PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2014 | Vol. 52 nr 4 | 927--935
Tytuł artykułu

Application of the Control Volume Method using the Voronoi polygons for numerical modeling of bio-heat transfer processes

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the paper, the problem concerning the numerical modeling of thermal processes in the domain of a biological tissue being in thermal contact with the environment is discussed. The changing ambient temperature causes that the non-steady heat transfer process is con- sidered. The cross-section of the forearm (2D problem) is treated as a non-homogeneous domain in which the sub-domains of skin tissue, fat, muscle and bone are distinguished. From the mathematical point of view, the boundary-initial problem described by the system of energy equations (the Pennes equations), boundary conditions on the external surface of the system, boundary conditions on the surfaces limiting the successive sub-domains and the initial condition is analyzed. At the stage of numerical computations, the Control Volume Method using the Voronoi polygons is applied. In the final part of the paper, examples of computations are shown.
Wydawca

Rocznik
Strony
927--935
Opis fizyczny
Bibliogr. 15 poz., rys., tab.
Twórcy
Bibliografia
  • 1. Arkin H., Xu L.X, Holmes K.R., 1994, Recent development in modeling heat transfer in blood perfused tissues, IEEE Transactions on Biomedical Engineering, 41, 97-107
  • 2. Domanski Z., Ciesielski M., Mochnacki B., 2010, Applications of control volume method using the Voronoi tessellation in numerical modeling of solidification process, [In:] Current Themes in Engineering Science 2009, Korsunsky A. (Ed.), Book Series: AIP Conference Proceedings, 1220, 17-26
  • 3. Fiala D., Lomas K.J., Stohrer M., 1999, A computer model of human thermoregulation for a wide range of environmental conditions: the passive system, Journal of Applied Physiology, 87, 5, 1957-1972
  • 4. Khaled R.A., Vafai K., 2003, The role of porous media in modeling flow and heat transfer in biological tissues, International Journal of Heat and Mass Transfer, 46, 4989-5003
  • 5. Majchrzak E., 2013, Application of different variants of the BEM in numerical modeling of bio-heat transfer processes, MCB: Molecular and Cellular Biomechanics, 10, 3, 201-232
  • 6. Majchrzak E., Mochnacki B., Dziewonski M., Jasinski M., 2011, Numerical modeling of hyperthermia and hypothermia processes, Advanced Materials Research, 268-270, 257-262
  • 7. Mochnacki B., Majchrzak E., 2003, Sensitivity of the skin tissue on the activity of external heat sources, CMES – Computer Modeling in Engineering and Sciences, 4, 3/4, 431-438
  • 8. Mochnacki B., Piasecka-Belkhayat A., 2013, Numerical modeling of skin tissue heating using the interval finite difference method, MCB: Molecular and Cellular Biomechanics, 10, 3, 233-244
  • 9. Nakayama A., Kuwahara F., 2008, A general bioheat transfer model based on the theory of porous media, International Journal of Heat and Mass Transfer, 51, 3190-3199
  • 10. Okabe A., Boots B., Sugihara K., Chiu S.N., 2000, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, Second Edition, Wiley
  • 11. Schuenke M., Schulte E., Schumacher U. Ross L., Lamperti E., 2010, General Anatomy and Musculoskeletal System (Atlas of Anatomy), Thieme, Stuttgart-New York
  • 12. Wang H., Dai W., Bejan A., 2007, Optimal temperature distribution in a 3D triple-layered skin structure embedded with artery and vein vasculature and induced by electromagnetic radiation, International Journal of Heat and Mass Transfer, 50, 1843-1854
  • 13. Watson D.F., 1981, Computing the n-dimensional Delaunay tessellation with application to Voronoi polytopes, The Computer Journal, 24, 2, 167-172
  • 14. Zhang Y., 2009, Generalized dual-phase lag bioheat equations based on nonequilibrium heat transfer in living biological tissues, International Journal of Heat and Mass Transfer, 52, 4829-4834
  • 15. Zhu L., Weinbaum S., 1995, A model for heat transfer from embedded blood vessels in two dimensional tissue preparations, Journal of Biomechanical Engineering, 117, 64-73
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-28717d02-321e-4396-a8a3-e47ce8c9d9a1
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.