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Wyświetlanie 1-2 z 2
Tytuł:
Problem of the moving boundary in continuous casting solved by the analytic-numerical method
Autorzy:
Grzymkowski, R.
Pleszczyński, M.
Hetmaniok, E.
Powiązania:
https://bibliotekanauki.pl/articles/383233.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
information technology
foundry industry
solidification process
numerical techniques
moving boundary problem
technologia informacyjna
przemysł odlewniczy
krzepnięcie stopu
technika numeryczna
problem brzegowy
Opis:
Mathematical modeling of thermal processes combined with the reversible phase transitions of type: solid phase – liquid phase leads to formulation of the parabolic or elliptic moving boundary problem. Solution of such defined problem requires, most often, to use some sophisticated numerical techniques and far advanced mathematical tools. The paper presents an analytic-numerical method, especially attractive from the engineer’s point of view, applied for finding the approximate solutions of the selected class of problems which can be reduced to the one-phase solidification problem of a plate with the unknown a priori, varying in time boundary of the region in which the solution is sought. Proposed method is based on the known formalism of initial expansion of a sought function, describing the field of temperature, into the power series, some coefficients of which are determined with the aid of boundary conditions, and on the approximation of a function defining the freezing front location with the broken line, parameters of which are determined numerically. The method represents a combination of the analytical and numerical techniques and seems to be an effective and relatively easy in using tool for solving problems of considered kind.
Źródło:
Archives of Foundry Engineering; 2013, 13, 1; 33-38
1897-3310
2299-2944
Pojawia się w:
Archives of Foundry Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytic-numerical method of determining the freezing front location
Autorzy:
Grzymkowski, R.
Hetmaniok, E.
Pleszczyński, M.
Powiązania:
https://bibliotekanauki.pl/articles/381964.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
solidification process
information technology
foundry industry
one-phase Stefan problem
moving boundary problem
proces krzepnięcia
technologia informacyjna
przemysł odlewniczy
jednofazowy problem Stefana
problem brzegowy
Opis:
Mathematical modeling of thermal processes combined with the reversible phase transitions of type: solid phase – liquid phase leads to formulation of the parabolic boundary problems with the moving boundary. Solution of such defined problem requires, most often, to use sophisticated numerical techniques and far advanced mathematical tools. Excellent illustration of the complexity of considered problems, as well as of the variety of approaches used for finding their solutions, gives the papers [1-4]. In the current paper, the authors present the, especially attractive from the engineer point of view, analytic-numerical method for finding the approximate solution of selected class of problems which can be reduced to the one-phase solidification problem of a plate with the unknown a priori, varying in time boundary of the region in which the solution is sought. Proposed method is based on the known formalism of initial expansion of the sought function describing the temperature field into the power series, some coefficients of which are determined with the aid of boundary conditions, and on the approximation of the function defining the location of freezing front with the broken line, parameters of which are numerically determined.
Źródło:
Archives of Foundry Engineering; 2011, 11, 3 spec.; 75-80
1897-3310
2299-2944
Pojawia się w:
Archives of Foundry Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-2 z 2

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