Numerical estimation of the temperature-dependent thermophysical parameters using hybrid method of differential evolution and the Levenberg-Marquardt algorithm

• Autorzy: Zmywaczyk J.
• Języki publikacji: EN

Abstrakty

EN

A hybrid method of estimation the temperature-dependent thermophysical parameters is presented. The method of differential evolution (DE) developed by Storn and Price [1] is used at the beginning of calculations to find an initial set of coefficients which represent the unknown temperature depending thermophysical parameters in a priori given base of functions. Then a deterministic method based on a modified Newton-Raphson approach and the Levenberg-Marquardt algorithm is applied to find a minimum of the mean square functional J(u[^T]) involving the measured and the model temperature response of the system. The proposed hybrid method turned out to be very effective and efficient tool for solving the coefficient inverse heat conduction problem (CIHCP) of simultaneous estimation of the temperature-dependent thermal conductivity k[r](T), k[z](T) and the specific heat C[p](T) of an orthotropic material.

Słowa kluczowe

EN

differential evolution; inverse problems; thermophysical parameters

PL

ewolucja różnicowa; parametry termofizyczne; zagadnienie odwrotne

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2007
• Tom: Vol. 28, no. 1
• Strony: 89--106
• Opis fizyczny: Bibliogr. 8 poz.,Wz., wykr., tab., rys.

Twórcy

autor

Zmywaczyk J.

• Wojskowa Akademia Techniczna, Warszawa,

Bibliografia

• [1] STORN R., PRICE K.: Differential evolution - a simple and efficient adaptive scheme for global optimization over continuous spaces, http://www.icsi.berkeley.edu/~storn/litera.html
• [2] CHING-YU YANG: Determination of temperature dependent thermophysical properties from temperature responses measured at medium's boundaries, Int. J. Heat Mass Transfer, 43(2000), 1261-1270.
• [3] ZMYWACZYK J.: Numerical estimation of the temperature-dependent thermophysical parameters by an inverse method - 2D approach, Archives of Thermodynamics, Vol. 27 (2006), No. 2, 37-54.
• [4] GOLDBERG D.E.: Genetic Algorithms and Their Applications, WNT, Warszawa 2003, (in Polish).
• [5] BABU B.V., SASTRY K.K.N.: Estimation of heat transfer parameters in a trickle-bed reactor using differential evolution and orthogonal collocation, Computers and Chemical Engineering 23(1999), 327-339
• [6] ÖZISIK M.N., ORLANDE H.R.B.: Inverse Heat Transfer. Fundamentals and Applications, Taylor&Francis, New York 2000.
• [7] User's manual FORTRAN subroutines for mathematical applications, Math/Library version 2.0,. IMSL Inc., Houston, Texas, USA 1991.
• [8] PRESS W.H., TEUKOLSKY S.A., VETTERLING W.T., FLANNERY B.P.: Numerical recipes in FORTRAN: the art of scientific computing - 2nd ed. Cambridge University Press, 1992, 84-85.