Magnetohydrodynamic and radiation effects on stagnation-point flow of nanofluid towards a nonlinear stretching sheet

Abstract

Magnetohydrodynamic and radiation effects on stagnation-point flow of nanofluid towards a nonlinear stretching sheet under the assumption of a small magnetic Reynolds number have been studied. Sheet is stretched with a power law velocity in the presence of a non-uniform magnetic field <i style="mso-bidi-font-style:normal">B</i>(<i style="mso-bidi-font-style:normal">x</i>) applied in a transverse direction. A nonlinear problem is modelled using the modified Bernoulli's equation for an electrically conducting fluid. Appropriate similarity transformations are used to reduce the governing nonlinear partial differential equations into a system of ordinary differential equations. These equations subjected to the boundary conditions are solved numerically by using the Keller-box method. Numerical results are plotted and discussed for pertinent flow parameters. A comparison with previous results in literature is also provided. The boundary layers are found shortened when free stream velocity is greater than stretching velocity.