Radiative MHD flow past a vertical melting front with variable temperature

Abstract

In this paper, a study is made on investigating the melting flow and heat transfer characteristics past a vertical plate embedded in a saturated non-Darcy porous medium. To analyze this flow, continuum equations with the combined impact of magnetic field, thermal dispersion, viscous dissipation and radiation along with variable temperature for Newtonian fluids are developed. The flow analysis is carried out for both assisting and opposing situations. The ensuing system of nonlinear ordinary differential equations is solved numerically using R-K method coupled with shooting technique. The ultimate influence of different governing physical parameters on velocity, temperature profiles and heat transfer rates are numerically discussed and also presented graphically. Further, the results obtained from the current analysis are validated by the results of previously published work.