  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.
