Browse by author
Lookup NU author(s): Dr Francesco Zonta
This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).
© The Author(s), 2023. Published by Cambridge University Press. We study the dynamics of capillary waves at the interface of a two-layer stratified turbulent channel flow. We use a combined pseudo-spectral/phase field method to solve for the turbulent flow in the two liquid layers and to track the dynamics of the liquid-liquid interface. The two liquid layers have same thickness and same density, but different viscosity. We vary the viscosity of the upper layer (two different values) to mimic a stratified oil-water flow. This allows us to study the interplay between inertial, viscous and surface tension forces in the absence of gravity. In the present set-up, waves are naturally forced by turbulence over a broad range of scales, from the larger scales, whose size is of order of the system scale, down to the smaller dissipative scales. After an initial transient, we observe the emergence of a stationary capillary wave regime, which we study by means of temporal and spatial spectra. The computed frequency and wavenumber power spectra of wave elevation are in line with previous experimental findings and can be explained in the frame of the weak wave turbulence theory. Finally, we show that the dispersion relation, which gives the frequency as a function of the wavenumber , is in good agreement with the well-established theoretical prediction,.
Author(s): Giamagas G, Zonta F, Roccon A, Soldati A
Publication type: Article
Publication status: Published
Journal: Journal of Fluid Mechanics
Year: 2023
Volume: 960
Print publication date: 10/04/2023
Online publication date: 29/03/2023
Acceptance date: 27/02/2023
Date deposited: 07/02/2025
ISSN (print): 0022-1120
ISSN (electronic): 1469-7645
Publisher: Cambridge University Press
URL: https://doi.org/10.1017/jfm.2023.189
DOI: 10.1017/jfm.2023.189
Altmetrics provided by Altmetric
