Heat transfer and magneto-hydrodynamic nanofluids flow behaviors past a nonlinear stretching surface considering viscous dissipation and joule heating

Mathematical investigation has been presented to examine the magnetohydrodynamic boundary layer flow of viscous nanofluids bygone a nonlinear stretched plate among cumulative impact of viscous dissipation and joule heating. Physical formulation produced a system of partial differential equations which has been converted into a set of ordinary differential equations through employing suitable similarity variables. For numerical solutions of resulting governing equations of flow, a Keller-box method has been addressed. Results of dimensionless velocity and dimensionless temperature for impacts of various types of nanoparticle along with water base fluid and effects of physical parameters, namely solid volume fraction, nonlinear stretching parameter, magnetic parameter and Brinkmann number have been deliberated via graphs. Additionally, surface shear stress and surface heat flux for selected suitable values of pertinent parameters have been computed and explicated via table.