Hydrodynamic and morphological stability of the unidirectional solidification of a freezing binary alloy: a simple model

DOI10.1017/S0022112089001217zbMath0677.76044OpenAlexW2011362947MaRDI QIDQ3833791

Shaun A. Forth, Adam A. Wheeler

Publication date: 1989

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112089001217

zbMATH Keywords

instabilityasymptotic solutionsSquire's theoremconvection- diffusion equationsdilute binary alloy at a solid-liquid interface

Mathematics Subject Classification ID

Hydrodynamic stability (76E99)

Related Items (8)

Asymptotic behavior of modulated Taylor–Couette flows with a crystalline inner cylinder ⋮ Shear-enhanced convection in a mushy layer ⋮ The combined effects of buoyancy, rotation, and shear on phase boundary evolution ⋮ Penetrative and Marangoni convection in a fluid film over a phase boundary ⋮ Water film falling down an ice sheet ⋮ High-Reynolds-number flow in a narrow gap driven by solidification. II. Planar-flow casting application ⋮ The combined effects of shear and buoyancy on phase boundary stability ⋮ Linear stability of ice growth under a gravity-driven water film

Cites Work

• On the numerical solution of the Orr-Sommerfeld problem: Asymptotic initial conditions for shooting methods

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