Nonlinear Hydromagnetic Flow with Radiation and Heat Source over a Stretching Surface with Prescribed Heat and Mass Flux Embedded in a Porous Medium

Abstract

Hydromagnetic steady, laminar, boundary layer flow of a viscous, incompressible electrically conducting gray fluid with radiation heat transfer and mass transfer over a stretching surface with prescribed heat and mass flux embedded in a porous medium subject to suction in the presence of a uniform transverse magnetic field is analyzed in the presence of heat source. Exact solution of the equation of momentum is obtained. Nonlinear equations for energy and species concentration are transformed to nonlinear ordinary differential equations by introducing suitable similarity variables and the resulting nonlinear ordinary differential equations are solved using confluent hypergeometric functions by the usage of suitable transformations. The effect of radiation, magnetic field, porosity, permeability, Prandtl number, Schmidt number, heat source parameter, heat flux parameter, mass flux parameter over the flow field and other physical quantities are discussed with the help of numerical values by means of graphs.