The effect of geometry on the gravitational instability of a buoyant region of viscous fluid

DOI10.1017/S0022112089001308zbMath0666.76067OpenAlexW2075891790MaRDI QIDQ3817830

John R. Lister, Ross C Kerr

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1017/s0022112089001308

zbMATH Keywords

Fourier seriesStokes equationsscaling analysismid-ocean ridgeslinear regions of volcanismlow-Reynolds-number stabilityregion of buoyant fluidtwo-layered systemsunstable sinusoidal perturbation

Mathematics Subject Classification ID

Interfacial stability and instability in hydrodynamic stability (76E17) Reaction effects in flows (76V05) Hydrodynamic stability (76E99) Basic methods in fluid mechanics (76M99) Stability and instability of geophysical and astrophysical flows (76E20) Geophysics (86A99)

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The formation of vesicular cylinders in pahoehoe lava flows ⋮ Slender-body theory for steady sheared plumes in very viscous fluid ⋮ Magneto-Rayleigh–Taylor instability in an elastic finite-width medium overlying an ideal fluid ⋮ The nonlinear dynamics of pendent drops on a thin film coating the underside of a ceiling ⋮ Dripping instability of a two-dimensional liquid film under an inclined plate ⋮ Rayleigh–Taylor instability of an inclined buoyant viscous cylinder

Cites Work

• The instability of a fluid layer with time-dependent heating

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