Steady MHD Williamson nanofluid flow past an inclined stretching sheet in the presence of heat generation, chemical reaction and aligned magnetic field

Abstract

Numerical investigation on the influence of effective Prandtl number on the steady MHD Williamson nanofluid flow over an inclined stretching surface in the presence of aligned magnetic field, heat generation and chemical reaction is carried out. By applying a suitable similarity transformation, the system of non-linear coupled partial differential equations are converted to a system of non-linear coupled ordinary differential equations. Numerical solutions of these equations are obtained by using MATLAB package, bvp4c. The impact of various parameters on the velocity, temperature and nanoparticle volume fraction, skin friction, Nusselt number and Sherwood number are discussed through the aid of graphs and tabulated data. The numerical computations reveal that the escalating values of the effective Prandtl number suppresses the concentration profile closer to the wall, the temperature profile and the velocity profile. Furthermore, the velocity is largest when both the channel slope and the magnetic field inclination angles are lowest. The inclination angles have opposite effect on the temperature and concentration profiles. Moreover, results show that varying the Eckert number and the magnetic parameter will have no effect on the skin friction coefficient, Nusselt number and Sherwood number whenever the Brownian motion parameter and the thermophoresis parameter have the same value.