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Języki publikacji
Abstrakty
Thermal processes occurring in the heated tissue are described by the 1D generalized dual-phase lag equation supplemented by appropriate boundary and initial conditions. Using the sensitivity analysis method, the additional problem connected with the porosity is formulated. Both problems are solved by means of the explicit scheme of the finite difference method. In this way it is possible to estimate the temperature changes due to the perturbation of porosity. In the final part of the paper, the example of computation is shown and the conclusions are formulated.
Rocznik
Tom
Strony
49--58
Opis fizyczny
Bibliogr. 22 poz., rys., tab.
Twórcy
autor
- Institute of Computational Mechanics and Engineering Silesian University of Technology Gliwice, Poland
autor
- Institute of Computational Mechanics and Engineering Silesian University of Technology Gliwice, Poland
autor
- Institute of Computational Mechanics and Engineering Silesian University of Technology Gliwice, Poland
Bibliografia
- [1] Torvi D.A., Dale J.D., A finite element model of skin subjected to a flash fire, Journal of Biomechanical Engineering 1994, 116, 250-255.
- [2] Jamil M., Ng E.Y.K., Ranking of parameters in bioheat transfer using Taguchi analysis, International Journal of Thermal Sciences 2013, 63, 15-21.
- [3] Mochnacki B., Piasecka-Belkhayat A., Numerical modeling of skin tissue heating using the interval finite difference method, MCB: Molecular & Cellular Biomechanics 2013, 10, 3, 233-244.
- [4] Majchrzak E., Mochnacki B., Dziewoński M., Jasiński M., Numerical modelling of hyperthermia and hypothermia processes, Advanced Materials Research 2011, 268-270, 257-262.
- [5] Duda M., Mochnacki B., 3D model of thermal interactions between human forearm and environment, Journal of Applied Mathematics and Computational Mechanics 2015, 14, 4, 17-23.
- [6] Khaled A.R.A., Vafai K., The role of porous media in modeling of flow and heat transfer in biological tissues, International Journal of Heat and Mass Transfer 2003, 46, 4989-5003.
- [7] Ciesielski M., Mochnacki B., Application of the control volume method using the Voronoi polygons for numerical modeling of bio-heat transfer processes, Journal of Theoretical and Applied Mechanics 2014, 52, 4, 927-935.
- [8] Jasiński M., Modelling of tissue thermal injury formation process with application of direct sensitivity method, Journal of Theoretical and Applied Mechanics 2014, 52, 4, 947-957.
- [9] Zhou J., Chen J.K., Zhang Y., Dual-phase lag effects on thermal damage to biological tissues caused by laser irradiation, Computers in Biology and Medicine 2009, 39, 286-293.
- [10] Majchrzak E., Numerical solution of dual phase lag model of bioheat transfer using the general boundary element method, CMES: Computer Modeling in Engineering & Sciences 2010, 69, 1, 43-60.
- [11] Majchrzak E., Turchan Ł., The general boundary element method for 3D dual-phase lag model of bioheat transfer, Engineering Analysis with Boundary Elements 2015, 50, 76-82.
- [12] Zhang Y., Generalized dual-phase lag bioheat equations based on nonequilibrium heat transfer in living biological tissues, International Journal of Heat and Mass Transfer 2009, 52, 4829-4834.
- [13] Nakayama A., Kuwahara F., A general bioheat transfer model based on the theory of porous media, International Journal of Heat and Mass Transfer 2008, 51, 3190-3199.
- [14] Majchrzak E., Turchan Ł., Numerical analysis of tissue heating using the generalized dual phase lag model, [in:] Recent Advances in Computational Mechanics, eds. T. Łodygowski, J. Rakowski & P. Litewka, CRC Press, London 2014, 355-362.
- [15] Jasiński M., Majchrzak E., Turchan Ł., Numerical analysis of the interactions between laser and soft tissues using dual-phase lag model, Applied Mathematical Modeling 2016, 40, 2, 750-762.
- [16] Kleiber M., Parameter Sensitivity, J. Wiley & Sons Ltd., Chichester 1997.
- [17] Dziewoński M., Mochnacki B., Szopa R., Sensitivity of biological tissue freezing process on the changes of cryoprobe cooling rate, Proceedings of 16th International Conference, Mechanika, Kaunas University of Technology, 2011, 82-87.
- [18] Majchrzak E., Mochnacki B., Sensitivity analysis of transient temperature field in microdomains with respect to the dual phase lag model parameters, International Journal for Multiscale Computational Engineering 2014, 12, 1, 65-77.
- [19] Mochnacki B., Majchrzak E., Identification of macro and micro parameters in solidification model, Bulletin of the Polish Academy of Sciences, Technical Sciences 2007, 55, 1, 107-113.
- [20] Mochnacki B., Majchrzak E., Sensitivity of the skin tissue on the activity of external heat sources, CMES: Computer Modeling in Engineering and Sciences 2003, 4, 3-4, 431-438.
- [21] Majchrzak E., Kałuża G., Heat flux formulation for 1D dual-phase lag equation, Journal of Applied Mathematics and Computational Mechanics 2015, 14, 1, 71-78.
- [22] Majchrzak E., Turchan Ł., Dziatkiewicz J., Modeling of skin tissue heating using the generalized dual-phase lag equation, Archives of Mechanics 2015, 67, 6, 417-437.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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