Similarity Analysis of MHD Three Dimensional Nanofluid Flow for Non-Newtonian Power-Law Model over Linearly Stretching Sheet with Convective Boundary Conditions

摘要

In this paper, we had investigated MHD nanofluid flow over a linearly stretching sheet in three dimensions by considering Brownian motion and thermophoresis effect for the non-Newtonian power-law model. A nonlinear system of partial differential equations with convective boundary conditions in the governing equation is converted into the system of ordinary differential equations using deductive two-parameter group-theoretic similarity technique. System of ordinary differential equation with boundary conditions are solved numerically using MATLAB BVP4C coding. The influence of different physical parameters like power-law index, magnetic parameter, Biot number, thermophoresis parameter, stretching ratio parameter, Brownian motion parameter, Lewis number, Prandtl number on concentration, temperature and velocity are investigated with graphical presentation. It is observed that as stretching parameter ratio (b/a) increases, the concentration and temperature of the fluid decrease. Two different behaviours observed for velocity profiles for different power-law indexes.