Exploring MHD Effect on Erying-Powell Nanofluid Through Porous Media Under The Influence of Slips

Objectives: This study aims to investigate the first and second order slip effects, thermal and solutal convective conditions of the magnetohydrodynamic (MHD) flow behaviour of Erying-Powell nanofluid through a porous stretching sheet, taking into account the presence of Casson fluid particles. Method: The primary governing equations are a collection of nonlinear partial differential equations that have been similarly transformed into sets of nonlinear ordinary differentials of nanofluid motion, energy, and concentration along with the boundary conditions by using similarity transformations. These equations are numerically solved by using an implicit finite element method. Findings: This study reveals the influence of various factors on velocity, temperature, and concentration profiles and it is observed that the presence of velocity diminishes with the increasing values of magnetic field parameter, Casson fluid parameter and second order slip parameter while increases the velocity with Eyring Powel parameter and first order slip parameter. Thermophoesis parameter (Nt) shows the same effect on both temperature and concentration profiles whereas Brownian motion (Nb) parameter demonstrates opposite effect with the increment values in Nt, Nb. Tabular data is used to offer detailed information on skin friction, heat rate, and mass transfer coefficients. Novelty: The uniqueness of this study lies in its comprehensive analysis of the combined effects of MHD, slip, and Casson fluid behaviour on the flow of Eyring-Powell nanofluid through pours medium and heat transfer characteristics. The findings provide valuable insights into the complex interactions between these factors also this study will pave the way for future finite element method software implementation and offering new perspectives and potential applications in various engineering and industrial processes involving fluid flow and heat transfer phenomena. Keywords: Powell-Erying fluid, Casson fluid, Magnetic field, Porous medium, First and second order slips, Stretching sheet, Finite element method