Time-Dependent Magneto-Convective Thermal-Material Transfer by Micropolar Binary Mixture Fluid Passing a Vertical Surface

Abstract

Time-dependent magneto-convective thermal-material transport by micropolar binary mixture passing a vertical permeable surface with chemical reaction, radiative heat transfer and thermophoresis has been studied numerically. The findings of this study have significant industrial applications in the production of molten polymers, pulps, fossil fuels, and fluids containing certain additives, etc. Applying the similarity analysis together with Boussinesq estimate, the governing PDEs have been modified into ODEs. These equations have been solved by applying shooting technique with the help of “ODE45 MATLAB" software. The results of the numerical solutions of the problem involving velocity, temperature, concentration and micro-rotation are presented graphically for different dimensionless parameters and numbers, namely magnetic intensity, Damköhler number, thermophoresis, temperature dependent dynamic viscosity, thermal radiation, thermal Grashof number, solutal Grashof number, Prandtl number and Schmidt number. The magnetic intensity affects the velocity field only in the increase-decrease mode. An increase in Damköhler number and thermal radiation significantly enhances the velocity fields while interrupting the rate of heat transfer within the boundary layer. The temperature dependent dynamic viscosity greatly enhances the velocity of the fluid but reduces the micro-rotation of the particles very near to the wall. Also, the increase of Prandtl number lessens conduction of heat while increasing the micro-rotation of the particles noticeably very adjacent to the surface.