MHD Casson fluid in a suspension of convective conditions and cross diffusion across a surface of paraboloid of revolution

Abstract

In this paper, we analyzed the mathematical model of the convective conditions on Casson fluid across a Paraboloid of Revolution (PR) in the presence of pertinent parameters like magnetic field parameter, Soret, and Dufour. We used R-K-Felhberg-integration scheme based shooting technique to solve the modified governing equations and discussed the appearance of curious parameters on the profiles velocity, temperature and concentration profiles in three cases n = 0, n = 0.5 and n = 1 with the aid of plots. We found that the profiles of velocity, temperature, and concentration are non-uniform for all these three cases. Also, we have taken the help of tables to explore the skin friction coefficient, local Nusselt and Sherwood numbers, which are useful for the purpose of engineering interest. It is noticed that the cross diffusion helps to control the thermal, diffusion and momentum boundary layers for all the three cases. The mixed convective conditions are useful in improving the heat and mass transport phenomena. We also validated the present methodology with already existing methodologies under some limited cases. Keywords: Convective conditions, Paraboloid of revolution, Soret and Dufour effects, Magnetic field parameter, Internal heat source parameter