A Numerical Approach for Analyzing The Electromagnetohydrodynamic Flow Through a Rotating Microchannel

The purpose of the paper is to develop a mathematical foundation for exploring the complex interaction of Coriolis and Lorentz forces with the electromagnetohydrodynamic (EMHD) flow of a power-law fluid inside a microchannel with wall slip condition. Both the Lorentz and Coriolis forces act orthogonally to each other. Mathematical modeling of the problem is based on a set of classical Maxwell and Navier-Stokes equations, which are subsequently solved numerically by employing an implicit finite difference methodology. The numerical solution thus obtained has been found to be in an excellent agreement correlation with the ones reported in the scientific literature, for some limiting cases. A rigorous effort has been made to understand how the governing parameters (e.g., the Hartmann number, the fluid behavior index, the rotating Reynolds number, and the slip parameter) affect the flow under electromagnetohydrodynamic environment. The numerical results exhibit the strong dependence of the power-law flow velocity on the Reynolds number and the Hartman number. We have also noted that the shear-thinning flow accelerates rapidly, as compared to the Newtonian fluid, when the Hartmann number is greater than a particular value (which we call the critical value). Further, the existence of a cross-over point (the value of the governing parameter at which the way the parameter affects the centerline velocity is changed) has also been predicted. The outcome of the work may be helpful to meet the upcoming challenges in future technologies related to mechanical and electrical mechanisms where the non-Newtonian flows are encountered in rotating systems under intense magnetic forces.

Automated summary

The paper develops a mathematical foundation for studying the complex interaction of Coriolis and Lorentz forces with the electromagnetohydrodynamic (EMHD) flow of a power-law fluid inside a microchannel with wall slip condition. The numerical results show a strong dependence of the power-law flow velocity on the Reynolds number and the Hartman number, and predict the existence of a cross-over point.