Modelling of heating tissue process with interval thermal parameters

• Autorzy: Piasecka-Belkhayat A.
• Konferencja: Biomechanika'06 / Międzynarodowa Konferencja (06-08.09.2006 ; Zakopane, Polska)
• Języki publikacji: EN

Abstrakty

EN

In the paper the numerical analysis of heat transfer process proceeding in the domain of a biological tissue is presented. In particular, the one-dimensional problem is considered, in which the thermophysical parameters (volumetric specific heat and heat conduction) are given as intervals. The problem discussed has been solved using the 1st scheme of the interval boundary element method. The interval Gauss elimination method with the decomposition procedure has been applied to solve the obtained interval system of equations. In the final part of the paper the results obtained are shown.

Słowa kluczowe

EN

heat transfer; biological tissue; boundary elements method; Gauss elimination method; mathematical modeling

PL

wymiana ciepła; tkanka biologiczna; nagrzewanie tkanki; metoda elementów brzegowych; metoda eliminacji Gaussa; modelowanie matematyczne

• Wydawca: Wydawnictwo Katedry Mechaniki Stosowanej
• Czasopismo: Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
• Rocznik: 2006
• Tom: z. 26
• Strony: 285--290
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Piasecka-Belkhayat A.

• Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Gliwice

Bibliografia

• [1] Torvi D. A., Dale J. D.: A finite element model of skin subjected to a Hash fire, Journal of Mechanical Engineering, 116, 1994, pp. 250-255.
• [2] Majchrzak E.: Boundary element method in heat transfer, Publ. of the Technological University of Czestochowa, Czestochowa, 2001 (in Polish).
• [3] Majchrzak E., Mochnacki B.: The BEM application for numerical solution of non-steady and non-linear thermal diffusion problems. Computer Assisted Mechanics and Engineering Sciences, Vol. 3, No 4, 1996, pp. 327-346.
• [4] Neumaier A.: Interval methods for system of equations, Cambridge University Press, Cambridge, New York, Port Chester, Melbourne, Sydney, 1990.
• [5] Piasecka-Belkhayat A.: Application of the interval methods for solving nonlinear thermal diffusion problems, 16th Intemational Conference on Computer Methods in Mechanics CMM-2005, Short Papers, Czestochowa, 2005, pp. 311-312.