Convective instability of a system of horizontal layers of immiscible liquids with a deformable interface

DOI10.1007/BF02029677zbMath0870.76027OpenAlexW2031379844MaRDI QIDQ1354801

O. Diekmann

Publication date: 23 June 1997

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02029677

zbMATH Keywords

generalized Boussinesq approximationvertical temperature gradientcellular monotonic disturbanceslong-wave disturbancesoscillatory disturbances

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15)

Related Items (7)

Longwave stability of two-layer fluid flow in the inclined plane ⋮ Long-wave convection in a two-layer system ⋮ Convective instability of Marangoni-Poiseuille flow under a longitudinal temperature gradient ⋮ A long-wave estimation for the damping coefficient at a flat water–water vapour interface with a phase transition ⋮ Change of the types of instability of a steady two-layer flow in an inclined channel ⋮ Ostroumov-Birikh solution of convection equations with nonlinear buoyancy force ⋮ Stability of equilibrium of a double-layer system with a deformable interface and a prescribed heat flux on the external boundaries

Cites Work

• Unnamed Item
• On oscillatory instability of plane-parallel convective motion in a vertical channel
• Oscillatory instability in a Bénard problem of two fluids
• Perturbation analysis of steady and oscillatory onset in a Bénard problem with two similar liquids
• Energy stability theory for free-surface problems: buoyancy-thermocapillary layers

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