Polygone scientifique
picture above : Grenoble "Polygone Scientifique" from St Martin le Vinoux.


Other written productions : Popular science writtings, Thesis


PhD thesis and Habilitation thesis


Modélisation et simulation des écoulements de contre-courant de l’hélium superfluide par la méthode Boltzmann sur réseau
Jonathan BERTOLACCINI, PhD thesis of ENS de Lyon
In co-direction with E. Lévèque
archive TEL


Quantum turbulence versus Classical turbulence
Julien SALORT, PhD thesis of Grenoble university
archive TEL


Nominates of 2012 PhD price of the Université de Grenoble (over 4000 PhD students)
credit Université de Grenoble - Christophe Levet


Convection turbulente dans une cellule de Rayleigh-Bénard cryogénique : de nouveaux éléments en faveur du Régime Ultime de Kraichnan, PhD thesis of the Université Joseph Fourier
archive TEL


High cryogenic Reynolds experiment : GReC
Sylvain PIETROPINTO, PhD thesis of the Université Joseph Fourier


Turbulent convection in cryogenic Rayleigh-Bénard cells
Philippe-E. ROCHE, PhD thesis of the Université Joseph Fourier
archive TEL


Towards dissipative scales in a gaseous Helium jet at low temperature
Olivier CHANAL, PhD thesis of the Université Joseph Fourier


Etude du régime turbulent en convection de Rayleigh-Bénard dans l'hélium liquide ou gazeux autour de 5 K
Xavier CHAVANNE, PhD thesis of the Université Joseph Fourier


Turbulence dans un jet d'hélium à basse température
Antoine NAERT, PhD thesis of the Université Joseph Fourier


Etude de la turbulence dans un jet d'hélium gazeux à basse température
Benoit CHABAUD, PhD thesis of the Université Joseph Fourier




Popularization science writtings


Area of Turbulence, by Anaïs Schaeffer [CERN Bulletin Issue No. 32-33/2015]
Monday 3 August 2015

As a member of the EuHIT (European High-Performance Infrastructures in Turbulence) consortium, CERN is participating in fundamental research on turbulence phenomena. To this end, the Laboratory provides European researchers with a cryogenic research infrastructure, where the first tests have just been performed.... (to continue)

Fig.: The last day of data collection, July 2015.


The turbulent superfluid cascade [ Institut Néel Highlights 2012 ]

Stirring a honey pot with a spoon is awkward because the fluid viscosity damps the flow very efficiently. By contrast, in a less viscous fluid such as coffee in a cup, a slight movement of a spoon will generate eddies of different sizes. If the fluid is even less viscous, or if the mechanical stirring is more intense, a hierarchy between eddies of different sizes appears: the flow is turbulent. In 1941, the Russian mathematician Andrei Kolmogorov described this hierarchy of eddies with the image of an energy cascade : mechanical stirring feeds the largest eddies, which transfer their energy to smaller eddies and so on until the viscosity effectively inhibits any further whirling motion and dissipates energy into heat.
What does this cascade of energy become in a fluid with zero viscosity ? An exotic liquid allows us to address this question experimentally : superfluid helium. Below 2.17 K, liquid helium enters a quantum phase, the "He-II" state. It then acquires the remarkable capability of flowing without experiencing any viscosity. Exploring the turbulent cascade of a superfluid, however, raises two experimental challenges: creating a suitable cryogenic flow and probing the velocity fluctuations in the superfluid.
To answer these questions, the Institut Néel has developed a cryogenic "wind tunnel". We have named this apparatus "TOUPIE" (our acronym for “TOUrne Par l’Intérieur et l’Extérieur”, refering to the rotational degrees of freedom in the design of the experiment, and also the French word for a spinning top). It produces a closed, permanent flow of liquid helium along a record path of 2 metres (see Fig. 1) at temperatures from 4 K down to 1.5 K. It can operate with superfluid helium (He-II), and also with "viscous" liquid helium (the "He-I" state, above 2.17 K), thereby allowing direct comparison between the two cascades. The second challenge was to improve significantly the spatial resolution of the best probes for measuring velocity in a superfluid. Among the innovative sensors devised and developed, the one shown in Fig. 2 is a micro-machined silicon cantilever, coupled to an ultra-sensitive superconducting resonator diverted from its original astrophysics destination: the detection of cosmic particles.
The combination of this unique cryogenic wind tunnel with the smallest superfluid probes allowed us to compare the turbulent cascades of a classical fluid with those of a superfluid, with an unprecedented resolution. In particular, we found the first direct evidence that superfluid eddies can cascade from large to small scales in a fashion similar to that of classical eddies. This evidence came from the Kármán-Howarth "4/5 law", the only exact relation in turbulence (named after a factor 4/5 in the equation that relates the amount of energy carried by the turbulent cascade and a dissymmetric statistics of the velocity gradients). Comparing our data with the Kármán-Howarth law, we found that this law remains valid in a superfluid.
The next challenge is to understand how, in the superfluid, a non-viscous dissipation process replaces the effects of viscosity, especially in the limit of relatively low temperatures (~ 1 K). A second version of the TOUPIE wind-tunnel is in preparation to reach this lower temperature range.

Left fig.: The TOUPIE wind-tunnel. At right: details of the high-stiffness, low-conductivity mechanical structure (top); cryogenic propeller specially optimised for liquid helium (middle); and probe holders with miniature Pitot-tube velocity sensors (bottom).
Right fig.: Micro-machined velocity probe based on the deflection of a 1 micron thick, 100 micron wide, silicon cantilever by the moving fluid. Main image shows the V-shaped probe-holder with the cantilever at its tip. The upper insert shows a general top-view onto the probe holder. The bottom insert is a zoomed top-view of the cantilever itself, carrying a circuit which is part of a superconducting resonator whose frequency varies with the cantilever's deflection. Device fabricated at Grenoble's Plateforme Technologique Amont.


Local velocity probe for cryogenic helium [ Renatech newsletter, June 2011 ]

The experimental study of superfluid turbulence, ie. the hydrodynamics of strongly stirred liquid helium at very low temperature (T < 2.17 K) requires specifically designed local probes. These probes need to be both very small and highly sensitive to measure the small scale velocity fluctuations that are fast and have a low amplitude.

To do this, we designed a cryogenic velocity probe based on a cantilever. The sensitive element of the probe is the cantilever tip (300 µm long, 100 µm wide, 1 to 10 µm thick), etched in a bulk silicon wafer using fluoride Deep Reactive Ion Etching. This tip is immersed in the bulk of a flow and gets deflected by the incoming fluid. The amplitude of this deflection is proportional to the square of the flow velocity in the vicinity of the cantilever tip. A precise measurement of the deflection fluctuations is achieved using a radio-frequency superconducting niobium LC resonator sputtered on the tip whose resonance frequency shifts when the cantilever is elongated.

This technique prevented us to allow the presence of any disordered dielectric material on the sample because they would lead to phase noise of the LC resonator. This precluded us from using an oxide barrier layer. Therefore we had to devise a way to properly tune the thickness. We used the etching machine refrigerating helium leak rate as an progress indicator. The first prototype has been cooled down and tested recently and showed good performances, similar to these of the best probes known to work in superfluid helium, and we believe that we can improve them even further in a near future.

Plan du site

Ph.R. Jan, 2012