An analysis of convection in a mushy layer with a deformable permeable interface

DOI10.1017/S0022112007009469zbMath1165.76016OpenAlexW2001787373MaRDI QIDQ5448970

Stephen H. Davis, Steven M. Roper, Peter W. Voorhees

Publication date: 10 March 2008

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

Full work available at URL: https://doi.org/10.1017/s0022112007009469

zbMATH Keywords

critical Rayleigh numberoscillatory instabilityrigid-lid approximation

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Multiphase and multicomponent flows (76T99) Convection in hydrodynamic stability (76E06)

Related Items (6)

Interactions between steady and oscillatory convection in mushy layers ⋮ Convective instabilities during the solidification of an ideal ternary alloy in a mushy layer ⋮ On nonlinear evolution of convective flow in an active mushy layer ⋮ Magnetohydrodynamic stationary and oscillatory convective stability in a mushy layer during binary alloy solidification ⋮ Mushy-layer growth and convection, with application to sea ice ⋮ Patterns of convection in solidifying binary solutions

Cites Work

• Nonlinear analysis of buoyant convection in binary solidification with application to channel formation
• A THERMODYNAMICALLY CONSISTENT MODEL OF A MUSHY ZONE
• Solidification of an alloy from a cooled boundary
• The Formation of Freckles in Binary Alloys
• Instabilities of the liquid and mushy regions during solidification of alloys
• Onset of plume convection in mushy layers
• Steady-state chimneys in a mushy layer
• A new oscillatory instability in a mushy layer during the solidification of binary alloys
• On nonlinear convection in mushy layers Part 1. Oscillatory modes of convection
• Weakly nonlinear analysis of convection in mushy layers during the solidification of binary alloys
• Weak convection, liquid inclusions and the formation of chimneys in mushy layers
• Nonlinear oscillatory convection in mushy layers
• A time-dependent formulation of the mushy-zone free-boundary problem

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