Buoyancy and surface-tension driven instabilities in presence of negative Rayleigh and Marangoni numbers

DOI10.1007/BF01176278zbMath0517.76042OpenAlexW1972842573MaRDI QIDQ1053546

J. Blot

Publication date: 1982

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01176278

zbMATH Keywords

unconditional stabilityBiot numbersurface tension effectsBenard Marangoni's problemdestabilisinglinear weakly nonlinear and the energy methodmarginal, supercritical and subcritical instabilitiesRayleigh number, Ra and Marangoni number negativestabilising

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15)

Related Items

Solution of the adjoint problem for instabilities with a deformable surface: Rosensweig and Marangoni instability, Thermocapillary instability of an infinite Prandtl number fluid with negligible gravitational effects, Growth of fluctuations near the Bénard-Marangoni convective instability, A nonlinear stability analysis of the Bénard–Marangoni problem

Cites Work

• Unnamed Item
• Unnamed Item
• Invariant and complete stress functions for general continua
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• On the stability of the Boussinesq equations
• Nonlinear stability of the Boussines q equations by the method of energy
• Finite amplitude cellular convection
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
• Buoyancy-surface tension instability by the method of energy
• Two-dimensional Rayleigh-Benard convection
• Surface tension and buoyancy effects in cellular convection
• On maintained convective motion in a fluid heated from below