Author(s): L. D. Zeng; A. A. Korobkin; B. Y. Ni; Y. Z. Xue
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Keywords: hydroelastic waves
Abstract:
The low-amplitude waves propagating in a frozen channel of rectangular cross section with a lead in the ice cover are studied in the shallow water approximation. The ice sheet is modeled by an elastic plate with constant thickness clamped to the walls of the channel. The lead is parallel to the channel with constant width, and the ice sheets on both side of this lead are identical. The fluid in the channel is inviscid and incompressible. The deflections of ice sheet and lead are described by the linear elastic plate equation and the water wave theory, respectively. The problem is formulated with respect to the shallow water approximation. The dispersion relations of the waves propagating along the ice channel are investigated. The profiles of the waves in both the ice and lead across the channel are determined. The results for finite water depth are presented for comparison. It is shown that the shallow water approximation predicts well the dispersion relations for long waves and small depth of channel. The effect of water depth to the response of waves propagating in the ice channel is investigated.
Year: 2020