Abstract
In the paper the mathematical model of heat transfer processes in the system single blood vessel — biological tissue is presented. The mathematical model bases on the Pennes equation determining the temperature field in tissue sub-domain and the equation describing the change of blood temperature along the vessel. The coupling of these equations results from the heat flux continuity on the contact surface between vessel and tissue. In order to take into account the influence of local blood temperature on the capacity of internal heat source in the Pennes equation (the perfusion heat source) the simple iterative procedure is introduced. On the stage of numerical computations the combined algorithm basing on the boundary element method and control volume method is applied. In the final part of the paper the example of numerical simulation is shown.
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© 2001 Springer Science+Business Media Dordrecht
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Majchrzak, E., Mochnacki, B. (2001). Analysis of Bio-Heat Transfer in the System Blood Vessel — Biological Tissue. In: Burczynski, T. (eds) IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9793-7_17
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DOI: https://doi.org/10.1007/978-94-015-9793-7_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5737-2
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