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Solution of the Stefan problem by involving material shrinkage

Data publikacji: 13.01.2016

Czasopismo Techniczne, 2015, Mechanika Zeszyt 2-M (7) 2015, s. 157 - 164

Autorzy

,
Jarosław Matlak
Institute of Mathematics, Silesian University of Technology
Wszystkie publikacje autora →
Damian Słota
Institute of Mathematics, Silesian University of Technology
Wszystkie publikacje autora →

Tytuły

Solution of the Stefan problem by involving material shrinkage

Abstrakt

In this paper we describe an algorithm for solving the one-dimensional Stefan problem by involving metal shrinkage. In this algorithm we use the finite element method supplemented by the procedures allowing to define the position of moving interface and the change material size associated with shrinkage. We present also some examples illustrating the precision of the presented method.

Bibliografia

[1] Crank J., Free and Moving Boundary Problems, Clarendon Press, Oxford 1996.

[2] Mochnacki B., Suchy J.S, Methods in Computations of Foundry Processes, PFTA, Cracow 1995.

[3] Özişik M.N., Heat Conduction, Wiley & Sons, New York 1993.

[4] Voller V., Falcini F., Two exact solutions of a Stefan problem with varying diffusivity, Int. J. Heat Mass Transfer, Vol. 58, 2013, 80-85.

[5] Zhou Y., Wang Y., Bu W., Exact solution for a Stefan problem with latent heat a power of position, Int. J. Heat Mass Transfer, 2014, 69, 451-454.

[6] Furenes B., Lie B., Using event location in finite-difference methods for phase-change problems, Numer. Heat Transfer B, Vol. 50, 2006, 143-155.

[7] Voller V.R., Swaminathan C.R., General source-based method for solidification phase change, Numer. Heat Transfer B, Vol. 19, 1991, 175-189.

[8] Grzymkowski R., Hetmaniok E., Pleszczyński M., Słota D., A Certain Analytical Method Used for Solving the Stefan Problem, Thermal Science, Vol. 17, 2013, 635-642.

[9] Purlis E., Salvadori V., A moving boundary problem in a food material undergoing volume change – Simulation of bread baking, Food Research International, Vol. 43, 2010, 949-958.

[10] Natale M., Marcusa E., Tarzia, D., Explicit solutions for one-dimensional two-phase free boundary problems with either shrinkage or expansion, Nonlinear Anal.: Real World Appl., Vol. 11, 2010, 1946-1952.

[11] Yang Z., Sen M., Paolucci S., Solidification of a finite slab with convective cooling and shrinkage, Appl. Math. Modelling, Vol. 27, 2003, 733-762.

[12] Grzymkowski R., Kapusta A., Nowak I., Słota D., Numerical Methods. The Initial-Boundary Value Problems, WPKJS, Gliwice 2009 (in Polish).

Informacje

Informacje: Czasopismo Techniczne, 2015, Mechanika Zeszyt 2-M (7) 2015, s. 157 - 164

Typ artykułu: Oryginalny artykuł naukowy

Tytuły:

Polski:

Solution of the Stefan problem by involving material shrinkage

Angielski:

Solution of the Stefan problem by involving material shrinkage

Autorzy

Institute of Mathematics, Silesian University of Technology

Institute of Mathematics, Silesian University of Technology

Publikacja: 13.01.2016

Status artykułu: Otwarte __T_UNLOCK

Licencja: Żadna

Udział procentowy autorów:

Jarosław Matlak (Autor) - 50%
Damian Słota (Autor) - 50%

Korekty artykułu:

-

Języki publikacji:

Angielski

Liczba wyświetleń: 1425

Liczba pobrań: 1809