Numerical simulation of bioconvection non-Newtonian MHD fluid flow on porous and extending wedge

Bioconvection is the study of the movement of microorganisms in a specific direction. In this paper, the effects of bioconvection and thermal radiation on the transport of nanofluid along a permeable wedge stretched by magnetic force are studied. Appropriate similarity transformation variables are used to convert the governing equations into ordinary differential equations. The transformed nonlinear ordinary differential equation system is solved numerically using the fifth-order Runge-Kutta method. Numerical solutions for the fluid velocity and velocity gradient, fluid temperature and temperature gradient, surface friction coefficient, and Nusselt number are obtained under the influence of different unsteady parameters. The computer code has been validated by comparing the temperature changes of nanofluid with numerical data from published papers, and a good agreement has been observed. The results show that with the increase in the unsteady parameter, the temperature value decreases. Also, with the increase in the unsteady parameter, the concentration of microorganisms and nanoparticles decreases. With increasing the unsteady parameter from zero to one, the surface friction coefficient increases by 112% and the Nusselt number increases by 77%, and their change is directly related to the unsteady parameter.