Flexural-gravity waves in ice channel with a lead
Flexural-gravity waves in ice channel with a lead
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带铅冰通道中的弯曲重力波
DOI：
10.1017/jfm.2021.335
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发表时间：
2021-06
影响因子：
3.7
通讯作者：
Y.Z. Xue
中科院分区：
文献类型：
--
作者：
L.D. Zeng;A.A. Korobkin;B.Y. Ni;Y.Z. Xue
摘要 在水弹性线性理论中研究了在冰盖中有开放水域的冰道中传播的弯曲重力对称波。冰盖被建模为弹性板或刚性板。弹性冰盖的偏转由线性弹性板方程描述。通过简正模态方法获得了沿通道传播的弯曲重力波及其色散关系。结果表明，随着冰的硬度增加或波长减小，弹性冰的色散关系接近刚性冰的色散关系。确定平面冰厚度/波数中的区域，其中冰盖可以被视为具有规定精度的刚性。研究冰厚度和引线宽度对相速度的影响，以确定车辆沿通道移动的临界速度。结果表明，波模有几个临界速度，这些速度可能会因通道的某些参数而合并。铅的存在显着改变了冰道中波浪的特性。短波在完全覆盖冰的河道中传播，对重力和河道中水的存在的影响微弱。然而，在同一航道中传播但具有开阔水域的短波是位于领先位置的重力主导波。我们得出的结论是，带有铅的冰通道中的弯曲重力波不如完全被冰覆盖的通道中的弯曲重力波明显。
Abstract The flexural-gravity symmetric waves propagating in an ice channel with a lead of open water in the ice cover are investigated within the linear theory of hydroelasticity. The ice sheets are modelled as either elastic or as rigid plates. Deflections of the elastic ice sheets are described by the linear elastic plate equation. The flexural-gravity waves propagating along the channel and their dispersion relations are obtained by the normal mode method. It is shown that the dispersion relations for elastic ice approach the dispersion relations for rigid ice as the rigidity of ice increases or the wavelength decreases. The region in the plane ice thickness/wavenumber, where the ice cover can be treated as rigid with a prescribed accuracy, is determined. The effects of the ice thickness and width of the lead on the phase speeds are studied to determine critical speeds of a vehicle moving along the channel. It is shown that wave modes have several critical speeds, which may merge for some parameters of the channel. The presence of the lead significantly changes the characteristics of waves in an ice channel. Short waves, which propagate in a channel fully covered with ice, weakly depend on gravity and the presence of water in the channel. However, short waves propagating in the same channel but with a lead of open water are gravity-dominated waves localised in the lead. We conclude that flexural-gravity waves in an ice channel with a lead are less pronounced than in the channel completely covered by ice.
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影响因子：
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影响因子：
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DOI：
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影响因子：
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作者：
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