Weakly nonlinear bio-convection in a porous media under temperature modulation and internal heating

Abstract

This paper investigating the effects of thermal modulation and internal heating on Darcy-Brinkman bio-convection in a Newtonian porous medium containing gyrotactic microorganisms. A weak nonlinear stability analysis is used to analyze the stationary increase. Internal heating causes the system to become unstable and transfer heat more quickly. Both bioconvection and internal Rayleigh numbers (Rb and R i ) are of opposite effects on mean Nu. It is also found that only OPM/LBM are effective on controlling heat transfer than IPM. Additionally, it is found that only OPM/LBM are more successful at regulating heat transport than IPM. Further, it is found that the convective heat transfer process may be delayed, due to asymmetries and irregularities (α ̸ = 0) of microorganisms than spherical-shaped microorganisms (α = 0).