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

BHARGAVA, R., BEG, O. A., SHARMA, S. and ZUECO, J. (2010). Finite element study of nonlinear two-dimensional deoxygenated biomagnetic micropolar flow. Communications in Nonlinear Science and Numerical Simulation, 15 (5), 1210-1223.

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Abstract

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 (Nil), micropolar microinertia parameter (B) and micropolar viscosity ratio parameter (R) on the X- and Y-direction velocity profiles and microrotation (N) is studied in detail. Translational velocities (UV) 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. (C) 2009 Elsevier B.V. All rights reserved.

Item Type:	Article
Research Institute, Centre or Group:	Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Identification Number:	10.1016/j.cnsns.2009.05.049
Depositing User:	Ann Betterton
Date Deposited:	22 Mar 2010 17:00
Last Modified:	22 Mar 2010 17:00
URI:	http://shura.shu.ac.uk/id/eprint/1326

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