Unsteady Non-isothermal Flow of Powell-Eyring Fluid through a Porous Medium with Thermal Radiation

Abstract

This paper examines the impact of various physical parameters related with the non-isothermal flow of Powell-Eyring fluid in the  presence of thermal radiation through a porous medium. Similarity variables were introduced to transform the governing partial  differential equations into a system of nonlinear ordinary differential equations (ODEs). Galerkin weighted residual approach was  employed to solve the resulting nonlinear ODEs numerically. Maple 18 software was used to implement this technique. The results of the  analysis demonstrated that the flow system is significantly impacted by the thermal radiation parameter, variable thermal conductivity  parameter, and variable viscosity parameter. The influence of several physical characteristics on the flow system was discussed and  represented graphically.