- 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