Abstract
This article describes the planning, set-up, turbulence characterization and analysis of measurements of a passive grid turbulence experiment that was carried out in the S1MA wind-tunnel from ONERA in Modane, in the context of the ESWIRP European project. This experiment aims at a detailed investigation of the statistical properties of turbulent flows at large Reynolds numbers. The primary goal is to take advantage of the unequaled large-scale dimensions of the ONERA S1MA wind-tunnel facility, to make available to the broad turbulence community high-quality experimental turbulence data with unprecendented resolution (both spatial and temporal) and accuracy (in terms of statistical convergence). With this goal, we designed the largest grid-generated turbulence experiment planned and performed to date. Grid turbulence is a canonical flow known to produce almost perfectly homogeneous and isotropic turbulence (HIT) which remains a unique framework to investigate fundamental physics of turbulent flows. Here, we present a brief description of the measurements, in particular those based on hot-wire diagnosis. By comparing results from classical hot-wires and from a nano-fabricated wire (developed at Princeton University), we show that our goal of resolving down to the smallest dissipative scales of the flow has been achieved. We also present the full characterization of the turbulence here, in terms of turbulent energy dissipation rate, injection and dissipation scales (both spatial and temporal) and Reynolds number.
Similar content being viewed by others
References
Arneodo, A., Baudet, C., Belin, F., Benzi, R., Castaing, B., Chabaud, B., Chavarria, R., Ciliberto, S., Camussi, R., Chillà, F., Dubrulle, B., Gagne, Y., Hebral, B., Herweijer, J., Marchand, M., Maurer, J., Muzy, J.F., Naert, A., Noullez, A., Peinke, J., Roux, F., Tabeling, P., van de Water, W., Willaime, H.: Structure functions in turbulence, in various flow configurations, at Reynolds number between 30 and 5000, using extended self-similarity. EPL 34(6), 411–416 (1996)
Arneodo, A., Benzi, R., Berg, J., Biferale, L., Bodenschatz, E., Busse, A., Calzavarini, E., Castaing, B., Cencini, M., Chevillard, L., Fisher, R.T., Grauer, R., Homann, H., Lamb, D., Lanotte, A.S., Leveque, E., Luethi, B., Mann, J., Mordant, N., Mueller, W.C., Ott, S., Ouellette, N.T., Pinton, J.F., Pope, S.B., Roux, S.G., Toschi, F., Xu, H., Yeung, P.K.: Universal intermittent properties of particle trajectories in highly turbulent flows. Phys. Rev. Lett. 100(25), 254504 (2008)
Bailey, S.C.C., Kunkel, G.J., Hultmark, M., Vallikivi, M., Hill, J.P., Meyer, K.A., Tsay, C., Arnold, C.B., Smits A.J.: Turbulence measurements using a nanoscale thermal anemometry probe. J. Fluid Mech. 663, 160–179 (2010)
Chevillard, L., Castaing, B., Arneodo, A., Lévêque, E., Pinton, J.F., Roux, S.G.: A phenomenological theory of Eulerian and Lagrangian velocity fluctuations in turbulent flows. Comptes Rendus Physique 13(9–10), 899–928 (2012)
Comte-Bellot, G., Corrsin, S.: Simple Eulerian time correlation of full- and narrow- band velocity signals in grid-generated ’isotropic’ turbulence. J. Fluid Mech. 48, 273–337 (1971)
Frisch, U.: Turbulence: The Legacy of A. N. Kolmogorov. Cambridge University Press, Cambridge (1995)
Kolmogorov, A.N.: Dissipation of energy in the locally isotropic turbulence. Dokl. Akad. Nauk SSSR 32, 16–18 (1941)
Kolmogorov, A.N.: Refining the Notions of the Local Structure of Turbulence in an Incompressible Viscous Fluid at High Reynolds Numbers. In: Mecanique de la turbulence, pp. 447–458. CNRS, Paris (1962)
Pope, S.B.: Turbulent Flows. Cambridge University Press, Cambridge (2000)
Puczylowski, J., Hölling, M., Peinke, J.: Measurements with a 2D Laser-Cantilever-Anemometer compared to an x-wire probe. Proc. Appl. Math. Mech. 2, 1–2 (2009)
Richter, J.P.: Plate 20 and Note 389. In the notebooks of Leonardo da Vinci. Dover, New York (1970)
Sreenivasan, K.R.: On the universality of the Kolmogorov constant. Phys. Fluids 7(3), 2778–2784 (1995)
Vincent, A., Meneguzzi, M.: The spatial structure and statistical properties of homogeneous turbulence. J. Fluid Mech. 225(1), 1–20 (1991)
Acknowledgements
We acknowledge the European Union for its support via the ESWIRP project (FP7/2007–2013 under grant agreement No. 227816) for the access to the S1MA wind tunnel from ONERA and the EuHIT project (Grant Agreement No. 312778) for probes development. We thank the CNRS, the Ecole Normale Supérieure de Lyon (France), the CORIA (Rouen, France) the Institut Néel and the LEGI (Grenoble, France) for their financial support. We are extremely grateful to the ONERA, and in particular to Jean-François Piat, Bernard Genoulaz and Emmanuel Durieux, for their help and precious technical support without whom the realization of this experiment would have never been possible. We are also grateful to Pierre Jaricot, from Certec\(^ {\circledR }\), for his advice and expertise for the design and manufacturing of the inflatable grid. This manuscript is dedicated to the memory of Carine and Joël. They will never be forgotten.
Author information
Authors and Affiliations
Author notes
Carine Fourment and Joel Delville died in a terrible car accident on their way back from Modane, where the experiment presented in this document was carried out. We miss them immensely.
This paper is based on a presentation at the CEAS Air and Space Conference 2015, September 7–11, Delft, The Netherlands.
Corresponding author
Additional information
This paper is based on a presentation at the CEAS Air and Space Conference 2015, September 7–11, Delft, The Netherlands.
Rights and permissions
About this article
Cite this article
Bourgoin, M., Baudet, C., Kharche, S. et al. Investigation of the small-scale statistics of turbulence in the Modane S1MA wind tunnel. CEAS Aeronaut J 9, 269–281 (2018). https://doi.org/10.1007/s13272-017-0254-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13272-017-0254-3