Identification of the average and local boundary condition of heat transfer during cooling with a water spray under surface boiling

• Autorzy: Jasiewicz Elżbieta , Hadała Beata , Malinowski Andrzej
• Języki publikacji: EN

Abstrakty

EN

The study determined the local and average heat transfer coefficient and the heat flux on the surface of a cylinder cooled with a water nozzle. The inverse method was used to identify the heat transfer coefficient. An objective function was defined to determine the distance between the measured and calculated temperatures. Two models describing the heat transfer coefficient on the cooled surface were considered. The first model described changes in the heat transfer coefficient as a function of the sample radius and cooling time, and the second one assumed the dependence of the heat transfer coefficient solely on time. Numerical simulations showed significant differences in the determined heat transfer coefficients depending on the adopted model of the boundary condition. The performed tests included experimental temperature measurements at selected points of the sensor, numerical simulations of temperature changes, and the inverse solution.

Słowa kluczowe

EN

water spray cooling; heat transfer coefficient; heat flux; inverse problem; heat conduction equation

• Wydawca: Wydawnictwa AGH
• Czasopismo: Computer Methods in Materials Science
• Rocznik: 2020
• Tom: Vol. 20, No. 4
• Strony: 147--155
• Opis fizyczny: Bibliogr. 20 poz., rys.

Twórcy

autor

Jasiewicz Elżbieta

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

autor

Hadała Beata

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

autor

Malinowski Andrzej

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

Bibliografia

• Bellerová, H., Tseng, A.A., Pohanka, M., & Raudensky, M. (2012). Spray cooling by solid jet nozzles using alumina/water nanofluids. International Journal of Thermal Sciences, 62, 127–137.
• Broyden, C.G. (1970). The convergence of a class of double-rank minimization algorithms: 2. The new algorithm. Journal of the Institute of Mathematics and its Applications, 6, 222–231.
• Cebo-Rudnicka, A., Malinowski, Z., & Buczek, A. (2016). The influence of selected parameters of spray cooling and thermal conductivity on heat transfer coefficient. International Journal of Thermal Sciences, 110, 52–64.
• Edalatpour, S., Saboonchi, A., & Hassanpour, S. (2011). Effect of phase transformation latent heat on prediction accuracy of strip laminar cooling. Journal of Materials Processing Technology, 211(11), 1776–1782.
• Fletcher, R. (1970). A new approach to variable metric algorithms. The Computer Journal, 13(3), 317–322.
• Goldfarb, D. (1970). A family of variable-metric methods derived by variational means. Mathematics of Computation, 24(109), 23–26.
• Hadała, B., Malinowski, Z., Telejko, T., Szajding, A., & Cebo-Rudnicka, A. (2019). Experimental identification and a model of a local heat transfer coefficient for water – air assisted spray cooling of vertical low conductivity steel plates from high temperature. International Journal of Thermal Sciences, 136, 200–216.
• Huang, C.H., & Wang, S.P. (1999). A three-dimensional inverse heat conduction problem in estimating surface heat flux by conjugate gradient method. International Journal of Heat and Mass Transfer, 42(18), 3387–3404.
• Kim, H.K., & Oh, S.I. (2001). Evaluation of heat transfer coefficient during heat treatment by inverse analysis, Journal of Materials Processing Technology, 112(2–3), 157–165.
• Kręglewski, T., Rogowski, T., Ruszczyński, A., & Szymanowski, J. (1984). Metody optymalizacji w języku FORTRAN (J. Szymanowski, Red.), Wydawnictwo Naukowe PWN.
• Malinowski, Z. (2005). Numeryczne modele w przeróbce plastycznej i wymianie ciepła. Uczelniane Wydawnictwa Naukowo-Dydaktyczne AGH. PROMAT. Karta katalogowa produktu PROMAFORM-1260.
• Shanno, D.F. (1970). Conditioning of quasi-Newton methods for function minimization. Mathematics of Computation, 24(11), 647–656.
• Silk, E.A., Golliher, E.L., & Selvam, R.P. (2008). Spray cooling heat transfer: Technology overview and assessment of future challenges for micro-gravity application. Energy Conversion and Management, 49(3), 453–468.
• Steel work nozzles. (n.d.). PNR. Retrieved May 24, from https://www.pnr.co.uk/products/nozzles/spray-nozzles/steel-work-nozzles/.
• Sun, C.G., Han, H.N., Lee, J.K., Jin, Y.S., & Hwang, S.M. (2002). A finite element model for the prediction of thermal and metallurgical behavior of strip on run-out-table in hot rolling. ISIJ International, 42(4), 392–400.
• Telejko, T., & Malinowski, Z. (2004). Application of an inverse solution to the thermal conductivity identification using the finite element method. Journal of Materials Processing Technology, 146(2), 145–155.
• Volle, F., Maillet, D., Gradeck, M., Kouachi, A., & Lebouché, M. (2009). Practical application of inverse heat conduction problem for wall condition estimation on rotating cylinder. International Journal of Heat and Mass Transfer, 52(1–2), 210–221.
• Zhou, J., Zhang, Y., Chen, J.K., & Feng, Z.C. (2012). Inverse estimation of front surface temperature of a plate with laser heating and convection-radiation cooling. International Journal of Thermal Science, 52, 22–30.
• Zienkiewicz, O.C., & Taylor, R.L. (2000). The finite element method (Vol. 1: The basis, Fifth Edition). Butterworth-Heinemann.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).