Stagnation-point flow of a Walters’ B fluid towards a vertical stretching surface embedded in a porous medium with elastic-deformation and chemical reaction

Abstract

In this paper, an analytical solution is presented for the stagnation-point flow of MHD Walters’ B fluid towards a vertical stretching surface with elastic-deformation and chemical reaction. The higher non-linear ordinary differential equations for the heat and mass transfer are obtained from partial differential equations via similarity transformation techniques and solved by the modern analytical method. The behaviors of the various embedded parameter are addressed and the result justifies among others that the fluid exhibits Newtonian properties in the absence of local Weissenberg number. On the other hand, the presence of local Weissenberg number makes the model possess the Non-Newtonian properties with great industrial application such as plastic film, artificial fibers, and higher molecular-weight liquid used in industries and engineering field, while greater cooling problems commonly encountered in industries and engineering discipline for the cooling of the system or electronics components is observed with higher values of thermal buoyancy effect.

Keywords

• chemical reaction
• local weissenberg number
• similarity variables
• heat generation
• homotopy analysis method (ham)