Heat transfer analysis for three-dimensional stagnation-point flow over an exponentially stretching surface

Abstract

In the current article, a detail investigation is accomplished to examine the laminar boundary-layer stagnation-point flow and heat transfer of a steady, three dimensional fluid caused by a surface which was stretched exponentially. After using the boundary layer approximation and suitable similarity transformation of exponential character, the resulting three dimensional non-linear momentum and energy equations are transmuted into nonlinear and non-homogeneous differential equations involving ordinary derivatives. Final equations are then solved out by applying homotopy analysis technique (HAM). The influence of dominating parameters on profiles of velocity and temperature are explained. The aspects of skin friction coefficient as well as Nusselt number are also computed. Graphical results of involved parameters are presented. It is found that results velocities and temperature profiles are strongly influenced by stretching ratios and stagnation point parameter. Friction at the surface is found to opposite trend along x and y-directions with respect the increasing values of stretching ratios parameters.