Investigation of the small-scale statistics of turbulence in the Modane S1MA wind tunnel

Bourgoin, Mickaël; Baudet, Christophe; Kharche, Swapnil; Mordant, Nicolas; Vandenberghe, Tristan; Sumbekova, Sholpan; Stelzenmuller, Nick; Aliseda, Alberto; Gibert, Mathieu; Roche, Philippe-Emmanuel; Volk, Romain; Barois, Thomas; Caballero, M. Lopez; Chevillard, Laurent; Pinton, Jean‐François; Fiabane, Lionel; Delville, J.; Fourment, C.; Bouha, Arezki; Danaila, Luminita; Bodenschatz, Eberhard; Bewley, Gregory P.; Sinhuber, Michael; Segalini, Antonio; Örlü, Ramis; Torrano, I.; Mantik, J.; Guariglia, Daniel; Uruba, Václav; Skala, Václav; Puczylowski, Jaroslaw; Peinke, Joachim

doi:10.1007/s13272-017-0254-3

Cited by 25 publications

(27 citation statements)

References 11 publications

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“…Large ap- paratuses can be built, e.g. the Modane wind tunnel [5], but are prohibitively expensive to operate, especially considering the many realizations needed for dedicated statistical studies of turbulence. To expand the inertial range the dissipative scales of size ∼ η can be decreased by lowering the kinematic viscosity ν of the working fluid demanding a higher resolution of the measurement instrument.…”

Section: A High R λ and The Variable Density Turbulence Tunnelmentioning

confidence: 99%

Experimental Study of the Bottleneck in Fully Developed Turbulence

2019

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The energy spectrum of incompressible turbulence is known to reveal a pileup of energy at those high wavenumbers where viscous dissipation begins to act. It is called the bottleneck effect [10,11,16,26,47]. Based on direct numerical simulations of the incompressible Navier-Stokes equations, results from Donzis & Sreenivasan [10] pointed to a decrease of the strength of the bottleneck with increasing intensity of the turbulence, measured by the Taylor micro-scale Reynolds number R λ . Here we report first experimental results on the dependence of the amplitude of the bottleneck as a function of R λ in a wind-tunnel flow. We used an active grid [17] in the Variable Density Turbulence Tunnel (VDTT) [3] to reach R λ > 5000, which is unmatched in laboratory flows of decaying turbulence. The VDTT with the active grid permitted us to measure energy spectra from flows of different R λ , with the small-scale features appearing always at the same frequencies. We relate those spectra recorded to a common reference spectrum, largely eliminating systematic errors which plague hotwire measurements at high frequencies. The data are consistent with a power law for the decrease of the bottleneck strength for the finite range of R λ in the experiment. arXiv:1812.01370v2 [physics.flu-dyn]

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Section: A High R λ and The Variable Density Turbulence Tunnelmentioning

confidence: 99%

Experimental Study of the Bottleneck in Fully Developed Turbulence

2019

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“…Recent experimental data have been taken behind a grid put in the test section of the wind tunnel in Modane, see Fig.1 of Ref. [17]. We got some of them in order to see if the location of the hot-wires has an effect on the detection of eventual singularities in the flow.…”

