Investigation of the influence of liquid phase motion on the solidification process in the three-dimensional region

• Autorzy: Węgrzyn-Skrzypczak Ewa

Identyfikatory

DOI

10.17512/jamcm.2021.1.10

• Języki publikacji: EN

Abstrakty

EN

In this paper, the numerical model of solidification process with the motion of the liquid phase is presented. The mathematical description of the considered problem is based on the heat conduction equation with convective term and the Navier-Stokes equations with continuity equation. The numerical model uses the Finite Element Method (FEM). The simulations of the solidification process with or without the fluid motion effect are presented and discussed.

Słowa kluczowe

EN

Finite Element Method; numerical modelling; solidification; fluid flow; convection

PL

metoda elementów skończonych; modelowanie numeryczne; zestalenie; przepływ cieczy; konwekcja

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2021
• Tom: Vol. 20, nr 1
• Strony: 103--111
• Opis fizyczny: Bibliogr. 11 poz, rys., tab.

Twórcy

autor

Węgrzyn-Skrzypczak Ewa

• Department of Mathematics, Czestochowa University of Technology Czestochowa, Poland

Bibliografia

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• [3] Kaviany, M. (1991). Principles of Heat Transfer in Porous Media. New York: Springer-Verlag.
• [4] Zienkiewicz, O.C. (1977). The Finite Element Method. London: Mc Graw-Hill.
• [5] Majchrzak, E., Mochnacki, B. (2004). Numerical Methods. Theory, Numerical Aspects, Algorithms. Gliwice: Publication of the Silesian University of Technology.
• [6] Bathe, K.J. (1982). Finite Element Procedures in Engineering Analysis. Prentice-Hall.
• [7] Zienkiewicz, O.C., Taylor, R.L. (2000). The Finite Element Method. Volume 1-3: Fluid Dynamics. Butterworth & Hienem.
• [8] Bochev, P. (2001). Finite Element Methods Based on Least Squares and Modified Variational Principles. COMP2PMAC Lecture Notes, Postech, Pohang, South Korea.
• [9] Hughes, T.J.R. (1987). Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations. International Journal for Numerical Methods in Fluids, 7, 1261-1275.
• [10] Chorin, A.J. (1968). Numerical solution of the Navier-Stokes equation. Mathematics of Computation, 23, 745-762.
• [11] Zienkiewicz, O.C., Codina, R. (1995). A general algorithm for compressible and incompressible flow, Part I. The split characteristic based scheme. International Journal for Numerical Methods in Fluids, 20, 869-885.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).