The usage of the Trefftz method to determine the Biot number

• Autorzy: Maciąg A. , Walaszczyk M.

Identyfikatory

DOI

10.17512/jamcm.2017.4.05

• Języki publikacji: EN

Abstrakty

EN

The paper presents a method for determining the Biot number and the heat transfer coefficient based on the Trefftz functions. Firstly, the temperature distribution in the entire domain is calculated and then used for obtaining the heat transfer coefficient. The usefulness of the method is shown in the examples. The data for the examples are calculated by means of a known exact solution or they are given as measurements. The sensitivity of the presented method is checked. Test examples are used to check the method. Next, the heat transfer coefficient is determined for the real data for a rocket engine.

Słowa kluczowe

EN

Biot number; Trefftz functions; data disturbance; inverse problem

PL

liczba Biota; metoda Trefftza; zagadnienie odwrotne; funkcje Trefftza

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2017
• Tom: Vol. 16, nr 4
• Strony: 47--55
• Opis fizyczny: Bibliogr. 8 poz., rys., tab.

Twórcy

autor

Maciąg A.

• Faculty of Management and Computer Modelling, Kielce University of Technology Kielce, Poland

autor

Walaszczyk M.

• Faculty of Mechatronics and Machine Design, Kielce University of Technology Kielce, Poland

Bibliografia

• [1] Trefftz E., Ein Gegenstueuk zum Ritz'schen Verfahren, Proceedings 2nd International Congres of Applied Mechanics, Zurich 1926, 131-137.
• [2] Rosenbloom P.C., Widder D.V., Expansion in terms of heat polynomials and associated functions, Transactions of the American Mathematical Society 1956, 92, 220-266.
• [3] Ciałkowski M.J., Frąckowiak A., Heat Functions and Their Application for Solving Heat Transfer and Mechanical Problems, Poznań University of Technology Publishers, Poznań 2000.
• [4] Hożejowska S., Kaniowski R., Poniewski M.E., Application of adjustment calculus to the Trefftz method for calculating temperature field of the boiling liquid flowing in a minichannel, International Journal of Numerical Methods for Heat and Fluid Flow 2014, 24, 4, 811-824.
• [5] Grysa K., Metody określania liczby Biota i współczynnika przejmowania ciepła, Journal of Theoretical and Applied Mechanics 1982, 20, 71-86.
• [6] Bartz D.R., A simple equation for rapid estimation of rocket nozzle convective heat transfer coefficients, Jet Propulsion 1957, 49-51.
• [7] Mehta R.C., Solution of the inverse conduction problem, AIAA Journal 1977, 1355-1356.
• [8] Mehta R.C., Extention of the solution of inverse conduction problem, International Journal of Heat and Mass Transfer 1979, 1149-1150.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).