Magneto-Hydrodynamic Flow of Micropolar Nanofluid Containing Motile Microorganisms Passing over a Vertical Stretching Sheet with Magnetic Field Dependent Viscosity

This study investigates the mixed convection heat transfer characteristics of micropolar nanofluid containing motile microorganisms as it is passing over a stretching sheet. The governing equations of the fluid flow and boundary conditions are solved via similarity analysis using the fourth-order Runge–Kutta method. To verify the accuracy and validity of the method, the results are compared with those of several previous studies. The results are presented in terms of distribution of the velocity, particle micro-rotation, temperature, nanoparticle concentration, and density of motile microorganisms over the stretching sheet. The skin friction, coupled stress, mass transfer rate, and the rate of microorganism transfer away from the sheet are also examined. It can be concluded that the Nusselt number, coupled stress, friction coefficient, and Sherwood number are independent of the bioconvection Lewis number Lb. On the other hand, the rate of motile microorganism transfer away from the sheet to the fluid increases with Lb.