Numerical simulation of incompressible flow driven by density variations during phase change

E. Mcbride, J. C. Heinrich, David R Poirier

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)787-800
Number of pages14
JournalInternational Journal for Numerical Methods in Fluids
Volume31
Issue number5
DOIs
StatePublished - Nov 15 1999

Fingerprint

incompressible flow
Incompressible flow
Phase Change
Solidification
Shrinkage
Incompressible Flow
shrinkage
Gravity
Gravitation
mushy zones
Liquid
Binary Alloys
Numerical Simulation
Mass Conservation
conservation equations
Binary alloys
Computer simulation
Buoyancy
Liquids
binary alloys

Keywords

  • Density variations
  • Incompressible flow
  • Low gravity
  • Phase change

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Computational Mechanics
  • Mechanics of Materials
  • Safety, Risk, Reliability and Quality
  • Applied Mathematics
  • Condensed Matter Physics

Cite this

Numerical simulation of incompressible flow driven by density variations during phase change. / Mcbride, E.; Heinrich, J. C.; Poirier, David R.

In: International Journal for Numerical Methods in Fluids, Vol. 31, No. 5, 15.11.1999, p. 787-800.

Research output: Contribution to journalArticle

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