Hydraulic falls under a floating ice plate due to submerged obstructions

Author:

Page C.,Părău E. I.

Abstract

AbstractSteady two-dimensional nonlinear flexural–gravity hydraulic falls past a submerged obstruction on the bottom of a channel are considered. The fluid is assumed to be ideal and is covered above by a thin ice plate. Cosserat theory is used to model the sheet of ice as a thin elastic shell, and boundary integral equation techniques are then employed to find critical flow solutions. By utilising a second obstruction, solutions with a train of waves trapped between two obstructions are investigated.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Interfacial hydroelastic hydraulic falls and trapped waves over bottom obstacles;Journal of Fluids and Structures;2023-01

2. Trapped waves on interfacial hydraulic falls over bottom obstacles;Physical Review Fluids;2022-07-01

3. Fully dispersive models for moving loads on ice sheets;Journal of Fluid Mechanics;2019-07-31

4. Solitary flexural–gravity waves in three dimensions;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2018-08-20

5. Nonlinear internal wave at the interface of two-layer liquid due to a moving hydrofoil;Physics of Fluids;2017-07

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