On magnetohydrodynamics Powell–Eyring fluid with Cattaneo–Christov heat flux over a curved surface

Abstract

This study explores the effects of thermal and magnetohydrodynamics (MHD) on Powell–Eyring fluid with the Cattaneo–Christov heat flux over a curved surface. The mathematical framework regarding the physical problem turn out to a set of nonlinear partial differential equation. The set of governing equations are first reduced into nonlinear ordinary differential equations via appropriate transformations and then analytical solutions of resulting nonlinear differential equations have been obtained by optimal homotopy asymptotic method. The influence of involved parameters such as magnetic parameter, fluid parameter, thermal relaxation parameter, curvature parameter, relaxation parameter, Grashof number, material parameter and Prandtl number are discussed and analyzed in tabular as well as in pictorial form. Finally, a comparison with the existing literature is prepared and an excellent agreement is seen.