Three-Dimensional Magnetohydrodynamics Casson Fluid Flow Past a Non-Linearly Stretching Surface with Nanoparticles

Abstract

This article, the three-dimensional flow of a casson fluid over a non-linearly stretching surface by bilateral directions along the xy-plane under boundary layer approximation is estimated. We have considered the the effect of magnetohydrodynamics (MHD) and the condition of natural convective over the stretching surface. Moreover, The influences of boundary condition at temperatures and nanoparticles in motion are thermophoresis, Brownian motion and radiation are considered. The method of solved equation by using the appropriate transformations, the system non-linear partial differential equations along with the boundary conditions is transformed into coupled non-linear ordinary differential equations. The numerical solutions of the mathematics formulated equations are solved by using a Runge–Kutta method with a shooting technique. The new obtained results are checked with previously published work for special cases of the problem in order to access the accuracy of numerical method and the convergency between are found to be in excellent agreement through ratified by tabular results. The emerging parameters behavior are discussed graphically in the form of velocity, temperature and fraction of nanoparticles. The number of Nusselt and number of Sherwood are calculated by numerical computations solution are expressed by tabular results. We have observed that the assignment denoted by parameters characteristics have significant effect on flow, transfer of heat and mass. Generally, The results are expressed by graphically, in tabular form and the physical aspects of the problem are determined.