Soret and Dufour effects of Bingham plastic fluid flow over a solar radiative heat flux

Abstract

The main concern of current study is the analysis of entropy generation impact on incompressible boundary layer flow near an inclined rough rotating disk by assuming flow characteristic of Bingham plastic material. Variable fluid properties and radiative heat flux are considered under the entropy generation. We presented the solutions for fluid, heat and mass transfer phenomenon that causes large effect on Bingham plastic model. The similarity variables, first initiated by Von-Kàrmàn for viscous fluid is used for Bingham fluid which effectively converted boundary layer equations into ordinary differential equations. The RK-five approach, in conjunction with Cash and Karp, is used to get numerical solutions to the resulting equations. Next utilising the production data, the entropy data are explored by using theoretical and numerical approaches. Tables and figures are used to display the numerical results. The results reveals that the Bingham number reduces the base flow radial velocity and intensify the azimuthal velocity. The thermal and solutal Grashof numbers rises the both the azimuthal velocity. The increment in temperature distribution is observed due to radiation parameter and thermal conductivity coefficient. The augmentation in concentration region is observed due to thermal diffusion coefficient and Soret number. We concluded that numerical results calculated here show perfect description of Bingham fluid, mass and heat transfer features based on Soret and Dufour influence near an inclined rotating disk. Entropy generation increases with increase in the values of ${\alpha }_1$ parameter, Bingham fluid plastic paramter $Bn$, radiation $R_d$ parameter and $\xi$ parameter.