Abstract
A numerical investigation of magneto-hydrodynamic mixed convection in a square lid-driven cavity filled with gyrotactic micro-organisms is examined. Different magnetic field inclinations are considered and the left wall of the lid-driven cavity is moving up with a constant speed in the vertical direction. The left and right vertical walls of the cavity are assumed to be adiabatic. The top horizontal wall of the cavity is assumed to be kept at features of the solution. Lower temperature, while the bottom horizontal wall is kept in a higher temperature. The developed equations of the mathematical model are put in their dimensionless forms and then solved numerically subject to appropriate boundary conditions by the control finite volume method. Comparisons with previously published works are presented and found to be in excellent agreement. The problem was studied by varying the Richardson number (Ri=0.01-2.0), Rayleigh number (Ra=10(2)-10(5)), magnetic field inclination angle (Phi = 0 degrees-350 degrees), Hartman number (Ha=0-50), and bio-convection Rayleigh number (Rb=10-40). A parametric study is performed and a set of graphical results is presented and discussed to demonstrate interesting.