Three–dimensional effects in directional solidification in Hele—Shaw cells

DOI10.1098/rspa.1999.0467zbMath0949.76030OpenAlexW2135418627MaRDI QIDQ4719870

Vladimir S. Ajaev, Stephen H. Davis

Publication date: 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0467

zbMATH Keywords

linear stabilityboundary integral methodperturbation expansionstability criterionHele-Shaw cellbinary alloysubcritical bifurcationweakly nonlinear analysisdirectional solidificationcontact-angle conditioncurved solid-liquid interface

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Interfacial stability and instability in hydrodynamic stability (76E17) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (1)

Boundary-integral simulations of containerless solidification.

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