Analysis of Thermal Radiation and Ohmic Heating Effects on the Entropy Generation of MHD Williamson Fluid through an Inclined Channel

Abstract

In this present work, the heat irreversibility analysis of thermal radiation, Ohmic heating, and angle of inclination on Williamson fluid is presented. The developed equations are converted to dimensionless forms, and Homotopy perturbation method (HPM) is used to solve the resulting coupled ordinary differential equations. The heat irreversibility analysis is achieved by substituting the obtained results into entropy generation and Bejan number expressions. The HPM solution for the velocity profile is validated by comparing it with a previously published study in some limited cases, and an excellent agreement is established. Fluid motion is accelerated by the increasing values of thermal radiation parameter, whereas the magnetic parameter and Reynolds number reduce it. Furthermore, except for the Weissenberg and Prandtl numbers, all of the flow parameters examined enhance fluid temperature. In addition, entropy generation is enhanced at the channel's upper wall for all parameters except magnetic field parameter.