Instability of a gravity-modulated fluid layer with surface tension variation

DOI10.1017/S0022112001003603zbMath0993.76025OpenAlexW2123391498MaRDI QIDQ2731195

Raymond J. Lee Skarda

Publication date: 29 September 2002

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

Full work available at URL: https://doi.org/10.1017/s0022112001003603

zbMATH Keywords

Mathieu equationlinear stabilityaveraging methodone-term Galerkin approximationsurface tension variationChebyshev-collocation discretizationanalytical stability criterioncritical modulation amplitudedifferentially heated fluid layerharmonic gravity modulationmodulated Marangoni-Bénard problem

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible viscous fluids (76D45) Convection in hydrodynamic stability (76E06)

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Hindered settling velocity and microstructure in suspensions of solid spheres with moderate Reynolds numbers ⋮ Hydrodynamic interactions in dissipative particle dynamics ⋮ Gravity-modulated Rayleigh-Bénard convection in a Newtonian liquid bounded by rigid-free boundaries: a comparative study with other boundary conditions ⋮ Influence of parametric forcing on Marangoni instability ⋮ Thermal convection in a cylindrical enclosure ⋮ Onset of filtration convection in a vibrating medium: The Brinkman model ⋮ Rheology of particle suspensions with low to moderate fluid inertia at finite particle inertia ⋮ Flow around spheres by dissipative particle dynamics ⋮ Instability of an oscillatory fluid layer with insoluble surfactants ⋮ Influence of a low frequency vibration on a long-wave Marangoni instability in a binary mixture with the Soret effect

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