Hexagonal structure of large-scale Marangoni convection

DOI10.1016/0167-2789(91)90140-5zbMath0735.76065OpenAlexW1992573198MaRDI QIDQ1181345

L. Shtilman, Gregory I. Sivashinsky

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90140-5

zbMATH Keywords

drift flowhexagonal cellsurface tension driven convection

Mathematics Subject Classification ID

Free convection (76R10)

Related Items (12)

Pattern formation in large-scale Marangoni convection with deformable interface ⋮ Marangoni convection in a binary liquid layer with Soret effect at small Lewis number: Linear stability analysis ⋮ Interaction between short-scale Marangoni convection and long-scale deformational instability ⋮ Localization and advectional spreading of convective currents under parametric disorder ⋮ Instabilities and spatio-temporal chaos of long-wave hexagon patterns in rotating Marangoni convection ⋮ Long-wave Marangoni instability in a binary-liquid layer with deformable interface in the presence of Soret effect: Linear theory ⋮ Exponential time differencing for stiff systems with nondiagonal linear part ⋮ Three-dimensional oscillatory long-wave Marangoni convection in a binary liquid layer with the Soret effect: Bifurcation analysis ⋮ Linear and nonlinear theory of long-wave Marangoni instability with the Soret effect at finite Biot numbers ⋮ New stability results for patterns in a model of long-wavelength convection ⋮ Solutions for a fourth-order nonlinear parabolic equation describing Marangoni convection ⋮ NONPOTENTIAL EFFECTS IN NONLINEAR DYNAMICS OF MARANGONI CONVECTION

Cites Work

• Pattern selection in long-wavelength convection
• Large cells in nonlinear Marangoni convection
• Symmetries and pattern selection in Rayleigh-Bénard convection
• Large Cells in Nonlinear Rayleigh-Benard Convection
• The transition from roll to square-cell solutions in Rayleigh–Bénard convection
• Nonlinear thermal convection with finite conducting boundaries
• Viscoelastic behaviour of cellular solutions to the Kuramoto-Sivashinsky model
• Rolls versus squares in thermal convection of fluids with temperature-dependent viscosity
• Nonlinear convection in a layer with nearly insulating boundaries
• Planform selection by finite-amplitude thermal convection between poorly conducting slabs
• Nonlinear Rayleigh–Bénard convection between poorly conducting boundaries

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