Evolution of two-dimensional disturbances in the Rayleigh–Bénard problem and their preferred wavenumbers

DOI10.1017/S0022112083001032zbMath0536.76043OpenAlexW2045353218MaRDI QIDQ3321676

A. V. Getling

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1017/s0022112083001032

zbMATH Keywords

free surfacesRayleigh-Bénard problemtwo-dimensionalnon-stationaryheated from belowFourier harmonicsvelocity and temperaturecontinuous wavenumber spectraInitial disturbancesnumerical integration of initial-value problemplane horizontal fluid layerroll setSpectrum evolution

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) Basic methods in fluid mechanics (76M99)

Related Items (4)

Convection-front propagation and wavenumber selection ⋮ The relaxation of two-dimensional rolls in Rayleigh–Bénard convection ⋮ Special issue: EUROMECH colloquium 396. Vortical structures in rotating and stratified fluids, Cortona, Arezzo, Italy, June 22--25, 1999 ⋮ Vortex structures in geophysical convection

Cites Work

• The effect of initial conditions and lateral boundaries on convection
• On the Stability of Two‐Dimensional Convection in a Layer Heated from Below
• Dynamics of Variable Wavelength in Finite-Amplitude Bénard Convection

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