Influence of heat generation on magnetohydrodynamic (MHD) flow using a theory of kinetics for liquids

Abstract

In the present article, the influence of heat generation on the magnetohydrodynamic (MHD) flow of an Eyring–Powell fluid along a permeable plate has been explored. The influence of heat generation or absorption on a steady flow of non-Newtonian fluid over a surface is investigated. The governing equations obtained from Eyring–Powell fluid model are transubstantiated into ordinary differential equations using suitable transformations. Along with the Runge–Kutta method, we attained a numerical solution of the present problem by explicating the shooting technique. Influences of distinct parameters on temperature and the velocity field profiles are highlighted in graphs and tables. The acceleration in the value of γ, velocity profile shows decreasing behavior, but recovery occurs with an increase in M. The streamlines and three-dimensional results have been shown graphically for a selection of different parameters. Numerical results of the present work have been discussed with the support of tables.