Thin film flow of a second grade fluid in a porous medium past a stretching sheet with heat transfer

This article inquires into the steady boundary layer flow and heat transfer properties of a thin film second-grade fluid through a porous medium past a stretching sheet concerning the effect of viscous dissipation. The aim of the study is to discuss the impacts of film thickness and porosity in the presence of constant reference temperature which completely affect the flow pattern and bring changes in the cooling/heating. The basic governing equations of the problem have been modeled in terms of suitable similarity transformations which result in nonlinear ordinary differential equations with physical conditions. Solution has been obtained by using HAM (Homotopy Analysis Method) which is frequently used for solving nonlinear differential equations encountered in various applied sciences and is found quite useful. Favorable comparison with previously published research papers is performed to show the correlations for the present work. Skin friction coefficient and Nusselt number are presented through tables which describe the verification for the achieved results showing that the thin liquid film results from this study are in close agreement with the results reported in the literature. The physical influences of all the emerging parameters on velocity and temperature fields have been studied graphically and illustrated clearly. The authentication of the present work has been achieved by evaluating the comparison of HAM solution with the numerical method solution. Results achieved by HAM and residual errors are also discussed numerically and graphically. Keywords: Thin film, Second-grade fluid, Porous medium, Heat transfer, Homotopy analysis method, Numerical method