Bénard convection flows

DOI10.1515/jnet.1997.22.1.1zbMath0892.76025OpenAlexW4237296065MaRDI QIDQ1371038

Manuel G. Velarde, Jean Bragard

Publication date: 12 August 1998

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnet.1997.22.1.1

zbMATH Keywords

surface tensionsquaresconvective patternshexagonsrollsinterfacial turbulenceinstability thresholdlabyrinthine convection flowsspace-time chaos

Mathematics Subject Classification ID

Related Items (3)

On three-dimensional stable long-wavelength convection in the presence of Dirichlet thermal boundary conditions ⋮ Evolution and stability limits of patterns in surface-tension-driven-Bénard convection ⋮ A parallel computer implementation of the asymptotic numerical method to study thermal convection instabilities

Cites Work

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• Thermally driven motion of highly viscous fluids
• The validity of the Boussinesq approximation for liquids and gases
• The Eckhaus instability in hexagonal patterns
• Pattern formation in large-scale Marangoni convection with deformable interface
• Dynamics of penta-hepta defects in hexagonal patterns
• On the non-linear mechanics of hydrodynamic stability
• On convection cells induced by surface tension
• Stability of finite-amplitude convection
• A nonlinear stability analysis of the Bénard–Marangoni problem
• Bénard–Marangoni convection with a deformable interface and poorly conducting boundaries
• Energy stability theory for free-surface problems: buoyancy-thermocapillary layers
• Bénard–Marangoni instability in rigid rectangular containers
• Thermocapillary Instabilities
• Buoyancy-thermocapillary instability: the role of interfacial deformation in one- and two-component fluid layers heated from below or above
• Surface-tension-driven Bénard convention at infinite Prandtl number
• Pattern formation outside of equilibrium
• Finite bandwidth, finite amplitude convection
• Buoyancy-surface tension instability by the method of energy
• Finite amplitude cellular convection induced by surface tension

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