Soret, Dufour and Chemical Reaction Effects on Convective Heat and Mass Transfer over a Stretching Sheet with Heat Generating Sources: A Lie Group Analysis

Abstract

In this paper we analysed the effects of Soret, Dufour and Chemical reaction on convective heat and mass transfer of an incompressible, electrically conducting fluid over a stretching sheet in the presence of heat generating sources. The similarity solutions are obtained by using scaling transformations. Furthermore, these similarity equations are solved numerically by using shooting technique with fourth-order Runge-Kutta integration scheme. A comparison with previously published work is performed and the results are found to be in good agreement. Numerical results of the local skin-friction coefficient, the local Nusselt number and the local Sherwood number as well as the velocity, the temperature and the concentration profiles are presented for different physical parameters. The result indicates that (i) for fluids with medium molecular weight (H₂, air). Dufour and Soret effects should not be neglected (ii)the thickness of concentration boundary layer enhances in the degenerating chemical reaction case and depreciates in the generating chemical reaction case.

Keywords: Soret and Dufour effects, Chemical reaction, Heat sources, Stretching sheet, Magnetic field, Scaling transformations, Similarity function and Shooting technique.