Effect of Variable Fluid Properties on MHD Mixed Convection Flow of Second-Grade Fluid Over a Linear Heated Stretching Sheet with a Convective Boundary Condition

Abstract

An analysis has been carried out to study the effect of variable fluid properties on MHD mixed convection flow of second-grade fluid flowing along an infinite stretching sheet with convective boundary condition. The fluid is placed on an infinite heated elastic surface with linear stretching rate and a vertical velocity component due to suction at the sheet is considered. The combined effects of inertia, viscous, visco-elastic, and magnetic forces are analyzed. The basic equations governing the flow, heat transfer, and mass transfer are reduced to a set of nonlinear ordinary differential equations by using appropriate similarity transformations for velocity, temperature, and concentration. The fluid viscosity is assumed to vary as an inverse linear function of temperature, whereas the thermal conductivity as a linear function of temperature. These equations are solved numerically and the results for velocity, temperature, concentration, skin friction, local Nusselt number, and local Sherwood number are discussed using flow parameters. The investigation reveals that Joule heating and viscous dissipation enhance the temperature profile, and there are considerable effects in the presence of variable fluid properties. Comparison with previous studies shows good agreement as a special case of the problem.