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

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  • T. Chinyoka
  • O. D. Makinde

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.

Suggested Citation

  • T. Chinyoka & O. D. Makinde, 2014. "Computational Dynamics of Arterial Blood Flow in the Presence of Magnetic Field and Thermal Radiation Therapy," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-9, April.
    • Handle: RePEc:hin:jnlamp:915640
    DOI: 10.1155/2014/915640
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    Cited by:

    1. Maiti, S. & Shaw, S. & Shit, G.C., 2020. "Caputo–Fabrizio fractional order model on MHD blood flow with heat and mass transfer through a porous vessel in the presence of thermal radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    2. Tabi, C.B. & Ndjawa, P.A.Y. & Motsumi, T.G. & Bansi, C.D.K. & Kofané, T.C., 2020. "Magnetic field effect on a fractionalized blood flow model in the presence of magnetic particles and thermal radiations," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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