Determination of the temperature field in burned and healthy skin tissue using the boundary element method. Part 1

• Autorzy: Freus K. , Freus S. , Majchrzak E.
• Języki publikacji: EN

Abstrakty

EN

In the paper the burned and healthy layers of skin tissue are considered. The temperature distribution in these layers is described by the system of two Pennes equations. The governing equations are supplemented by the boundary conditions. On the external surface the Robin condition is known. On the surface between burned and healthy skin the ideal contact is considered, while on the internal surface limiting the system the body temperature is taken into account. The problem is solved by means of the boundary element method.

Słowa kluczowe

EN

bioheat transfer; Pennes equation; boundary element method

PL

przepływ ciepła; równanie Pennesa; metoda elementów brzegowych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 3
• Strony: 39--46
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Freus K.

• Institute of Mathematics,Czestochowa University of Technology

autor

Freus S.

• Institute of Computer and Information Science, Czestochowa University of Technology Częstochowa, Poland

autor

Majchrzak E.

• Institute of Computational Mechanics and Engineering Gliwice, Poland

Bibliografia

• [1] Brebbia C.A., Dominguez J., Boundary Elements. An Introductory Course, CMP, McGraw-Hill Book Company, London 1992.
• [2] Majchrzak E., Boundary Element Method in Heat Transfer, Publ. of the Techn. Univ. of Czest., Czestochowa 2001 (in Polish).
• [3] Pennes H.H., Analysis of tissue and arterial blood temperatures in the resting human forearm, Journal of Applied Physiology 1948, 1, 93-122.
• [4] Romero Mendez R., Jimenez-Lozano J.N., Sen M., Gonzalez F.J., Analytical solution of a Pennes equation for burn-depth determination from infrared thermographs, Mathematical Medicine and Biology 2010, 27, 21-38.
• [5] Majchrzak E., Dziewoński M., Nowak M., Kawecki M., Bachorz M.,.Kowalski P., The design of a system for assisting burn and chronic wound diagnosis, [in:] E. Piętka, J. Kawa (eds.), ITIB 2012, LNCS 7339, Springer-Verlag, Berlin-Heidelberg 2012, 110-117.