A New Magneto-Micropolar Boundary Layer Model for Liquid Flows -- Effect of Micromagnetorotation (MMR)

TL;DR

This paper introduces a novel magneto-micropolar boundary layer model incorporating micromagnetorotation effects, providing new insights into magnetic liquid flows with potential applications in engineering and biomedical fields.

Contribution

The paper develops the first model accounting for micromagnetorotation in magneto-micropolar flows, extending previous assumptions by including lateral magnetic effects and deriving a new PDE-based framework.

Findings

MMR significantly influences velocity profiles.

New parameters related to MMR affect flow characteristics.

Model solutions reveal unique flow features.

Abstract

In this paper, we present a micropolar continuum model based on the theory of magnetohydrodynamics. In particular, the effect of micromagnetorotation (MMR) is taken into account in the derivation of an initial-boundary value problem (i-bvp) within magneto-micorpolar flows. MMR is a phenomenon that is related to the micromotions of the magnetic liquid particles in the presence of externally applied magnetic field. In all previous investigations magnetization was supposed to be parallel to applied magnetic field therefore its effect in the lateral direction is neglected. This assumption is not correct in magnetic-micropolar flows. Since, magnetic-micropolar flows are anisotropic in nature. Here, we present a model accounting for this MMR effect. The constitutive equation for the MMR is described and the governing system of flow dynamics is described in the form of PDEs. Boundary layer flow assumptions are used to derive an initial-boundary value problem in ODEs. As a consequence, two newly defined parameters arises that are related to the MMR. The effects of these parameters on the flow characteristics are investigated. The developed i-bvp is solved through the shooting method using MATLAB routines. Effects of MMR are analyzed on the miro-rotational and hydrodynamic velocities profiles. Some interesting features of the flow are observed. Results are presented through graphs and discussed in detail. It is worth mentioning that the model presented is first of its kind in the literature and has a great potential in investigating boundary layer flows within micropolar continuum with other physical aspects of the flow pertinent to engineering and biomedical applications.