Numerical Exploration of Soret and Dufour Effect on Unsteady Free Convective Radiating Nanofluid Past a Vertical Moving Porous Plate

Abstract

The present paper deals with the numerical investigation of Soret and Dufour effect on free convective heat and mass transfer characteristics of radiating water based nanofluid past a vertically moving porous plate in porous medium. The water based nanofluid with copper as a nanoparticle is considered in the present study. The dimensional governing equations relevant to the present model are transformed into non-dimensional form by using the appropriate parameters. The non-dimensional governing equations with the pertinent boundary conditions are solved numerically by using bvp4c function in Matlab software. The influence of suitable parameters on fluid velocity, temperature, concentration, Sherwood number (rate of mass transfer), Nusselt number (rate of heat transfer) and skin friction are exhibited graphically and discussed. Also, the effect of radiation parameter and Prandtl number in the absence of Dufour number has been compared with the help of contours. It is apparent from this study that fluid velocity increases with the increase in K, ,  & Du and decreases with increase in  The fluid temperature increases with the increase in Du & R while it decreases with Pr. The fluid concentration increases with increase in  whereas it decreases with . The rate of mass transfer (Sherwood number) increases with increase in Du and decreases with increase in &  while the rate of heat transfer (Nusselt number) increases with increase in Du & Pr and decreases with increase in R. Shear stress (skin friction) decreases with the increase in , , K & Du.