Effect of radiation on non-Darcy free convection from a vertical cylinder embedded in a fluid-saturated porous medium with a temperature-dependent viscosity

The effects of both radiation and the nonlinear Forchheimer terms oil free convection from a vertical cylinder embedded in a fluid-saturated porous medium are examined. The fluid viscosity is assumed to vary as an inverse linear function of temperature. The boundary-layer equations governing flow are solved numerically by using the second-level local nonsimilarity method, which is used to convert the nonsimilar equations into a system of ordinary differential equations. Numerical results for dimensionless velocity, temperature profiles, and the local Nusselt number are presented for Ergun number Er, viscosity/temperature theta(r), conduction radiation parameter R-d, surface temperature excess ratio H, and transverse curvature parameter epsilon.