The Combined Impact of Thermal Radiation and Thermophoresis on Buoyancy-Driven Flow Near an Inclined Porous Plate

Abstract

This report presents a similarity solution for the buoyancy-driven flow of viscous incompressible fluid past an inclined porous plate influenced by nonlinear thermal radiation and thermophoresis. The boundary layer equations are reduced to some set of ODEs through similarity variables. Furthermore, the ODEs are converted to IVP through the shooting technique. The numerical solution is obtained through the Runge–Kutta algorithm in Maple software. The impact of the emergence parameters present in the mathematical model is explained through graphs and tables. Results obtained showed that with combined effects of suction/injection and nonlinear thermal radiation, the heat transfer rate is directly proportional to the angle of inclination but inversely proportional to plate shear stress and mass transfer rate. Furthermore, it was observed that the heat transfer rate declines with higher buoyancy force but enhances the plate shear stress. Also, the mass transfer rate could be enhanced with a higher thermophoresis effect. Suction propagates the velocity and temperature profiles whereas it decreases the rate of particle concentration, while the contrast is true for injection. In addition, nonlinear thermal radiation complements the fluid temperature, particle concentration, and fluid transport.