The onset of convection in a finite container due to surface tension and buoyancy

DOI10.1016/0167-2789(88)90037-1zbMath0638.76063OpenAlexW1988057458MaRDI QIDQ1099721

B. George

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90037-1

zbMATH Keywords

surface tensiontranscritical bifurcationbifurcation theoryfinite-element methodcontinuation methodspitchforktrivial solutiononset of convectionmethod for predicting instabilitiesrectangular containerssubcritical branchtwo-dimensional cavity

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Bifurcations in context of PDEs (35B32)

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Thermocapillary convection in a multilayer system, A direct method for computation of simple bifurcations, Bifurcation and stability: a computational approach, Comments on the numerical investigation of Rayleigh and Marangoni convection in a vertical circular cylinder, On the structure of cellular solutions in Rayleigh–Bénard–Marangoni flows in small-aspect-ratio containers, Different modes of Rayleigh-Bénard instability in two- and three-dimensional rectangular enclosures, Bénard–Marangoni instability in rigid rectangular containers, Nonlinear doubly diffusive convection in vertical enclosures, Double-diffusive Marangoni convection in a rectangular cavity: Onset of convection, Marangoni-Bénard convection with a deformable free surface, Three-dimensional simulations of Marangoni-Benard convection in small containers by the least-squares finite element method, Control of Bifurcation Structures using Shape Optimization

Cites Work

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