Nonlinear Marangoni convection in bounded layers. Part 2. Rectangular cylindrical containers

DOI10.1017/S0022112082002699zbMath0498.76039MaRDI QIDQ3964203

G. M. Homsy, S. Rosenblat, Stephen H. Davis

Publication date: 1982

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

zbMATH Keywords

Rayleigh numbersurface tensionfree surfacecircular cylinderPrandtl numberasymptotic theorysteadyrectangular cylinderlinearized stability theorynonlinear Marangoni instabilitycritical numberaspect ratios corresponding to double eigenvaluesfinite amplitude statesroll-cell amplituderoll-cell developmentroll-cell interactionsequences of transitions from one steady state to anothersurface cooling conditiontime-periodic convectiontransport fields

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30)

Related Items

On pressure boundary conditions for thermoconvective problems ⋮ Solution of the adjoint problem for instabilities with a deformable surface: Rosensweig and Marangoni instability ⋮ Strong resonance in two-dimensional non-Boussinesq convection ⋮ On the structure of cellular solutions in Rayleigh–Bénard–Marangoni flows in small-aspect-ratio containers ⋮ Dynamical transition theory of hexagonal pattern formations ⋮ Bénard–Marangoni instability in rigid rectangular containers ⋮ Oscillatory Marangoni convection in binary mixtures in square and nearly square containers ⋮ Three-dimensional Marangoni–Bénard flows in square and nearly square containers ⋮ Extended Galerkin-Eckhaus method in nonlinear thermoconvection ⋮ Influence of free surface curvature of a liquid layer on the critical Marangoni convection ⋮ Energy methods for nonlinear stability in convection problems primarily related to geophysics ⋮ Pattern dynamics in a Bénard-Marangoni convection experiment ⋮ Multi-component convection-diffusion with internal heating or cooling ⋮ Resonant interactions in Bénard-Marangoni convection in cylindrical containers ⋮ Three-dimensional simulations of Marangoni-Benard convection in small containers by the least-squares finite element method

Cites Work

• On convection cells induced by surface tension
• Asymptotic Methods for Bifurcation and Stability Problems
• Convection in a box: linear theory
• Finite amplitude cellular convection induced by surface tension

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