Magnetohydrodynamics Eyring-Powell fluid in a vertical porous microchannel with convective boundary condition subjected to entropy generation

This investigation is concentrated on the second law analysis of a magnetohydrodynamics Eyring-Powell fluid in a vertical microporous channel with the convective boundary conditions under the impacts of heat generation, viscous dissipation, exponential space, temperature dependence, and Joule heating. The reduced form of the governing equations is obtained with the aid of applying nondimensional variables and is resolved using Runge-Kutta-Fehlberg's fourth fifth-order method. The various relevant parameters that affect the heat transfer and entropy have been discussed in detail through graphs. It is found that the impacts of suction/injection, viscous dissipation, and convective conditions are important and the thermal performance can be improved with these factors. The generation of entropy boosts up with the impacts of radiation, space/temperature-dependent, and Biot number and slows down with Eyring-Powel parameters. Furthermore, the heat transfer rate amplifies with the magnetic number and the drag force intensifies with the Brinkman parameters. The comparison of results has been performed and it provides an excellent agreement.