Numerical investigation on flow of second grade fluid due to stretching cylinder with Soret and Dufour effects

Abstract

This article presents the analysis of Soret and Dufour effects on two dimensional flow of second grade fluid due to stretching cylinder. It is further considered that the flow is subjected to thermal radiation, which is another aspect of the study. Mathematical model for second grade fluid in cylindrical coordinate system is developed in terms of nonlinear partial differential equations. These modelled equations are first transformed to a system of nonlinear coupled ordinary differential equations after using similarity transformation, and then the solution is computed numerically by using an efficient, accurate and rapidly convergent Keller box scheme for the wide range of physical parameters. The computed results are validated with the existing literature for limiting case. The drag coefficient on surface, heat transfer, and mass transfer rates are analysed through the graphs and tables. It is predicted that the simultaneous increase in Dufour and Soret numbers help to enhance the temperature and the concentration in the boundary layer region around the cylinder, respectively. Also concurrent occurring of increasing Dufour and decreasing Soret numbers on heat transfer and mass transfer rates have opposite effects. Moreover, the radiation effects are elaborated through the variation of effective Prandtl number. The increase in effective Prandtl number results in decrease of the temperature of the fluid.