Homotopy analysis method for thermal analysis of wet fin with all nonlinearity effect

Abstract

This paper presents the analytical solution of steady state governing equation for a rectangular fin subjected to simultaneous heat and mass transfer (i.e. wet fin) across the surface as well as at the tip of the fin. The temperature distribution is obtained by using homotopy analysis method for the insulated as well as for the convective fin tip boundary conditions. Earlier studies on wet fin have been restricted to the analysis of nonlinear governing equation with insulated tip condition only. The present study developed a closed-form solution with consideration of nonlinearity effects in both governing equation as well as in the boundary condition.