mode propre inertiel

08:25 Jul 27, 2018
French to English translations [PRO]
Science - Physics / physics of fluids
French term or phrase: mode propre inertiel
Patent to do with a mixer device. This expression occurs multiple other times in addition to these:

"le rapport d'aspect H/R de la hauteur H sur le rayon R et la vitesse angulaire de rotation Q sont choisis de manière à observer une résonance instable d'un mode propre inertiel du liquide à mélanger lorsque le récipient est incliné et en rotation."

"D'une manière générale, un mode propre inertiel peut être défini comme un mouvement global d'un liquide tournant, le mouvement étant :
- périodique ou stationnaire en temps,
- sinusoïdal selon l'angle azimutal 0, et
- forcé par une perturbation du liquide."

"appliquer un mouvement de rotation au récipient suivant l'axe A et avec une vitesse angulaire de rotation Q, le rapport d'aspect H/R de la hauteur H sur le rayon R et la vitesse angulaire de rotation Q étant choisis de manière à observer une résonance instable d'un mode propre inertiel du liquide."

"Le rapport d'aspect H/R de la hauteur H sur le rayon R est avantageusement choisi de manière à se placer dans une résonance d'un mode propre inertiel du liquide à mélanger 2."

"La vitesse angulaire de rotation Q du récipient 1 est avantageusement choisie de manière à observer une résonance instable du mode propre inertiel du liquide 2 placé dans le récipient 1 incliné et en rotation. On entend par « instable » le fait que d'autres mouvements, différents du mouvement du mode propre inertiel, apparaissent au sein du liquide 2 sans contrainte extérieure supplémentaire. Le mélange au sein du liquide 2 est en effet meilleur lorsque la résonance est instable."

The expression "inertial eigenmode" can be found by searching: it appears to cover pretty much the right area of physics. I'd be quite surprised if it could be anything else. But it would be great if someone with suitable expertise in this area could confirm or deny...
United Kingdom
Local time: 17:01

Summary of answers provided
4 +1inertial (normal) mode
3inertial natural mode (or natural mode of inertia)
Johannes Gleim

Discussion entries: 1



11 hrs   confidence: Answerer confidence 3/5Answerer confidence 3/5
inertial natural mode (or natural mode of inertia)

Obviously the source is already (automatically) translated from German to French as "Eigen..." is German.

Therfore I looked for similar physical terms in German like "Eigenfrequenz":

Area Oscillations, signals and related devices / Frequencies IEV ref702-01-07

en natural frequency
any frequency at which free oscillation can exist in a physical system when the excitation has been removed

fr fréquence propre, f
fréquence à laquelle peut subsister une oscillation libre dans un système physique lorsque l'apport d'énergie extérieure a cessé

de Eigenfrequenz, f

The same principle can be applied to other German terms as well.

Johannes Gleim
Local time: 18:01
Works in field
Native speaker of: Native in GermanGerman
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1 day 2 hrs   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): +1
inertial (normal) mode

This doesn't seem to be a common expression. 'Un mode inertiel' should be the same thing.
The mean flow generation mechanism by nonlinearity of the inertial normal modes and inertial wave beams in a rotating annular cavity with longitudinally librating walls in stable regime is discussed. Inertial normal modes (standing waves) are excited when libration frequency matches eigenfrequencies of the system. Inertial wave beams are produced by Ekman pumping and suction in a rotating cylinder and form periodic orbits or periodic ray trajectories at selected frequencies.
A normal mode of an oscillating system is a pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation. The free motion described by the normal modes takes place at the fixed frequencies. These fixed frequencies of the normal modes of a system are known as its natural frequencies or resonant frequencies. ...
In physics and engineering, for a dynamical system according to wave theory, a mode is a standing wave state of excitation, in which all the components of the system will be affected sinusoidally under a specified fixed frequency.
In free space, an inertial wave can exist at any frequency between 0 and twice the rotation rate. A closed container, however, can impose restrictions on the possible frequencies of inertial waves, as it can for any kind of wave. Inertial waves in a closed container are often called inertial modes. In a sphere, for example, the inertial modes are forced to take on discrete frequencies, leaving gaps where no modes can exist.
Suivant une récente analyse théorique et numérique de Tilgner (Phys. Rev. Lett., 99, 2007), nous observons pour la première fois expérimentalement que l’auto-intéraction non-linéaire d’un mode inertiel avec lui-même peut conduire à un écoulement axisymétrique intense dans une sphère en rotation sous forme de zones de cisaillement.
Following a recent theoretical and numerical analysis of Tilgner (2007), we present the first experimental evidence that the nonlinear self-interaction of a tidally forced inertial mode can drive an intense axisymmetric flow in a rotating sphere.
Using the simple model of an incompressible fluid, we have computed the eigenfrequencies of the lowest-order inertial modes (azimuthal wavenumber m = 0,1,2) in a spherical shell with the same aspect ratio as the liquid core of the Earth. The computed eigenfunctions show that all inertial modes have strong oscillating shear layers. For the very low Ekman number appropriate to the core, these layers might be the origin of some small-scale turbulence through shear instabilities.

Local time: 18:01
Native speaker of: Native in EnglishEnglish

Peer comments on this answer (and responses from the answerer)
agree  Kim Metzger
1 hr
  -> Thanks, Kim!
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