Magnetohydrodynamics Williamson Fluid Comprising Gyrotactic Microorganisms Flows Through a Permeable Stretching Layer with Variable Fluid Properties

The present study shows the impacts of Williamson fluid with magnetohydrodynamics flow containing gyrotactic microorganisms under the variable fluid property past permeable stretching sheet. Variable Prandtl number, mass Schmidt number, and gyrotactic microorganisms Schmidt number were all considered. The momentum, energy, mass, and microorganism equations’ governing PDEs are converted into nonlinear coupled ODEs and numerically solved with the bvp4c solver using suitable transformations. The main outcome of this study is that Williamson fluid parameter constantly decreases in velocity profile, however reverse effects can be shown in temperature profile. Also, M parameter and Kp parameter enhance the heat transfer rate, concentration rate and microorganisms boundary layer thickness but declines in momentum boundary layer thickness and velocity profile. The aim of this research is to see how velocity slide, temperature jump, concentration slip, and microorganism slip affect MHD Williamson fluid flow with gyrotactic microorganisms over a leaky surface embedded in spongy medium, with non-linear radiation and non-linear chemical reaction.

Study the Effect of Chemical Reaction and Magnetic Field on Free Convection Boundary Layer Flow of Heat and Mass Transfer with Variable Prandtl Number

The present problem is focused on the free convection heat and mass transfer flow of an electrically conducting incompressible viscous fluid about a semi-infinite vertical plate by the effect of chemical reaction and magnetic field under the action of heat absorption and variable Prandtl nnumber. The governing partial differential equations are transformed to ordinary differential equation by applying local similarity transformation. Then the dimensionless ordinary differential equations are solved using shooting iteration technique along with Runge-Kutta integration scheme. The effects of magnetic parameter and chemical reaction parameter with variable Prandtl number on velocity, temperature and concentration profiles are discussed numerically and shown graphically. Therefore, the results of velocity field decreases for increasing values of magnetic parameter and chemical reaction parameter in both air and salt water. The temperature field decreases in the presence of magnetic parameter but increases for chemical reaction parameter in case of air and salt water. Also, the concentration profile is slightly increased for increasing the values of magnetic parameter but significant decreasing effect are observed for reaction parameter. Finally, the numerical values of the shear stress, rate of temperature and rate of concentration are also shown in a tabular form.