MHD Casson Fluid Flow in Stagnation-Point over an Inclined Porous Surface

Abstract

Motivated by the need to comprehend and optimize complex fluid flow phenomena in various engineering and industrial applications, this paper investigates the magnetohydrodynamic (MHD) Casson fluid flow characteristics in the vicinity of a stagnation point over an inclined porous surface. The study addresses the interplay of permeability, viscous dissipation, buoyancy, and volumetric heat source, chemical reaction of the diffusion species, thermal slip, and obliqueness at the bounding surface. The governing equations are transformed into a dimensionless form using appropriate similarity transformations. The resulting nonlinear ordinary differential equations are solved numerically using the fourth-order Runge-Kutta method, coupled with the shooting technique as coded into the bvp4c solver of MATLAB 2021a. Findings from this study show that instability arises due to reduced velocity at low permeability, and Biot number enhances the Newtonian cooling at the surface, a requirement for the design of heat exchangers.