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Research Article Open access CC BY 4.0

Numerical Analysis of the Flow of a Casson Fluid in Magnetic Field over an Inclined Nonlinearly Stretching Surface with Velocity Slip in a Forchheimer Porous Medium

Bhim Sen Kala, Madan Singh Rawat, Ajay Kumar

Asian Research Journal of Mathematics · pp. 34–58 · Published 30 May 2020

10.9734/arjom/2020/v16i730201

Abstract

In this work, we have studied a magnetohydrodynamic, Casson fluid flow with velocity slip over an inclined nonlinearly stretching surface in Non-Darcy porous medium, numerically. In the mathematical model, we have transformed the momentum equation, energy equation and mass concentration equations to non-dimensional ordinary differential equations using similarity variables. We have solved the equations numerically by bvp4c using MATLAB for the numerical computation, and took  and axes so that figures are clearly visible. We have discussed and analysed the magnitude of the velocity, temperature, concentration, Local Skin friction, Local Nusselt number and Local Sherwood number using their representative parameters and the effects of these parameters on the respective boundary layer regions using graphs, figures and tables.

Magnetic Darcy velocity slip inclination parameter Casson fluid Forchheimer parameter power index parameter.

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