Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Modulation Instability of Hydro-Elastic Waves Blown by a Wind with a Uniform Vertical Profile

Version 1 : Received: 31 October 2021 / Approved: 2 November 2021 / Online: 2 November 2021 (10:53:15 CET)

A peer-reviewed article of this Preprint also exists.

Boral, S.; Sahoo, T.; Stepanyants, Y. Modulation Instability of Hydro-Elastic Waves Blown by a Wind with a Uniform Vertical Profile. Fluids 2021, 6, 458. Boral, S.; Sahoo, T.; Stepanyants, Y. Modulation Instability of Hydro-Elastic Waves Blown by a Wind with a Uniform Vertical Profile. Fluids 2021, 6, 458.

Journal reference: Fluids 2021, 6, 458
DOI: 10.3390/fluids6120458

Abstract

An interesting physical phenomenon was recently observed when a fresh-water basin is covered by a thin ice film that has properties similar to that of a rubber membrane. Surface waves can be generated under the action of wind on the air-water interface that contains an ice film. The modulation property of hydro-elastic waves (HEWs) in deep water covered by thin ice film blown by the wind with a uniform vertical profile is studied here in terms of the air-flow velocity versus a wavenumber. The modulation instability of HEWs is studied through the analysis of coefficients of the nonlinear Schrödinger (NLS) equation with the help of the Lighthill criterion. The NLS equation is derived using the multiple scale method in the presence of airflow. It is demonstrated that the potentially unstable hydro-elastic waves with negative energy appear for relatively small wind speeds, whereas the Kelvin–Helmholtz instability arises when the wind speed becomes fairly strong. Estimates of parameters of modulated waves for the typical conditions are given.

Keywords

Wind wave; Ice cover; Vortex sheet; Negative energy wave; Modulation instability

Subject

PHYSICAL SCIENCES, Mathematical Physics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.