Finite element study of nonlinear two-dimensional deoxygenated biomagnetic micropolar flow

In this paper, we consider the two-dimensional fully-developed steady, viscous hydrodynamic flow of a deoxygenated biomagnetic micropolar fluid, in an (X, Y) coordinate system. The momentum conservation equations with zero-pressure gradient are extended to incorporate the X- and Y-components of the biomagnetic body force term with appropriate boundary conditions. The equations are non-dimensionalized using a set of transformations. A finite element solution is obtained to the resulting non-dimensional model and the effects of biomagnetic number (NH), micropolar microinertia parameter (B) and micropolar viscosity ratio parameter (R) on the X- and Y-direction velocity profiles and micro-rotation (N) is studied in detail. Translational velocities (U, V) are seen to be reduced with an increase in micropolarity (R) and also biomagnetic effects (NH). Conversely the velocities are increased with a rise in microinertia parameter (B). Several special cases, e.g. Newtonian biomagnetic physiological flow, are also discussed. The model finds applications in blood flow in biomedical device technology (e.g. oxygenators), hemodynamics under strong external magnetic fields, magnetic drug carrier analysis, etc.