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  • FLUID MECHANICS AND HEAT TRANSFER  (1)
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  • FLUID MECHANICS AND HEAT TRANSFER  (1)
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    Square patterns and secondary instabilities in driven capillary waves (1991)
    In:  Other Sources
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    Publication Date: 2019-07-12
    Description: Amplitude equations (including nonlinear damping terms) are derived which describe the evolution of patterns in large-aspect-ratio driven capillary wave experiments. For drive strength just above threshold, a reduction of the number of marginal modes (from traveling capillary waves to standing waves) leads to simpler amplitude equations, which have a Lyapunov functional. This functional determines the wavenumber and symmetry (square) of the most stable uniform state. The original amplitude equations, however, have a secondary instability to transverse amplitude modulation (TAM), which is not present in the standing-wave equations. The TAM instability announces the restoration of the full set of marginal modes.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: Journal of Fluid Mechanics (ISSN 0022-1120); 225; 81-100
    Format: text
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