medium
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