Dispersion and viscous attenuation of capillary waves with finite amplitude

@article{Denner2017DispersionAV,
  title={Dispersion and viscous attenuation of capillary waves with finite amplitude},
  author={Fabian Denner and Gouns{\'e}ti Par{\'e} and St{\'e}phane Zaleski},
  journal={The European Physical Journal Special Topics},
  year={2017},
  volume={226},
  pages={1229-1238}
}
Abstract We present a comprehensive study of the dispersion of capillary waves with finite amplitude, based on direct numerical simulations. The presented results show an increase of viscous attenuation and, consequently, a smaller frequency of capillary waves with increasing initial wave amplitude. Interestingly, however, the critical wavenumber as well as the wavenumber at which the maximum frequency is observed remain the same for a given two-phase system, irrespective of the wave amplitude… 

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References

SHOWING 1-10 OF 31 REFERENCES

Frequency dispersion of small-amplitude capillary waves in viscous fluids.

The presented results suggest that the widely adopted hydrodynamic theory for damped capillary waves does not accurately predict the dispersion when viscous damping is significant, and an alternative definition of the damping rate is presented, which provides consistent accuracy in the underdamped regime.

Direct numerical simulations of capillary wave turbulence.

This work presents direct numerical simulations of capillary wave turbulence solving the full three-dimensional Navier-Stokes equations of a two-phase flow, confirming the validity of the weak turbulence approach to quantify out-of equilibrium wave statistics.

An exact solution for progressive capillary waves of arbitrary amplitude

  • G. Crapper
  • Physics, Geology
    Journal of Fluid Mechanics
  • 1957
An exact solution is found in a fairly simple form for two-dimensional progressive waves of arbitrary amplitude on a fluid of unlimited depth, when only surface tension and not gravity is taken into

Viscous effects on small‐amplitude surface waves

The transient behavior of small‐amplitude standing waves on the plane surface of an infinitely deep viscous liquid is investigated. An integro‐differential equation of motion for the free surface is

Viscosity effect on capillary waves at liquid interfaces

We discuss the viscosity damping effect on capillary waves in a binary-liquid system, using the linearized Navier-Stokes equation. The damping correction for the dispersion relation depends on the

Effects of plane progressive irrotational waves on thermal boundary layers

  • J. Witting
  • Physics, Environmental Science
    Journal of Fluid Mechanics
  • 1971
The average changes in the structure of thermal boundary layers at the surface of bodies of water produced by various types of surface waves are computed. the waves are two-dimensional plane

Observation of gravity-capillary wave turbulence.

The probability density functions of the turbulent wave height are found to be asymmetric and thus non-Gaussian and the scaling of those spectra with the mean energy flux is found in disagreement with weak turbulence theory for both regimes.

Exact large amplitude capillary waves on sheets of fluid

We generalize Crapper's exact solution for capillary waves on fluid of infinite depth. We find two finite-depth solutions involving elliptic functions. We show they can also be interpreted as large

Large amplitude surface waves

  • M. Bloor
  • Physics
    Journal of Fluid Mechanics
  • 1978
A transformation technique is used to solve the problem of steady nonlinear surface waves where the restoring force is either gravity or surface tension. An exact nonlinear integro-differential