Magnetohydrodynamic Radiative Casson Fluid Motion Past a Convectively Heated and Slippery Non-linear Permeable Stretching Plate

Abstract

This study examines the impact of thermal radiation with convective heating on magnetohydrodynamic (MHD),
incompressible and viscous flow of non-Newtonian Casson fluid along a non-linear permeable stretched device. In
engineering and manufacturing operations such as hot rolling, textile and paper processing, plastic and rubber sheet manufacturing, the assessment of an electroconductive fluid movement along a permeable stretching surface is commonly applicable. A relevant similarity transformation has been employed to transmute the non-linear differential system with its associated boundary conditions from partial to ordinary differential equations. Afterwards, shooting technique alongside Runge-Kutta method of order four was applied to obtain numerical solutions to the set of the transport equations. Validation of the generated results with past data in the literature in respect of skin friction coefficients and Nusselt number demonstrated great agreement under limiting situations. Likewise, the reactions of disparate emerging terms as regards to the velocity and temperature profiles are propounded and depicted in graphical forms. The findings of this study are that the fluid motion can be reduced by raising magnetic field and Casson fluid parameters whereas the heat transfer can be improved by a hike in thermal buoyancy force and Prandtl number.