VARIABLE THERMAL CONDUCTIVITY AND VISCOSITY EFFECTS ON THIN FILM FLOW OVER AN UNSTEADY POROUS STRETCHING SHEET

Abstract

The aim of our current investigation is to examine, heat and mass transfer rates of thin liquid film, considering a permeable stretching sheet. In this study, we assume that the medium is porous, the sheet is unstable, and the flow is two-dimensional with nonlinear radiation, variable viscosity, and variable thermal conductivity. Similarity variables are used to convert partial differential equations (PDEs) into dimensionless ordinary differential equations (ODEs), which are solved numerically by Runge-Kutta-Fehlberg (RKF45) method along with shooting technique. MATLAB R2017a is used to illustrate the effects of unsteady, magnetic field, permeability, radiation, suction, temperature ratio, and chemical reaction parameter on velocity, temperature, and concentration profiles. Numerical values of physical quantities are provided in tabular form. The velocity profile tends to diminish as the permeability parameter increases. Our current results show great agreement with the previously reported investigations.