Effects of radiation-conduction interaction on mixed convection from a verticalcone embedded in a porous media with high porosity

The problem of steady laminar mixed convection heat transfer about a vertical cone embedded in a porous medium with high porosity was studied numerically, taking into account the radiation-conduction effect. The uid was assumed to be incompressible and dense. The nonlinear coupled parabolic partial di erential equations governing the ow were transformed into nonsimilar boundary layer equations, which were then solved numerically using the Keller box method. The e ects of the exponent in the power law variation of the free stream velocity m, the mixed convection parameter Ri, the radiation{conduction parameter Rd , the surface temperature parameter θw , and Forchheimer parameter on the velocity and temperature pro les, as well as on the local skin friction and local heat transfer, are presented and analyzed. The validity of the methodology and analysis was checked by comparing the results obtained for some speci c cases with those available in the literature.