NUMERICAL MODELING OF HEAT TRANSFER IN BIOLOGICAL TISSUE DOMAIN USING THE INTERVAL FINITE DIFFERENCE METHOD

NUMERICAL MODELING OF HEAT TRANSFER IN BIOLOGICAL TISSUE DOMAIN USING THE INTERVAL FINITE DIFFERENCE METHOD

Mochnacki, B.; Belkhayat, A. Piasecka

Full Article:

In the paper the numerical analysis of heat transfer process proceeding in the domain of a biological tissue is presented. In particular, the two-dimensional problem is considered, in which the thermophysical parameters (volumetric specific heat and thermal conductivity) are given as intervals. The problem discussed has been solved using the interval finite difference method using the rules of directed interval arithmetic. In the final part of the paper the results of numerical computation are shown.

In the paper the numerical analysis of heat transfer process proceeding in the domain of a biological tissue is presented. In particular, the two-dimensional problem is considered, in which the thermophysical parameters (volumetric specific heat and thermal conductivity) are given as intervals. The problem discussed has been solved using the interval finite difference method using the rules of directed interval arithmetic. In the final part of the paper the results of numerical computation are shown.

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DOI: 10.5151/meceng-wccm2012-18571

Referências bibliográficas

• [1] Piasecka Belkhayat A., “Numerical modeling of solidification process using interval finite difference method”. Scientific Research of the Institute of Mathematics and Computer Science 1(9), 155-164, 2009.
• [2] Majchrzak E., Biomechanics, Vol. XII, Polish Academy of Sciences. Warsaw, 2012.
• [3] Mochnacki B., Majchrzak E., Computer Methods in Materials Science. 11, 2, 337-342, 2011.
• [4] Mochnacki B., Suchy J.S., Numerical methods in computations of foundry processes. PFTA, Cracow, 1995.
• [5] Majchrzak E., Mochnacki B., Numerical methods. Theoretical Base, practical aspects, algorithms. Publ. of the Silesian Univ. of Technology, Gliwice, 2004.

Como citar:

Mochnacki, B.; Belkhayat, A. Piasecka; "NUMERICAL MODELING OF HEAT TRANSFER IN BIOLOGICAL TISSUE DOMAIN USING THE INTERVAL FINITE DIFFERENCE METHOD", p-1866-1874. In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 23580828, DOI 10.5151/meceng-wccm2012-18571