MAGNETOHYDRODYNAMIC SLIP FLOW FOR WILLIAMSON FLUID CONTAINING GYROTACTIC MICROORGANISMS FLOW OVER TWO BOUNDARY CONDITIONS

The consequences of differing features in magnetohydrodynamic Williamson fluid flow, which involves gyrotactic microorganisms, are examined in this research under two distinct boundary conditions: a melting surface and a permeable stretched sheet. In addition to variables such as temperature, concentration, first- and second-order velocity, microbe slippage, porous media, and nonlinear chemical processes, it accounts for various Prandtl and Schmidt values for both mass and gyrotactic microbes. By transforming the governing partial differential equations for the momentum equation, heat equation, mass, and microorganism equations into nonlinear coupled ordinary differential equations, the study examines the effects of physical factors on velocity, heat, mass, and microbe profiles. The bvp4c solver is then used to solve these equations numerically. The results show that the porosity parameter and magnetic field parameter have a negative effect on the velocity profile and momentum boundary layer thickness, whereas they have a favorable effect on the thermal heat transfer rate, concentration rate, and microorganism boundary layer thickness.