Determination of surface location between two sub-domains using the temperature distribution on the external surface

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

Abstrakty

EN

In the paper two sub-domains which are in thermal contact are considered. The temperature field in these domains is described by the system of two Laplace equations supplemented by the boundary conditions. The position of surface between sub-domains is unknown. Additional information necessary to solve the identification problem results from a knowledge of external surface temperature distribution. The direct problem is solved using the boundary element method. To solve the inverse problem formulated the gradient method is applied. In the final part of the paper the results of computations are shown. The algorithm proposed here can be used, among others, in the medical practice (e.g. in burns therapy).

Słowa kluczowe

EN

two sub-domains; thermal contact; non-homogeneous domain; temperature; boundary element method; gradient method; surface location

PL

metoda elementów brzegowych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 4
• Strony: 35--42
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Freus K.

autor

Freus S.

• Institute of Mathematics, Czestochowa University of Technology Czestochowa, Poland,

Bibliografia

• [1] Freus K., Freus S., Determination of temperature field in domain of complex shape using the NURBS curves and BEM, Scientific Research of the Institute of Mathematics and Computer Science 2008, 1(7), 43-48.
• [2] Brebbia C.A., Domingues J., Boundary Elements, Introductory Course, CMP, McGraw-Hill Book Company, London 1992.
• [3] Majchrzak E., Boundary Element Method in Heat Transfer, Publ. of the Techn. Univ. of Czest., Czestochowa 2001 (in Polish).
• [4] Kurpisz K., Nowak A.J., Inverse Thermal Problems. Computational Mechanics Publications, Southampton-Boston 1995.
• [5] Freus S., Freus K., Majchrzak E., Mochnacki B., Identification of internal boundary position in two-layers domain on the basis of external surface temperature distribution, CD-ROM Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) September 10-14, 2012, Vienna, Austria, Eds.: J. Eberhardsteiner, H.J. Bohm, F.G. Rammerstorfer, Publisher: Vienna University of Technology, Austria.
• [6] Romero Mendez R., Jimenez-Lozano J.N., Sen M., Gonzalez F.J., Analytical solution of Burndepth determination from infrared thermographs, Mathematical Medicine and Biology 2010, (27), 21-38, doi: 1093/imammb/dqp010.
• [7] Majchrzak E., Determination of burn depth on the basis of skin surface temperature - solution of inverse problem using the gradient method, 10th World Congress on Computational Mechanics, 8-12 July 2012, Sao Paulo, Brasil, CD ROM Proceedings, 1-12.