Magnetohydrodynamic mixed thermo-bioconvection in porous cavity filled by oxytactic microorganisms

Abstract

This article describes the steady magnetohydrodynamic mixed thermo-bioconvection in a square enclosure filled with a homogeneous and isotropic porous medium in the presences of oxytactic microorganisms. The model used for the oxytactic microorganisms is based on a continuum model of a suspension of oxytactic microorganisms. The mixed convection is resulting for the interaction between the buoyancy force and the moving of the top wall of the cavity with constant speed. The horizontal walls of the cavity are considered to be adiabatic while the vertical walls are differentially heated. The governing equations are solved using the finite volume method with SIMPLE technique. Comparisons with previously published works are performed and found to be in excellent agreements. It is found that the increase in both Richardson and Hartmann numbers reduces the average Nusselt and Sherwood numbers.