Bifurcation analysis of solutal convection during directional solidification

DOI10.1063/1.858115zbMath0735.76073OpenAlexW2109063609MaRDI QIDQ3985655

M. D. Impey, K. H. Winters, David S. Riley, Adam A. Wheeler

Publication date: 27 June 1992

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858115

zbMATH Keywords

bifurcation theorybuoyancy-driven flowlateral confinementcrystal-melt interfacevertical directional solidificationdilute binary mixture

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Bifurcations in context of PDEs (35B32) Diffusion and convection (76R99)

Related Items (7)

Convection effects on radial segregation and crystal–melt interface in vertical Bridgman growth ⋮ Multiple states, topology and bifurcations of natural convection in a cubical cavity ⋮ Pattern study in the 2-D solutal convection above a Bridgman-type solidification front ⋮ Bifurcation and stability analyses for a two-phase Rayleigh–Benard problem in a cavity ⋮ Unsteady swirling flow in an enclosed cylinder with reflectional symmetry ⋮ Symmetry breaking of melt flow typically encountered in a Bridgman configuration heated from below ⋮ Computational solution for fluid flow under solid-liquid phase change conditions

Cites Work

• Natural convection in steady solidification: Finite element analysis of a two-phase Rayleigh-Bénard problem
• The use of symmetry in bifurcation calculations and its application to the Bénard problem
• Hydrodynamic stability of the melt during the solidification of a binary alloy with small segregation coefficient
• The effect of sidewall imperfections on pattern formation in Lapwood convection
• Hydrodynamic stability of the melt during solidification of a binary alloy
• The Calculation of Hopf Points by a Direct Method
• Non-linear Interaction of Morphological and Convective Instabilities During Solidification of a Dilute Binary Alloy
• Modal exchange mechanisms in Lapwood convection

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