Heat transfer with natural convection and radiation effect on a fully wet porous radial fin is considered. The
radial velocity of the buoyancy driven flow at any radial location is obtained by applying Darcy’s law. The
obtained non-dimensionalized ordinary differential equation involving three highly nonlinear terms is solved
numerically with the spectral collocation method. In this approach, the dimensionless temperature is
approximated by Chebyshev polynomials and discretized by Chebyshev-Gausse-Lobatto collocation points. A
particular algorithm is used to reduce the nonlinearity of the conservation of energy equation. The present
analysis characterizes the effect of ambient temperature in different ways and it provides a better picture
regarding the effect of ambient temperature on the thermal performance of the fin. The profiles for temperature
distributions and dimensionless base heat flow are obtained for different parameters which influence the heat
transfer rate.
