Buoyancy-thermocapillary instability: the role of interfacial deformation in one- and two-component fluid layers heated from below or above

DOI10.1017/S0022112082003449zbMath0509.76047OpenAlexW2165956728MaRDI QIDQ4749453

Jose Luis Castillo, Manuel G. Velarde

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1017/s0022112082003449

zbMATH Keywords

Rayleigh numbersubcritical instabilitytime-dependentsteadyoverstabilityinterfacial deformationsolutal Marangoni numberthermal Marangoni numberBenard-Marangoni convectionbuoyancy-thermocapillarycrispation numberdeformable upper surfacefree surface open to airheated from below or aboveone- and two-component horizontal fluid layers

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Multiphase and multicomponent flows (76T99) Interfacial stability and instability in hydrodynamic stability (76E17) Free convection (76R10) Hydrodynamic stability (76E99) Forced convection (76R05)

Related Items (8)

Long-wave Marangoni convection in a layer of surfactant solution ⋮ Rayleigh-Bénard and Marangoni magnetoconvection in Newtonian liquid with thermorheological effects ⋮ Bénard convection flows ⋮ Toward a thermodynamic theory of hydrodynamics: The Lorenz equations ⋮ Thermosolutal Marangoni instability in a viscoelastic liquid film: effect of heating from the free surface ⋮ On the linear stability theory of Bénard–Marangoni convection ⋮ Energy methods for nonlinear stability in convection problems primarily related to geophysics ⋮ Nonlinear dynamics of long-wave Marangoni convection in a binary mixture with the Soret effect

Cites Work

• On the stability of the Boussinesq equations
• Convective instability in a temperature and concentration field
• Buoyancy-surface tension instability by the method of energy
• On cellular convection driven by surface-tension gradients: effects of mean surface tension and surface viscosity
• Surface tension and buoyancy effects in cellular convection

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