Heat Irreversility of Hydromagnetic Williamson Flow Through an Inclined Channel Subjected to Thermal Radiation and Ohmic Heating

In this present work, the heat irreversibility analysis of Williamson fluid accounting for the effects of thermal radiation, Ohmic heating and angle of inclination is presented. The developed momentum and energy equations are converted to dimensionless forms, and Homotopy perturbation method (HPM) is employed to obtain the solutions of the resulting coupled system of differential equations. The heat irreversibility analysis is achieved by substituting the obtained results into entropy generation and Bejan number expressions. The results from the solutions of the HPM for the velocity and temperature profiles are verified by comparing with the exact solutions and excellent agreement are established. Fluid motion is accelerated by the increasing values of angle of inclination and thermal radiation parameter, whereas magnetic parameter and Reynolds number reduce it. Furthermore, with the exception of 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 heat radiation. Weissenberg number and magnetic field parameter enhance skin friction and Nusselt number, although Reynolds number and Prandtl number decrease.