Slip effects on Magnetohydrodynamic (MHD) flow of Williamson Nanofluid over an Exponentially Shrinking Sheet

Abstract

In present study the impacts of velocity, thermal and concentration slip boundary conditions of the Williamson nanofluidon the Magnetohydrodynamic (MHD) flow, heat and the mass transfer over a shrinking surface are considered. The magnetohydrodynamic flow is considered in absence of thermal and Joule heating. Using of appropriate similarity transformations, the partial differential equations of the boundary layer have been converted into the ordinary differential equations. To get the required solutions, an efficient Runge-Kutta 4th order technique with shooting method has been utilized in maple programming. In order to check the method precision, we compare our results with published literature and observed to be in excellent agreement. Numerically Gotten solutions have been displayed in form of tables and graphs for a numerous values of flow pertinent parameters, such as, Hartmann number, Schmidt number, thermophoresis and Brownian motion parameter. Furthermore, many other parameters like of non-Newtonian Williamson parameter with slip boundary condition, Prandtl number, Schmidt number and suction parameter have been examined graphically. At long last, the result of the problem is composed as a conclusion in light of the tables and plotted graphs.