A Magnetohydrodynamics Casson Nanofluid Flow Induced by Three Dimensional Permeable Stretching Surface: A Mathematical Approach

Abstract

The present study describes the 3D magnetohydrodynamic flow over a permeable stretched surface in the presence of nanoparticles in Casson fluid. Extended Buongiorno’s replica has been implemented in the current research. To study the nanofluid model, Brownian motion and thermophoresis impacts are used in recent research. Similarity solutions are implemented to get the final set of ODE’s. To solve the system of equations, RKF algorithm has been used to calculate numerical results by following Shooting technique using ODE45 solver. The outcomes are computed using the MATLAB software. The motive behind to do this research is to analyze the impact of controlling fluid parameters, especially stretching ratio parameter , Lewis number , thermophoresis , Brownian motion , Prandtl number , Casson parameter  over three-dimensional stretching surface. To calculate results for quantities of interest, contour plots, and tables are drawn. The final results are compared with existing literature, and a very good convergence has been noticed for the current research.