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Nonlinear dynamics of the free surface of finite depth non-conducting fluid with high dielectric constant subjected to a strong horizontal electric field is considered. Using the conformal transformation of the region occupied by the fluid…

Fluid Dynamics · Physics 2018-03-14 Evgeny A. Kochurin , Nikolay M. Zubarev

We report the experimental characterization of free-surface deformations generated by three-dimensional homogeneous and isotropic turbulence. Using Fourier transform profilometry in a jet-forced turbulent tank, we perform spatiotemporal…

Fluid Dynamics · Physics 2026-05-14 Michaël Berhanu , Eric Falcon

We report on direct numerical simulation of quasi-one-dimensional bidirectional capillary-wave turbulence. Although nontrivial three-wave and four-wave resonant interactions are absent in this peculiar geometry, we show that an energy…

Fluid Dynamics · Physics 2020-12-30 Evgeny Kochurin , Guillaume Ricard , Nikolay Zubarev , Eric Falcon

Wave turbulence and eddy turbulence are the two regimes that we may encounter in nature. The attention of fluid mechanics being mainly focused on incompressible hydrodynamics, it is usually the second regime that is treated in books,…

Fluid Dynamics · Physics 2024-02-26 Sebastien Galtier

We report on the observation of gravity-capillary wave turbulence on the surface of a fluid in a high-gravity environment. By using a large-diameter centrifuge, the effective gravity acceleration is tuned up to 20 times the Earth gravity.…

The motion of an object within a viscous fluid and in the vicinity of a soft surface induces a hydrodynamic stress field that deforms the latter, thus modifying the boundary conditions of the flow. This results in elastohydrodynamic (EHD)…

Soft Condensed Matter · Physics 2023-06-22 Vincent Bertin , Yacine Amarouchene , Elie Raphael , Thomas Salez

Nonlinear dynamics of the free surface of an ideal incompressible non-conducting fluid with high dielectric constant subjected by strong horizontal electric field is simulated on the base of the method of conformal transformations. It is…

Fluid Dynamics · Physics 2018-04-04 Evgeny A. Kochurin

We report experiments on gravity-capillary wave turbulence on the surface of a fluid. The wave amplitudes are measured simultaneously in time and space using an optical method. The full space-time power spectrum shows that the wave energy…

Fluid Dynamics · Physics 2010-10-01 Eric Herbert , Nicolas Mordant , Eric Falcon

Decaying electron magnetohydrodynamic (EMHD) turbulence in three dimensions is studied via high-resolution numerical simulations. The resulting energy spectra asymptotically approach a k^{-2} law with increasing R_B, the ratio of the…

Plasma Physics · Physics 2015-05-13 C. J. Wareing , R. Hollerbach

We present numerical simulations of electron magnetohydrodynamic (EMHD) and electron reduced MHD (ERMHD) turbulence. Comparing scaling relations, we find that both EMHD and ERMHD turbulence show similar spectra and anisotropy. We develop…

Earth and Planetary Astrophysics · Physics 2009-07-24 Jungyeon Cho , A. Lazarian

We report the observation of capillary wave turbulence on the surface of a fluid layer in a low-gravity environment. In such conditions, the fluid covers all the internal surface of the spherical container which is submitted to random…

Other Condensed Matter · Physics 2009-05-06 Claudio Falcon , Eric Falcon , Umberto Bortolozzo , Stéphan Fauve

Using the FLUIDICS (Fluid Dynamics in Space) experiment in the International Space Station, turbulence of capillary waves at the air-water interface is experimentally investigated in weightlessness. Capillary waves are excited in a…

Fluid Dynamics · Physics 2020-06-14 Michael Berhanu , Eric Falcon , Guillaume Michel , Christophe Gissinger , Stéphan Fauve

Modern, high-fidelity numerical simulations have shown an apparently anomalous result: a longitudinal elastodynamic wave travelling perpendicular to the forcing direction. Numerical simulations, in combination with an analytical model, are…

Applied Physics · Physics 2024-06-24 Peter Huthwaite

This work presents Direct Numerical Simulations of capillary wave turbulence solving the full 3D Navier Stokes equations of a two-phase flow. When the interface is locally forced at large scales, a statistical stationary state appears after…

Fluid Dynamics · Physics 2014-07-21 Luc Deike , Daniel Fuster , Michaël Berhanu , Eric Falcon

A new type of instability - electrokinetic instability - and an unusual transition to chaotic motion near a charge-selective surface was studied by numerical integration of the Nernst-Planck-Poisson-Stokes system and a weakly nonlinear…

Fluid Dynamics · Physics 2014-02-17 E. A. Demekhin , N. V. Nikitin , V. S. Shelistov

We consider capillary wave turbulence at scales larger than the forcing one. At such scales, our measurements show that the surface waves dynamics is the one of a thermal equilibrium state in which the effective temperature is related to…

Fluid Dynamics · Physics 2017-04-12 G. Michel , F. Pétrélis , S. Fauve

A non-local cascade model for anisotropic MHD turbulence in the presence of a guiding magnetic field is proposed. The model takes into account that (a) energy cascades in an anisotropic manner and as a result a different estimate for the…

Fluid Dynamics · Physics 2009-11-13 Alexandros Alexakis

We have performed three dimensional nonlinear fluid simulations of electron fluid turbulence at nanoscales in an unmagnetized warm dense plasma in which mode coupling between wave function and electrostatic potential associated with…

Plasma Physics · Physics 2009-11-13 Dastgeer Shaikh , P. K. Shukla

It is necessary to introduce an external forcing to induce turbulence in a stably stratified fluid. The Heisenberg eddy viscosity technique should in this case suffice to calculate a space-time averaged quantity like the global anisotropy…

Fluid Dynamics · Physics 2020-01-08 Jayanta K. Bhattacharjee , Abhishek Kumar , Mahendra K. Verma

A numerical study of the $d$-dimensional Eddy Damped Quasi-Normal Markovian equations is performed to investigate the dependence on spatial dimension of homogeneous isotropic fluid turbulence. Relationships between structure functions and…

Fluid Dynamics · Physics 2023-01-31 Daniel Clark , Richard Ho , Arjun Berera