Influence of the sample geometry on the inverse determination of the heat transfer coefficient distribution on the axially symmetrical sample cooled by the water spray

• Autorzy: Cebo-Rudnicka, A. , Malinowski, Z. , Hadała, B. , Telejko, T.

Warianty tytułu

PL

Wpływ geometrii próbki osiowosymetrycznej na wyznaczanie rozkładu współczynnika wymiany ciepła podczas chłodzenia natryskiem wodnym

• Języki publikacji: EN

Abstrakty

EN

The paper presents the results of the heat transfer coefficient determination while the water spray cooling process. To determine the boundary condition over the metal surface cooled by water spray the inverse heat conduction problem has been used. In the investigations the axially symmetrical sample has been used as a cooled object. Because of the specific setup of the sensor used in investigations, two finite element models have been tested in the inverse determination of the heat transfer coefficient. The first one, which simplifies the sensor geometry to a cylinder and the second one, that describes the real shape of the sensor. Also, the comparison between two different models employed to determine the heat transfer coefficient over the cooled sample surface have been presented. The boundary condition models differ in description of the function that has been employed to approximate the heat transfer coefficient distribution over the cooled surface in the time of cooling.

PL

W pracy przedstawiono wyniki obliczeń współczynnika wymiany ciepła wyznaczonego na podstawie badań eksperymentalnych. Do wyznaczenia warunku brzegowego na powierzchni metalu chłodzonego natryskiem wodnym wykorzystano rozwiązanie brzegowego odwrotnego zagadnienia przewodzenia ciepła. Badania eksperymentalne przeprowadzono dla próbki osiowosymetrycznej. Ze względu na specyficzną budowę czujnika wykorzystanego w badaniach, w algorytmie metody odwrotnej przetestowano dwa modele elementów skończonych opisujące geometrię próbki. Pierwszy model upraszczał geometrię próbki do postaci „zwykłego” walca, drugi model opisywał rzeczywisty kształt próbki. W pracy testowano również dwa modele aproksymacji warunku brzegowego.

Słowa kluczowe

EN

water spray cooling; heat transfer coefficient; boundary inverse problem; finite element method

• Czasopismo: Computer Methods in Materials Science
• Rocznik: 2013
• Tom: Vol. 13, No. 2
• Strony: 269--275
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Cebo-Rudnicka, A.

• Faculty of Metals Engineering and Industrial Computer Science, Department of Heat Engineering and Environment Protection, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland,

autor

Malinowski, Z.

• Faculty of Metals Engineering and Industrial Computer Science, Department of Heat Engineering and Environment Protection, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland

autor

Hadała, B.

• Faculty of Metals Engineering and Industrial Computer Science, Department of Heat Engineering and Environment Protection, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland

autor

Telejko, T.

• Faculty of Metals Engineering and Industrial Computer Science, Department of Heat Engineering and Environment Protection, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland

Bibliografia

• Cebo-Rudnicka, A., Malinowski, Z., Telejko, T., Hadała, B., 2012, Implementation of the finite element model with linear and Hermitian shape function to determination of the heat transfer coefficient distribution on the hot plate cooled by water spray, Proceedings of Numerical Heat Transfer 2012 International Conference, eds, Nowak, A.J., Białecki, R.A., Institute of Thermal Technology, Silesian University of Technology, Gliwice – Wrocław, 58-67.
• Gołdasz, A., Malinowski, Z., Hadała, B., 2009, Study of heat balance in the rolling process of bars, Archives of Metallurgy and Materials, 54, 685-694.
• Liu, T., Wang, B., Rubal, J., Sullivan, J.P., 2012, Correcting lateral heat conduction effect in image-based heat flux measurements as an inverse problem, Int. J. Heat and Mass Trans., 54,1244-1258.
• Malinowski, Z., Telejko T., Hadała, B., Cebo-Rudnicka, A.,2012, Implementation of the axially symmetrical and three dimensional finite element models to the determination of the heat transfer coefficient distribution on the hot plate surface cooled by the water spray nozzle, KEM, 504-506, 1055-1060.
• Mascarenhas, N., Mudawar, I., 2010, Analytical and computational methodology for modeling spray quenching of solid alloy cylinders, Int. J. Heat and Mass Trans., 53, 5871-5883.
• Tacke, G., Litzke, H., and Raquest, E., 1985, Investigation into the Efficiency of Cooling System for Wide-Strip Hot Rolling Mills and Computer-Aides Control of Strip Cooling, Proceedings of a Symposium on Accelerated Cooling of Steel, eds, Sothwick, P.D., The Metallurgical Society of AIME, Pittsburgh, Pennsylvania, 35-54.