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Advances in Mathematical Physics
Volume 2014, Article ID 915640, 9 pages
http://dx.doi.org/10.1155/2014/915640
Research Article

Computational Dynamics of Arterial Blood Flow in the Presence of Magnetic Field and Thermal Radiation Therapy

1Center for Research in Computational and Applied Mechanics, University of Cape Town, Rondebosch 7701, South Africa
2Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa

Received 24 March 2014; Accepted 31 March 2014; Published 22 April 2014

Academic Editor: Raseelo Joel Moitsheki

Copyright © 2014 T. Chinyoka and O. D. Makinde. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We conduct a numerical study to determine the influence of magnetic field and thermal radiation on both velocity and temperature distributions in a single blood vessel. The model here assumes that blood is a Newtonian incompressible conducting fluid with radially varying viscosity due to hematocrit variation. The transient equations of momentum and energy transport governing the flow in an axisymmetric configuration are solved numerically using a semi-implicit finite difference method. Results are presented graphically and discussed both qualitatively and quantitatively from the physiological point of view. The results of this work may enhance current understanding of the factors that determine the effects of hyperthermia treatment on tumor tissues.