Impact of Variable Thermal Conductivity and Viscosity on Powell-Eyring Fluid in the Presence Of Thermal Radiation through a Porous Medium

Abstract

This work uses a mathematical model to investigate the impact of physical factors on the non-isothermal flow of Powell-Eyring fluid with variations in thermal conductivity and viscosity through a porous medium. The governing equations defining the flow, mass, and energy transfer issue are converted into nonlinear ordinary differential equations via selected transformation variables, and the resultant problem is numerically solved using the Galerkin weighted residual technique. This approach is implemented with Maple 18 program. The examination of the findings revealed that the radiation parameter, variations of thermal conductivity, and viscosity characteristics had a substantial impact on the flow system. This presentation includes a visual picture and explanation of how different physical characteristics affect the flow system.

Keywords

• Thermal conductivity; varying viscosity; Powell-Eyring Fluid; heat radiation; porous media