Nonlinear approximation for mixed convection flow near a vertical porous plate with combined effects of nonlinear thermal radiation and exponentially decaying internal heat generation

Abstract This study considered a dynamic feature of mixed convection flow from a vertical porous plate with the combined effects of nonlinear thermal radiation and exponentially decaying heat generation. The importance of the nonlinear density variation with temperature (NDT), suction/injection, and convecting heating is also analyzed. The reduced ODEs are solved numerically through Runge‐Kutta Ferhlberg fourth‐fifth order in Maple 2022 software. The results obtained show that, by increasing the strength of the mixed convection process, the internal heat generated covects away lesser fluid particles and hence enhances the rate of heat flowing from the porous plate for both suction/injection scenarios. For weak particle suction/injection, the heat flowing from the porous plate into the free stream region increases at a higher internal heat generation parameter. At a higher Prandtl number, lesser fluid is accumulated in the boundary layer, which in turn decreases the plate shear stress. For weak convection and suction/injection effects, the rate at which the heat flowing from the plate into the free stream increases with convective heat transfer propagation. Suction propagation decreases the boundary layer thickness, which consequently enhances the heat transfer rate, whereas the opposite is true for injection.