The radiation effect on the mixed convection flow of an optically dense vis
cous fluid adjacent to an isothermal cone embedded in a saturated porous me
dium with Rosseland diffusion approximation is numerically investigated. Th
e entire regime of the mixed convection is included, as the mixed convectio
n parameter of chi varies from 0 (pure free convection) to 1 (pure forced c
onvection). The transformed nonlinear system of equations is solved by usin
g an implicit finite difference method. Numerical results are given for the
dimensionless temperature profiles and the local Nusselt number for variou
s values of the mixed convection parameter chi, the cone angle parameter m,
the radiation-conduction parameter R-d and the surface temperature paramet
er H. The local Nusselt number decreases initially, reaches a minimum in th
e intermediate value of chi and then increases gradually. It is apparent th
at increasing the cone angle parameter in enhances the local Nusselt number
. The local Nusselt number is significantly increased for the large values
of the radiation-conduction parameter R-d and the surface temperature param
eter H, i.e., radiation effect becomes pronounced.