Influence of Lorentz Force and Thermal Radiation on Heat Transfer of Nanofluids Over a Stretching Sheet with Velocity–Thermal Slip

Abstract

This article is concerned with the study of two-dimensional hydromagnetic flow of nanofluids over a stretching sheet with thermal radiation effects under the influence of velocity and thermal slip boundary condition. Three types of of nanofluids, namely the copper–water, the Alumina–water and the Titanium-dioxide water are considered. The resulting coupled nonlinear differential equations are solved numerically by a fifth-order Runge–Kutta–Fehlberg (RKF45) integration scheme with a shooting technique. Good agreement are observed between the present numerical results and the available results in the literature review for some special cases. The effects of magnetic field, thermal radiation, velocity slip and thermal slip at the boundary are considered here. The influence of different parameters on the dimensionless velocity, temperature, skin friction coefficient, and local Nusselt numbers is explored and presented in the form of graphs and interpreted physically. The results obtained reveal that the effects of velocity slip to decrease velocity and increase the temperature profiles whereas the effects of increase in the thermal slip condition is to decrease the temperature profiles.