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 *
Doon University, Dehradun - 248001, Uttarakhand, India.
Madan Singh Rawat
HNB Garhwal University, Srinagar, Garhwal - 246744, Uttarakhand, India.
Ajay Kumar
HNB Garhwal University, Srinagar, Garhwal - 246744, Uttarakhand, India.
*Author to whom correspondence should be addressed.
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.
Keywords: Magnetic, Darcy, velocity slip, inclination parameter, Casson fluid, Forchheimer parameter, power index parameter.