Application of the DRBEM for numerical solution of Cattaneo-Vernotte bioheat transfer equation

• Autorzy: Majchrzak, E. , Kałuża, G. , Poteralska, J.
• Języki publikacji: EN

Abstrakty

EN

The 1D problem of heat transfer in the tissue subjected to action of external heat source is considered. This phenomenon is described by Cattaneo-Vernotte equation supplemented by adequate boundary and initial conditions. To solve the problem formulated the dual reciprocity boundary element method (DRBEM) is applied. In the final part of the paper the examples of computations are shown.

Słowa kluczowe

PL

tkanka biologiczna; równanie Cattaneo-Vernotte

EN

heat transfer; biological tissue; Cattaneo-Vernotte equation

• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2008
• Tom: Vol. 7, nr 1
• Strony: 111-120
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Majchrzak, E.

autor

Kałuża, G.

autor

Poteralska, J.

• Silesian University of Technology, Gliwice, Poland,

Bibliografia

• [1] Kaminski W., Hyperbolic heat conduction equation for materials with a nonhomogeneous inner structure, Journal of Heat Transfer 1990, 112, 555-560.
• [2] Liu J., Xu L.X., Boundary information based diagnostics on the thermal states of biological bodies, Journal of Heat and Mass Transfer 2000, 43, 2827-2839.
• [3] Brebbia C.A., Dominguez J., Boundary elements, an introductory course, Computational Mechanics Publications, McGraw-Hill Book Company, London 1992.
• [4] Majchrzak E., Boundary element method in heat transfer, Publ. of the Czestochowa University of Technology, Czestochowa 2001 (in Polish).
• [5] Partridge P.W., Brebbia C.A., Wrobel L.C., The dual reciprocity boundary element method, CMP, London, New York 1992.
• [6] Drozdek J., Majchrzak E., Numerical solution of bioheat transfer equation by means of the dual reciprocity method, Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology 2007, 1(6), 47-56.