New insight into gyrotactic microorganisms for bio-thermal convection of Prandtl nanofluid over a stretching/shrinking permeable sheet

The use of nanoparticles, has become increasingly utilized for medical applications and is of great interest as an approach to killing or reducing the activity of numerous microorganisms. The motivation of the present study is to scrutinize the impacts of magnetic field, radiation and chemical reaction on non-Newtonian Prandtl fluid containing gyrotactic microorganisms and nanoparticles. The governing nonlinear partial differential equations are decreased to nonlinear ordinary differential equations using appropriate similarity transformation. Our system of equations are solved numerically by using Rung-Kutta-Merson method with Newton iteration in a shooting and matching technique. The impacts of various parameters on velocity, temperature, nanoparticles concentration and density of motile microorganisms for suction (f(w) > 0), injection (f(w )< 0) and the case of impermeable plate surface (f(w) = 0) have been made.