> Instabilities, Waves and Turbulence
> Inertial waves in a rotating fluid
Inertial waves in rotating fluids
A fluid rotating at constant angular velocity supports a specific and unusual class of waves, called inertial waves,
which propagate in the interior of the fluid. These waves are of primary importance in geophysical and astrophysical flows (in ocean,
atmosphere and liquid core of planets, in rotating stars,...), in which cases they are often coupled with density stratification effects.
Pure inertial waves are also relevant to industrial flows, such as spacecrafts fuel tanks or liquid-filled ballistics. The most
striking properties of these waves arise from their anisotropic dispersion, leading to a number of non-intuitive geometrical
behaviors: an energy propagation normal to the phase propagation (see fig. 1), a wavelength independent of the wave frequency
leading, for example, to anomalous reflection on solid boundaries.
In our experiments, inertial waves are generated either by oscillating wavemakers leading to propagative wave beams (fig. 1) or wave attractors (see the paper [arXiv:1902.00411]),
moving objects leading to wake of inertial waves (fig. 2), or by harmonic perturbations of the fluid container rotation, which mimic planets harmonic motions,
leading to both propagative wave beams and resonant modes (fig. 3).
These experiments are performed on the specifically designed "Gyroflow" rotating platform.
Velocity fields are measured in the rotating frame by means of a corotating particle image velocimetry system.
In these experiments, we study how the waves are excited and how their amplitude decays under the action of viscosity.
We also study the non-linear instabilities and interactions which can affect the inertial waves. Such processes can be at the origin of
permanent "zonal" winds in the atmosphere, ocean or liquid core of planets. The non-linear interactions between inertial waves is also
a fundamental ingredient of the modification of turbulence by global rotation, leading notably to an inhibition of energy transfers between
spatial scales due to phase scrambling effect (wave turbulence).
- Linear and nonlinear regimes of an inertial wave attractor
M. Brunet, T. Dauxois, P.-P. Cortet, accepted, to be published in Physical Review Fluids (2019) [arXiv:1902.00411]
- Wake of inertial waves of a horizontal cylinder in horizontal translation
N. Machicoane, V. Labarre, B. Voisin, F. Moisy, P.-P. Cortet, Physical Review Fluids 3 034801 (2018)
- Two-dimensionalization of the flow driven by a slowly rotating impeller in a rapidly rotating fluid,
N. Machicoane, F. Moisy, P.-P. Cortet, Physical Review Fluids 1 073701 (2016)
- Influence of the multipole order of the source on the decay of an inertial wave beam in a rotating fluid
N. Machicoane, P.-P. Cortet, B. Voisin, F. Moisy, Physics of Fluids 27 066602 (2015)
- Disentangling inertial waves from eddy turbulence in a forced rotating-turbulence experiment
A. Campagne, B. Gallet, F. Moisy, P.-P. Cortet , Physical Review E 91 043016 (2015)
- Inertial waves and modes excited by the libration of a rotating cube
J. Boisson, C. Lamriben, L.R.M. Maas, P.-P. Cortet, F. Moisy, Physics of Fluids 24 076602 (2012)
- Earth rotation prevents exact solid body rotation of fluids in the laboratory
J. Boisson, D. Cébron, F. Moisy, P.-P. Cortet, EPL 98 59002 (2012) [PDF]
Selected in "EPL Highlights 2012"
- Experimental evidence of a triadic resonance of plane inertial waves in a rotating fluid
G. Bordes, F. Moisy, T. Dauxois, P.-P. Cortet, Physics of Fluids 24 014105 (2012) [PDF]
- Excitation of inertial modes in a closed grid turbulence experiment under rotation
C. Lamriben, P.-P. Cortet, F. Moisy, L. R. M. Maas, Physics of Fluids 23 015102 (2011) [PDF]
- Viscous spreading of an inertial wave beam in a rotating fluid
P.-P. Cortet, C. Lamriben, F. Moisy, Physics of Fluids 22 086603 (2010) [PDF]
- Experimental observation using particle image velocimetry of inertial waves in a rotating fluid
L. Messio, C. Morize, M. Rabaud, F. Moisy, Exp. in Fluids 44, 519–528 (2008) [PDF]