Churilov, Semyon, Ermakov, Andrei, Rousseaux, Germain and Stepanyants, Yury (2017) Scattering of long water waves in a canal with rapidly varying cross-section in the presence of a current. Physical Review Fluids, 2 (9). ISSN 2469-990X
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Abstract
The analytical study of long-wave scattering in a canal with a rapidly varying cross-section is presented. It is assumed that waves propagate on a stationary current with a given
flow rate. Due to the fixed flow rate, the current speed is different in the different sections
of the canal, upstream and downstream. The scattering coefficients (the transmission and
reflection coefficients) are calculated for all possible orientations of incident wave with
respect to the background current (downstream and upstream propagation) and for all
possible regimes of current (subcritical, transcritical, and supercritical). It is shown that
in some cases negative energy waves can appear in the process of waves scattering. The
conditions are found when the over-reflection and over-transmission phenomena occur.
In particular, it is shown that a spontaneous wave generation can arise in a transcritical
accelerating flow, when the background current enhances due to the canal narrowing. This
resembles a spontaneous wave generation on the horizon of an evaporating black hole due
to the Hawking effect.
Item Type: | Article |
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Keywords: | Scattering; long water waves; canal; rapidly; varying; cross-section; presence; current; |
Academic Unit: | Faculty of Science and Engineering > Electronic Engineering |
Item ID: | 17098 |
Identification Number: | 10.1103/PhysRevFluids.2.094805 |
Depositing User: | Dr Andrei Ermakov |
Date Deposited: | 06 Apr 2023 10:44 |
Journal or Publication Title: | Physical Review Fluids |
Publisher: | American Physical Society |
Refereed: | Yes |
Related URLs: | |
URI: | https://mural.maynoothuniversity.ie/id/eprint/17098 |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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