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Application of BEM for numerical solution of thermal wave model of bioheat transfer

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Języki publikacji
EN
Abstrakty
EN
The thermal wave model of bioheat transfer supplemented by boundary and initial conditions is considered. To solve the problem, the boundary element method (BEM) is proposed. In the final part of the paper examples of numerical computations concerning the determination of the temperature field in a heating tissue are shown.
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autor
autor
  • Department of Strength of Materials and Computational Mechanics Silesian University of Technology, Poland, grazyna.kaluza@polsl.pl
Bibliografia
  • [1] Pennes H.H., Analysis of tissue and arterial blood temperatures in the resting human forearm,Journal of Applied Physiology 1948, 1, 93-122.
  • [2] Liu J., Xu, L.X., Boundary information based diagnostic on the thermal states of biological bodies, Journal of Heat and Mass Transfer 2000, 43, 2827-2839.
  • [3] Majchrzak E., Numerical modeling of bio-heat transfer using the boundary element method, Journal of Theoretical and Applied Mechanics 1998, 2, 36, 437-455.
  • [4] Mochnacki B., Dziewoński M., Evaporation effect in domain of tissue subjected to a strong external heat source, Scientific Research of the Institute of Mathematics and Computer Science 2008, 1(7), 149-154.
  • [5] Majchrzak E., Drozdek J., Kałuża G., Application of the multiple reciprocity BEM for numerical solution of bioheat transfer equation, Scientific Research of the Institute of Mathematics and Computer Science 2002, 1(1), 113-124.
  • [6] Xu F., Seffen K.A., Lu T.J., Non-Fourier analysis of skin biothermomechanics, International Journal of Heat and Mass Transfer 2008, 51, 2237-2259.
  • [7] Kaminski W., Hyperbolic heat conduction equation for materials with nonhomogeneous inner structure, Journal of Heat Transfer1990, 112, 555-560.
  • [8] Majchrzak E., Modelowanie i analiza zjawisk termicznych, Cz. IV, [in:] Mechanika Techniczna, Tom XII Biomechanika, pod red. R. Będzińskiego, IPPT PAN, Warszawa 2011, 223-361.
  • [9] Majchrzak E., Application of general boundary element method for numerical solution of bioheat transfer equation, Chapter 18, [in:] Computational Modeling and Advanced Simulations, J. Murin, V. Kompis (eds.), Springer, 2011, 343-361.
  • [10] Cattaneo C., A form of heat conduction equation which eliminates the paradox of instantaneous propagation, Comp. Rend. 1958, 247, 431-433.
  • [11] Vernotte P., Les paradoxes de la theorie continue de l'equation de la chaleur, Comp. Rend. 1958, 246, 3154-3155.
  • [12] Brebbia C.A., Domingues J., Boundary Elements, an Introductory Course, CMP, McGraw-Hill Book Company, London 1992.
  • [13] Majchrzak E., Metoda elementów brzegowych w przepływie ciepła, Wyd. Politechniki Częstochowskiej, Częstochowa 2001.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPC6-0015-0009
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