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Numerical simulation of incompressible flow driven by density variations during phase change 1
Author(s) -
Mcbride E.,
Heinrich J.C.,
Poirier D.R.
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19991115)31:5<787::aid-fld973>3.0.co;2-w
Subject(s) - buoyancy , mechanics , compressibility , shrinkage , conservation of mass , convection , flow (mathematics) , incompressible flow , constant (computer programming) , finite element method , thermodynamics , materials science , physics , composite material , computer science , programming language
A change in density during the solidification of alloys can be an important driving force for convection, especially at reduced levels of gravity. A model is presented that accounts for shrinkage during the directional solidification of dendritic binary alloys under the assumption that the densities of the liquid and solid phases are different but constant. This leads to a non‐homogeneous mass conservation equation, which is numerically treated in a finite element formulation with a variable penalty coefficient that can resolve the velocity field correctly in the all‐liquid region and in the mushy zone. The stability of the flow when shrinkage interacts with buoyancy flows at low gravity is examined. Copyright © 1999 John Wiley & Sons, Ltd.