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Dynamics of gravity-capillary waves on the surface of a nonuniformly heated fluid

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Abstract

The method of slowly varying amplitudes is used to determine the reflection of surface gravity-capillary waves from regions of regular surface convection in the approximation of an ideal and homogeneous viscous fluid. A model of a quasi-steady distribution of temperature is employed. The conditions of both weak (nonresonant) interaction, when the wave passes almost completely through the convective zone, and strong resonant interaction are revealed. When interaction is strong, standing waves form in front of the convective region and the spectral composition of the wave packet changes. Viscosity and the accompanying boundary layers lead to the broadening of forbidden zones.

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Authors and Affiliations

  1. Institute of Problems of Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101/1, Moscow, 119526, Russia

    A. V. Kistovich & Yu. D. Chashechkin

Authors
  1. A. V. Kistovich
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  2. Yu. D. Chashechkin
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Original Russian Text © A.V. Kistovich, Yu.D. Chashechkin, 2007, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2007, Vol. 43, No. 1, pp. 109–116.

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Kistovich, A.V., Chashechkin, Y.D. Dynamics of gravity-capillary waves on the surface of a nonuniformly heated fluid. Izv. Atmos. Ocean. Phys. 43, 95–102 (2007). https://doi.org/10.1134/S0001433807010112

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  • DOI: https://doi.org/10.1134/S0001433807010112

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