Navier's slip condition and magnetic field effects on unsteady stagnation point flow subject to a stretched plate along to viscous dissipation and Joule heating utilizing nanofluids

Abstract

This article mainly addresses Navier's slip boundary condition impact on two-dimensional, unsteady magneto hydrodynamic flow of electrically conducting viscous nanofluids adjacent to stagnation region due to a stretchable wall along to viscous dissipation and Joule heating. Nanofluids are taken namely silver-water, copper-water, titanium dioxide-water and alumina-water. Transformation procedure applied reduces the set of nonlinear partial differential equations into a system of nonlinear ordinary differential equations. Resulting governing boundary layer equations are numerically solved by establishing a Keller-box method. Effects of different nanofluids, stretching parameter, slip parameter; solid volume fraction, unsteadiness parameter, magnetic parameter and Eckert number on velocity and temperature distributions are illustrated via graphs and explained in details. Computational values of local skin friction and local Nusselt number for influences of specified parameters are found out and indicated in tabular mode. Moreover, dual solutions exist by cause of negative values of unsteadiness parameter in fluid flow, fluid temperature, wall shear stress and wall heat flux.