Nonlinear study of the flow in a long rectangular cavity subjected to thermocapillary effect

DOI10.1063/1.857751zbMath0699.76049OpenAlexW2042204289MaRDI QIDQ3478132

Bernard Roux, H. Ben Hadid, Patrice Laure

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.857751

zbMATH Keywords

Couette flowBridgman technique solidificationmolten metalstwo-dimensional Navier- Stokes equations

Mathematics Subject Classification ID

Diffusion and convection (76R99) Wakes and jets (76D25) Basic methods in fluid mechanics (76M99)

Related Items (6)

Thermocapillary flows in finite size systems ⋮ Asymptotic solution of thermocapillary convection in a thin annular pool of silicon melt ⋮ Thermocapillary convection and existence of continuous liquid layers in the absence of gravity ⋮ Three-dimensional centrifugal-flow instabilities in the lid-driven-cavity problem ⋮ Thermocapillary convection with moving contact points ⋮ Flow instabilities in thermocapillary-buoyant liquid pools

Cites Work

• Symbolic computation and equation on the center manifold: Application to the Couette-Taylor problem
• Instabilities of dynamic thermocapillary liquid layers. Part 1. Convective instabilities
• Thermocapillary convection in a rectangular cavity: asymptotic theory and numerical simulation
• Thermocapillary Instabilities
• Numerical solutions of the steady-state vorticity equation in rectangular basins
• Accurate solution of the Orr–Sommerfeld stability equation

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