Research Article Computational Dynamics of Arterial Blood Flow in the Presence of Magnetic Field and Thermal Radiation Therapy T. Chinyoka 1 and O. D. Makinde 2 1 Center for Research in Computational and Applied Mechanics, University of Cape Town, Rondebosch 7701, South Africa 2 Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa Correspondence should be addressed to T. Chinyoka; tchinyok@vt.edu 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. Tis 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. We conduct a numerical study to determine the infuence of magnetic feld and thermal radiation on both velocity and temperature distributions in a single blood vessel. Te model here assumes that blood is a Newtonian incompressible conducting fuid with radially varying viscosity due to hematocrit variation. Te transient equations of momentum and energy transport governing the fow in an axisymmetric confguration are solved numerically using a semi-implicit fnite diference method. Results are presented graphically and discussed both qualitatively and quantitatively from the physiological point of view. Te results of this work may enhance current understanding of the factors that determine the efects of hyperthermia treatment on tumor tissues. 1. Introduction Blood fow in a large blood vessel has a profound infuence on the efciency of thermal therapy treatment [1–3]. In pathological situations, thermal radiation therapy is one of the treatments employed by medical practitioners [4–6]. Te procedure involves transmitting heat below the skin surface into tissues and muscles. Deep heat speeds up healing by increasing blood fow to the injury. Electromagnetic heat, such as shortwaves and microwaves, sends heat up to 2 inches into the tissue and muscles. It works best for injuries in joints, muscles, and tendons. Heat therapy may help reduce pain. Moreover, hyperthermia treatment has been demon- strated as efective during cancer therapy in recent years. Its objective is to raise the temperature of pathological tissues above cytotoxic temperatures (41–45 ∘ C) without overexpos- ing healthy tissues [7, 8]. Temperature distribution within tissues primarily depends on tissue thermal conductivity, the heating source’s power deposition pattern characteristics, and heat transfer resulting from blood fow [9–11]. An important source of temperature nonuniformity is the presence of large vessels entering the heated volume and carrying blood at a lower systemic temperature (37 ∘ C). Te design of delivered power devices and numerous theoretical, experimental, and clinical studies have demonstrated that large blood vessels may produce localized cooling regions within heated tissues during hyperthermia treatment [12, 13]. Kolios et al. [14] demonstrated the efect of large blood vessel in heated tissues and showed that the dissipation of heat from heated tissues was carried out by convection through blood fow and also by conduction process. A numerical study on the impact of large vessels on the temperature uniformity during hyperthermia treatment assuming steady-state condition was conducted by Creeze and Lagendijk [15]. Tey reported that the presence of a large vessel may result in nonuniform temperature resulting in possible underdosage. Cho and Hyun [16] assumed a sinusoidal variation of the velocity at the pipe inlet in a numerical study of pulsatile fow and heat transfer characteristics within a pipe. Seo Young Kim et al. [17] analyzed numerically the heat transfer characteristics of fully developed pulsatile fow in a channel, assuming a sinusoidal variation of the velocity at the inlet of the channel. In recent time, several authors have also investigated the fow structure and heat transfer characteristics of Newtonian and non-Newtonian fuid models in order to understand the physiological fow systems [18–21]. However, in the large Hindawi Publishing Corporation Advances in Mathematical Physics Volume 2014, Article ID 915640, 9 pages http://dx.doi.org/10.1155/2014/915640