Micro-polar nanofluid in the presence of thermophoresis, hall currents, and Brownian motion in a rotating system

Abstract

This study examined a rotating system by a micro-polar nanofluid between two parallel plates in the presence of magnetic and electric fields. The flow study has been performed in a steady-state. The governing equations of the present problem are transformed into nonlinear and coupled equations with appropriate similarity variables. The impacts of the Nusselt number, skin friction, and Sherwood number on temperature, velocity, and concentration distribution have been discussed. This research has mainly investigated the effects of the rotation, Brownian motion, thermophoresis analysis, and Hall current of micro-polar nanofluid. Results demonstrate for weak concentration [Formula: see text] and strong concentration [Formula: see text], that Nusselt number (Nu) increased with higher value of [Formula: see text], [Formula: see text] and decreased when [Formula: see text], Sc and [Formula: see text] increased. Also, by increasing the [Formula: see text] and Sc numbers, the temperature profile is decreased and increased by increasing [Formula: see text], [Formula: see text], and [Formula: see text]. In addition, at a higher value of the [Formula: see text], the velocity profile in the [Formula: see text]-direction increased because of increasing the fluid motion and by fast ionization, increasing the [Formula: see text] parameter raised the velocity profile in the [Formula: see text]-direction. There was a decrease in the velocity profile in the [Formula: see text]-direction and the micro-rotation velocity profile. Our results show that the method used is very efficient and practical for solving this category of coupled equations, and that the solution of higher-order nonlinear differential equations in engineering is very consistent. Also, by comparing the obtained results with the previous results, the obtained values differ by about 6%.