Radiative and MHD Effects on Time-Dependent Thermal-Material Transfer by Micropolar Binary Mixture

Abstract

Radiation is an important branch of thermal engineering which includes geophysical thermal insulation, ground water pollution, food processing, cooling of electronic components, oil recovery processes etc. An analysis of unsteady magneto-convective heat-mass transport by micropolar binary mixture of fluid passing a continuous permeable surface with thermal radiation effect has been introduced in this paper. The governing equations are transformed into coupled ordinary differential equations along with Boussinesq approximation by imposing the similarity analysis. Applying the shooting technique, the obtained non-linear coupled similarity equations are solved numerically with the help of “ODE45 MATLAB” software. The results of the numerical solutions to the problem involving velocity, temperature, concentration and micro-rotation are presented graphically for different dimensionless parameters and numbers encountered. With an increase of suction parameter, the velocity distributions very closed to the inclined permeable wall decrease slightly where 0 ≤ η ≤ 0.3 . But for the uplifting values of sunction, both micro-rotation profile and species concentration enhance through the boundary layer. The skin-friction coefficient increases about 61%, 13%, 27% for rising values of Prandtl number (0.71-7), radiation effect (0 - 1) and thermal Grashof number (5-10), respectively, but an adverse effect is observed for magnetic field (1 - 4), inclined angle 0 0 − 60 0 and Schmidt number (0.22 - 0.75). Heat transfer and mass transfer reduce about 82%, 53%, respectively, in increasing of Pr (0.71-1) and 36%, 11%, respectively, in increasing of thermal radiation (0 - 1). The surface couple stress increases about 26%, 49%, 64% and 30% with the increasing values of magnetic field (1-4), inclination angle 0 0 − 60 0 , suction (0-1) and Schmidt number (0.22-0.75), respectively. Finally, the present study has been compared with the earlier published results. It is observed that the comparison bears a good agreement.

Unsteady magneto porous convective transport by micropolar binary fluid due to inclined plate: An inclusive analogy

“…The equations [ [16] , [17] , [18] , [19] ] are subjected to the boundary conditions [ [20] , [21] , [22] ] according to Animasaun [33]: …”

“…The bonudary conditions mentioned above satisfy the conditions C w < C ∞ and T w < T ∞ . From the equation [ 21 ], no-spin condition is derived as N (0, t ) = 0, where .…”

“…They observed that the velocity distribution improved as the material parameter rose, but an adverse effect was seen on the micro-rotational distribution. Hossain et al [ 21 ] discussed the impact of thermal radiation on the motion of a micropolar binary fluid mixture on a continuously permeable surface during unstable magnetic convection heat and mass transmission. When fluid is in motion, specific amounts of the kinetic energy are converted into thermal energy by the fluid.…”

Effect of Chemical Reaction on Unsteady Mhd Convective Transport Passing a Vertical Porous Sheet

“…presence of heat source, Soret effect, and chemical reaction. Hossain et al (2022) explored the thermal radiation effect of unsteady magneto-convective heat and mass transfer by micropolar binary mixture of fluid passing a continuous permeable surface. The effects of radiation and viscous dissipation on the transfer of unsteady magnetic-conductive heat-mass across a vertically porous sheet have been studied by Hasanuzzaman et al (2022).…”