A Numerical Experiment on Thermo-fluidic Transport of Third-Grade Fluid Flow Through a Porous Microchannel Under the Influence of Combined Electromagnetohydrodynamic Effect

A theoretical investigation is done to analyze the thermo-fluidic transport features of (electromagnetohydrodynamic) EMHD flow of third-grade fluid in a microchannel through a porous medium. The viscous dissipation and Joule heating are considered to analyze the thermal characteristics for this flow through microchannel with porous medium impregnated by third-grade fluid. The reduced governing equations which are becoming highly nonlinear due to considering third-grade fluid are solved numerically to obtain the solutions for velocity and temperature distributions. The novel results show that the unknown Nusselt number (Nu) has been derived from bulk mean temperature to control the rate of heat transfer by applying suitable strength of the magnetic field and electric field. The significant effects of momentum and thermal transport phenomenon within the porous microchannel for various physical factors such as Hartmann number, Darcy number, transverse electric field, non-Newtonian parameter are elaborated in this work.