Conjugate free convection over a vertical slender hollow cylinder embeddedin a porous medium

A numerical study of the steady conjugate free convection over a vertical s lender, hollow circular cylinder with the inner surface at a constant tempe rature and embedded in a porous medium is reported. The governing boundary layer equations for the fluid-saturated porous medium over the cylinder alo ng with the one-dimensional heat conduction equation for the cylinder are c ast into dimensionless form, by using a non-similarity transformation. The resulting non-similarity equations with their corresponding boundary condit ions are solved by using the Keller box method. Emphasis is placed on the e ffects caused by the wall conduction parameter, p, and calculations have co vered a wide range of this parameter. Heat transfer results including the t emperature profiles, the interface temperature profiles and the local Nusse lt number are presented.