Application of the boundary element method coupled with the artificial heat source procedure for numerical modelling of freezing process

• Autorzy: Majchrzak E. , Dziewoński M. , Kałuża G.
• Języki publikacji: EN

Abstrakty

EN

The freezing process of biological tissue subjected to the action of external cylindrical cryoprobe is analyzed. From the mathematical point of view the problem belongs to the group of moving boundary ones because the shape and dimensions of frozen region are time dependent. In the paper the mathematical model of the process considered and the method of solution are presented. Next, the example of computations is shown.

Słowa kluczowe

EN

biological tissue; freezing process; numerical modelling; tissue freezing; cryoprobe

PL

tkanka biologiczna; proces zamrażania; modelowanie numeryczne; zamrażanie tkanki

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2009
• Tom: Vol. 8, nr 1
• Strony: 105--112
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Majchrzak E.

autor

Dziewoński M.

autor

Kałuża G.

• Silesian University of Technology, Gliwice, Poland,

Bibliografia

• [1] Mochnacki B., Dziewoński M., Numerical analysis of cyclic freezing, Acta of Bioengineering and Biomechanics 2004, 6, 1, 476-479.
• [2] Majchrzak E., Numerical modelling of bioheat transfer using the boundary element method, Journal of Theoretical and Applied Mechanics 1998, 2, 36, 437-455.
• [3] Dziewoński M., Numerical analysis of biological tissue freezing process, Doctoral theses, Silesian University of Technology, Gliwice 2001.
• [4] Majchrzak E., Dziewoński M., Numerical simulation of freezing process using the BEM, Computer Assisted Mechanics and Engineering Sciences 2000, 7, 667-676.
• [5] Majchrzak E., Dziewoński M., Numerical analysis of biological tissue freezing process, KLUWER Academic Publishers 2001, 189-200.
• [6] Dziewoński M., Modelling of freezing process of the tissue subjected to the action of spherical cryoprobes, Scientific Research of the Institute of Mathematics and Computer Science 2004, 1(3), 41-46.
• [7] Budman H., Shitzer A., Dayan J., Analysis of the inverse problem of freezing and thawing of a binary solution during cryosurgical processes, Journal of Biomechanical Engineering 1995, 117, 193-202.
• [8] Comini G., Del Giudice L. Thermal aspects of cryosurgery, Journal of Heat Transfer 1976, 543- -549.
• [9] 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 1996, 3, 4, 327-346
• [10] Kałuża G., Application of sensitivity analysis in bioheat transfer, Doctoral theses, Silesian University of Technology, Gliwice 2005.
• [11] Majchrzak E., Mochnacki B., Szopa R., Application of the boundary element method for the numerical modelling of the solidification of cylindrical and spherical castings, Journal of Materials Processing Technology 2000, 106, 99-106.
• [12] Brebbia C.A., Dominguez J., Boundary elements, an introductory course, Computational Mechanics Publications, McGraw-Hill Book Company, London 1992.
• [13] Majchrzak E., Boundary element method in heat transfer, Publ. of the Czestochowa University of Technology, Czestochowa 2001 (in Polish).