Scaling group analysis of bioconvective micropolar fluid flow and heat transfer in a porous medium

The current and potential applications of bioconvection renewed drive for theoretical research on synthesis and process control in biofuel cells and bioreactors. Thus, this work devoted to solving the problem of free convection in micropolar boundary layer fluid flow and heat transfer past a vertical flat stretching plate within a porous medium. Scaling group of transformation was performed to achieve the appropriate similarity solutions, which was later applied to modify the governing boundary layer system to a nonlinear ordinary differential equations system. The Runge-Kutta method in association with the shooting technique in the Maple software exercised to attain the numerical solutions. There is a strong dependence of momentum transportation on the increment of the Darcy number, the suction/injection parameter and the Grashof number, respectively. The temperature distribution within the thermal boundary layer aided by augmenting the magnitude of the microrotation density.

Automated summary

This research tackles the issue of free convection past a flat plate in a porous medium, utilizing a scaling group of transformation to achieve similarity solutions and numerical methods for solving the problem. The momentum transportation is strongly dependent on the Darcy number, suction/injection parameter, and Grashof number, while the temperature distribution is influenced by increasing microrotation density within the thermal boundary layer.