Title: Finite element Galerkin's scheme for flow in blood vessels with magnetic effects

Authors: Anil Kumar Gupta

Addresses: Department of Applied Mathematics, Dronacharya College of Engineering, B-27, Knowledge Park III, Greater Noida, UP, India

Abstract: In this paper, a finite element solution of the Navier–Stokes equations for steady flow under the magnetic effects through a double branch two-dimensional section of a three-dimensional model of a canine aorta is discussed. The equations have been solved using Galerkin| finite element scheme. The fluid is chosen to be Newtonian and incompressible and flow is assumed in the region of arterial vessel system. The steady flow, branch flow and shear stress under the magnetic effects have been discussed in detail. The numerical solutions are then compared with the experimental results. The effects of a magnetic field have been used to control the flow, which may be useful in certain pulmonary edima cases, etc.

Keywords: wall shear stress; magnetic fields; Galerkin; blood vessels; Hartmann number; finite element method; FEM; canine aorta; 3D modelling; Navier–Stokes equations; steady flow; branch flow; pulmonary edima; blood flow.

DOI: 10.1504/IJASS.2009.027665

International Journal of Applied Systemic Studies, 2009 Vol.2 No.3, pp.284 - 293

Published online: 06 Aug 2009 *

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