Modeling of MHD fluid flow over an unsteady stretching sheet with thermal radiation, variable fluid properties and heat flux

Abstract

This work considers the problem of boundary layer laminar flow and heat transfer for MHD fluid due to an unsteady stretching sheet with extended heat flux. Both the viscosity and thermal conductivity are assumed to vary with temperature. The equations governing the proposed problem which in partial forms are reduced to a system of coupled non-linear ordinary differential equations using suitable dimensionless transformations. An effective shooting method coupled with the Runge–Kutta algorithm is used to solve the resulting system of ordinary differential equations. The influences of different governing parameters on the dimensionless velocity and temperature profiles are depicted graphically and analyzed in detail. Additionally, the current numerical results obtained via shooting method with the results have been compared with the existing published work in the literature review and good agreements were observed.