Wyniki wyszukiwania - BazTech

1

Identification of boundary heat flux using sequential and global function specification methods and FDM algorithm

Lara-Dziembek S., Pawlak E.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

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2011

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Vol. 10, nr 1

139-144

EN

In the paper the global function specification method is used for identification of the time dependent boundary heat flux on the external boundary of the domain considered. The additional information necessary to solve an inverse problem results from the knowledge of heating (cooling) curves at points selected from the interior of the domain. The mathematical model of thermal processes proceeding in the system is based on the Fourier equation. As an example, a 1D problem is considered, but generalization of the algorithm on 2D or 3D problems is not complicated. At the stage of the numerical solution of a direct problem and an additional one, the finite difference method has been applied.

2

Estimation of boundary heat flux during cast iron solidification

Mendakiewicz J.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

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2007

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Vol. 6, nr 1

191-198

EN

In the paper the inverse problem consisting in estimation of boundary heat flux during cast iron solidification is presented. In order to solve the inverse problem formulated it is assumed that the cooling curves at selected set of points from the casting domain are given. The algorithm bases on the gradient method coupled with the finite differences method. In the final part of the paper the results of computations are shown.

3

Identification of boundary heat flux using the global function specification

Majchrzak E., Freus K., Mendakiewicz J.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

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2005

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Vol. 4, nr 1

147-156

EN

In the paper the inverse problem consisting in the identification of boundary heat flux is presented. On the basis of the knowledge of heating curves at the selected points from the domain the time dependent value of boundary heat flux is identified. In order to solve the problem the global function specification method has been used, on the stage of numerical computations the boundary element method has been applied. In the case of disturbed input data the regularization procedures have been introduced. The theoretical considerations are supplemented by the examples of computations.

4

Identification of Boundary Heat Flux Using the Sequential Function Specification Method

Majchrzak E., Mendakiewicz J., Janisz D.

Zeszyty Naukowe. Mechanika / Politechnika Opolska

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2003

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z. 76

267-270

5

Application of sensitivity analysis to the identification of the Neumann condition

Majchrzak E., Freus K.

Zeszyty Naukowe. Mechanika / Politechnika Opolska

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2001

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z. 72

201-204

6

Identification of boundary heat flux using the sensitivity coefficients

Majchrzak E., Freus K.

Archiwum Odlewnictwa

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2001

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R. 1, nr 2

238--243

EN

In the paper the method of boundary heat flux identification is presented. The algorithm is constructed on the basis of the least squares criterion in which the sensitivity coefficients are introduced. The method can be useful for the analysis of continuous casting technology. In the final part the example of computations is shown.

PL

W pracy przedstawiono metodę identyfikacji brzegowego strumienia ciepła na fragmencie brzegu ograniczającego analizowany obszar ciała stałego. Może być to np. krystalizator urządzenia COS pracującego w warunkach pseudoustalonego przepływu ciepła. Algorytm skonstruowano na podstawie kryterium najmniejszych kwadratów, w którym wykorzystano współczynniki wrażliwości. Jak wspomniano, metoda może być użyteczna przy analizie technologii odlewania ciągłego. W końcowej części pracy pokazano przykład obliczeń numerycznych.