Chemical reactions and heat generation influence on mixed convection flow with gyrotactic microorganisms over a non-isothermal horizontal surface

Abstract The goal of this research is to look at two dimensional steady free forced convective flows through a horizontal surface surrounded by a permeable medium with exponential decaying heat generation and chemical reaction. For describing non–isothermal phenomena power law exponent has been considered in boundary conditions. By imposing appropriate transformations, the nonlinear partial differential equations driving the flow, temperature, concentration, and microbe fields are reduced to a system of ordinary differential equations and numerically solved by MATLAB 14.0. Excellent compatibility has been discovered between our optimized results and the already-published literature when compared for validation. The velocity, temperature, concentration, and microbe profiles are reduced by the power law exponent, which shows fluctuation in wall temperature and concentrations. Lewis parameter Le has a significant impact on concentration. The bioconvection peclet number Pe and the Lewis parameter Lb both significantly affect the profile of microorganisms. The influence of internal heat generation and chemical reaction can cause heat and mass transfer rates to increase, but slow down the transfer rate of motile microorganisms. For regions of forced convection, all flow profiles and flow transfer rates increase whereas they drop for regions of pure mixed convection.