Section: -Data : Grid Turbulencementioning

confidence: 99%

A case of strong nonlinearity: Intermittency in highly turbulent flows

Pomeau

Berre

Lehner

2019

Comptes Rendus. Mécanique

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It has long been suspected that flows of incompressible fluids at large or infinite Reynolds number (namely at small or zero viscosity) may present finite time singularities. We review briefly the theoretical situation on this point. We discuss the effect of a small viscosity on the self-similar solution of the Euler equations for inviscid fluids. Then we show that single point records of velocity fluctuations in the Modane wind tunnel display correlations between large velocities and large accelerations in full agreement with scaling laws derived from Leray's equations (1934) for self-similar singular solutions of the fluid equations. Conversely those experimental velocity-acceleration correlations are contradictory to the Kolmogorov scaling laws.To cite this article: Y. Pomeau, M. Le Berre and T. Lehner, C. R. Mecanique -(2018). RésuméUn cas de forte nonlinéarité : l'intermittence en milieu turbulentà grand nombre de Reynolds. On pense depuis longtemps que lesécoulements fluides incompressiblesà grand, sinon infini, nombre de Reynolds présentent des singularités localisées en temps et en espace. Nousétudions l'effet d'une petite viscosité sur les solutions auto-semblables deséquations des fluides. Nous montrons ensuite que des enregistrements de fluctuations de vitesse dans la soufflerie de Modane présentent des corrélations entre grandes vitesses et grandes accélérations en accord complet avec les lois d'échelle déduites des solutions auto-similaires deséquations trouvées par Leray en 1934. En revanche ces corrélations sont en contradiction avec les lois d'échelle déduites de la théorie de Kolmogorov. Pour citer cet article : Y. Pomeau, M. Le Berre and T. Lehner, C. R. Mecanique -(2018). ForewordOver the years Pierre Coullet developed an outstanding research devoted to many aspects of nonlinearity in Science. With his very sure taste he chose topics with a deep geometrical underpinning, non linearity being only one element in the structure of the scientific question. In Fluid mechanics nonlinearity and geometry concur to bring forward difficult and fascinating questions. We think first to the transition to turbulence by cascade of period doubling, predicted almost simultaneously by Pierre Coullet and Charles Tresser [1] and by Mitch Feigenbaum [2]. This scenario of transition was observed slightly afterwards in fluid experiments at Ecole normale laboratory by Jean Maurer and Albert Libchaber [3]. The understanding of the transition to turbulence with a few degrees of freedom did not end research in fluid turbulence, a difficult field where real progress has always been very slow. The next step was the realization that the transition to turbulence in large systems with many degrees of freedom belongs to the class of directed percolation [4], but this cannot be seen as the end the story. A big open question remaining in fluid turbulence was raised in the 1949 paper by Batchelor and Townsend [5] where the authors discuss observations of large velocity fluctuations they attribute in, we believe, a not fully convi...

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“…The turbulence dissipation rate, assuming HIT, can be obtained from ε = 15ν < u 2 > /λ 2 . For the two larger values of Re λ , where η was not resolved, ε and λ have been obtained via the compensated second order structure function (δu) 2 (εr) 2/3 (Re λ = 380) or by matching the shape of [26], M a for Malecot [16], M I for the Modane inflatable grid-turbulence experiment [4] and M o for the Modane measurements of Gagne et al [7] the integral scale too but without FRN effects coming from C ε . F is found to be larger than 0.2 and f larger than 0.4 for all r larger or equal to L/5 in all data sets.…”

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confidence: 99%

The non-equilibrium part of the inertial range in decaying homogeneous turbulence

Obligado¹,

Vassilicos²

2019

EPL

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We use two related non-stationarity functions as measures of the degree of scaleby-scale non-equilibrium in homogeneous isotropic turbulence. The values of these functions indicate significant non-equilibrium at the upper end of the inertial range. Wind tunnel data confirm Lundgren's (2002Lundgren's ( , 2003 prediction that the two-point separation r where the second and third order structure functions are closest to their Kolmogorov scalings is proportional to the Taylor length scale λ, and that both structure functions increasingly distance themselves from their Kolmogorov equilibrium form as r increases away from λ throughout the inertial range. With the upper end of the inertial range in non-equilibrium irrespective of Reynolds number, it is not possible to justify the Taylor-Kolmogorov turbulence dissipation scaling on the basis of Kolmogorov equilibrium.

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Investigation of the small-scale statistics of turbulence in the Modane S1MA wind tunnel

Abstract: International audienc

Cited by 25 publications

References 11 publications

Experimental Study of the Bottleneck in Fully Developed Turbulence

Experimental Study of the Bottleneck in Fully Developed Turbulence

A case of strong nonlinearity: Intermittency in highly turbulent flows

The non-equilibrium part of the inertial range in decaying homogeneous turbulence

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