Heat transfer effects on electro-magnetohydrodynamic Carreau fluid flow between two micro-parallel plates with Darcy–Brinkman–Forchheimer medium

Abstract

This article deals with heat transfer analysis on the Electro-magnetohydrodynamic Carreau fluid flow through a pair of rectangular plates. A Darcy–Brinkman–Forchheimer medium is considered for physical modeling. The flow is induced due to the Lorentz force, which occurs owing to the presence of an extrinsic imposed magnetic and electric field. The solutions are obtained with the help of numerical and semi-analytical/numerical schemes. A differential transform method (DTM) is employed to resolve the nonlinear coupled differential equations. The obtained solutions are discussed and plotted against all the physical parameters, and the Nusselt number is also addressed with the help of the table. The present outcomes are also plotted for the Newtonian fluid model as a particular case. The comparison of DTM is presented with a numerical shooting method for the Nusselt number. It is concluded from the analogy that the DTM method is very adaptive and stable to solve the nonlinear differential equations.