On weakly nonlinear convection in mushy layers during solidification of alloys

DOI10.1017/S0022112007009366zbMath1165.76015OpenAlexW2018221766MaRDI QIDQ5448962

B. S. Okhuysen, Daniel N. Riahi

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/s0022112007009366

zbMATH Keywords

bifurcationcritical Rayleigh numberhexagonal patternnon-hexagonal pattern

Mathematics Subject Classification ID

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

Related Items (5)

Amplitude Equation for a Nonlinear Three Dimensional Convective Flow in a Mushy Layer ⋮ Modelling binary alloy solidification with adaptive mesh refinement ⋮ Finite Amplitude Analysis of Poiseuille Flow in Fluid Overlying Porous Domain ⋮ On nonlinear evolution of convective flow in an active mushy layer ⋮ On weakly nonlinear evolution of convective flow in a passive mushy layer

Cites Work

• Unnamed Item
• Nonlinear analysis of buoyant convection in binary solidification with application to channel formation
• A THERMODYNAMICALLY CONSISTENT MODEL OF A MUSHY ZONE
• The Formation of Freckles in Binary Alloys
• Instabilities of the liquid and mushy regions during solidification of alloys
• Compositional convection in the solidification of binary alloys
• Onset of plume convection in mushy layers
• Weakly nonlinear analysis of convection in mushy layers during the solidification of binary alloys
• Magnetic resonance imaging of structure and convection in solidifying mushy layers
• The stability of finite amplitude cellular convection and its relation to an extremum principle
• Natural convection in a mushy layer

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