Homotopy Analysis Method for an Influence of Dufour-Soret and Melting Process on Magnetohydrodynamic Boundary-Layer Flow towards a Wedge in an Eyring Powell Fluid

Abstract

Objectives: The present study investigates the chemical reaction of first-order and Dufour-Soret impact on the magnetohydrodynamic flow of boundarylayer non-Newtonian Eyring Powell fluid across a wedge by taking into account the radiation and melting process. The motion of the fluid is presumed to be incompressible and laminar. Significantly, the presence of the melting process and Dufour-Soret influence the characteristics of mass and heat transfer of the fluid flow. Methods: The governing equations are constructed and modified into non-linear, coupled ODEs by utilizing similarity variables and then solved by Homotopy Analysis Method (HAM) based BVPh 2.0 Mathematica package. Findings: The velocity, thermal, and concentration profiles are illustrated through graphs and Nusselt number, Sherwood number, and skinfriction coefficient values are shown via tables for varying values of emerging parameters. Results disclosed that the velocity decays with increasing values of fluid parameters (d ;a). It was observed that larger values of Soret parameters (Sr) and Dufour parameter (Dr) increased the concentration and thermal, respectively. It is scrutinized that the velocity suppresses due to extending values of melting parameter (c). Novelty: An incorporation of Soret -Dufour and melting process impact in a non-Newtonian fluid flow across wedge under a magnetic field is novel in the model. Keywords: Dufour Soret; Eyring Powell fluid; Magnetohydrodynamic; Melting process; Thermal radiation; Wedge