Electromagnetic non-Darcy Forchheimer flow and heat transfer over a nonlinearly stretching sheet of non-Newtonian fluid in the presence of a non-uniform heat source

Abstract

This paper focuses on the study of electromagnetic effects on a non-Newtonian fluid that obeys the Casson model. Non-Darcy Forchheimer Cassson fluid flow and heat transfer are considered over a non-linear stretching sheet in the presence of a non-uniform heat source/generation. The governing foundational equations are first converted into a system of ordinary differential equations utilizing transformation of self-similarity and are then solved numerically by using Mathematica’s package for some physical parameter values. Significant features of flow and heat transfer behaviors are presented and analyzed for various parameter values, especially for magnetic and electric fields. Numerical results for the velocity and temperature profiles for the prescribed parameters are graphically represented as well as the local skin-friction coefficient and local Nusselt number are displayed for specific parameters values to show interesting aspects of the numerical solution with the associated behaviors. It was found that, as the Forchheimer number F increases, the velocity decreases while the temperature increases. The temperature profile and the thermal boundary layer thickness decrease with increasing the electrical parameter.