Numerical simulation of local thermal non-equilibrium effects on the flow and heat transfer of non-Newtonian Casson fluid in a porous media

Abstract The energy/heat and diffusion/mass flux occurred due to chemical potential and temperature gradient, respectively have worth in the areas of electrical power generation, solar power technology, chemical engineering, petrology, nuclear waste disposal, hydrology, high temperature processes and geoscience. In connection to this, Soret and Dufour effects on steady, incompressible, laminar flow of non-Newtonian Casson liquid over a stretching sheet in a porous medium under local thermal non-equilibrium (LTNE) conditions have been theoretically investigated in the presence of Stefan blowing and magnetic effects. The energy equations are formulated by using the LTNE, which establishes the separate temperature profiles for both fluid and solid phases. The governing equations for the flow arguments are reduced by selecting suitable similarity transformations, which are then numerically solved using the traditional Runge-Kutta- 4 (RK-4) with shooting method. The flow features in reply to the impact of the emerging parameters are inspected in detail graphically. The significant outcomes of the current study are that, the rise in values of magnetic and porosity parameters decays the velocity but improves the heat transfer. An upsurge in Dufour number decreases the heat transfer rate of both solid and liquid phases. The upsurge in Soret number diminutions the mass transfer rate.