Summary
We report Lagrangian laboratory measurements of fluid turbulence at high Reynolds numbers. First, the experimental techniques that have made Lagrangian measurements possible, including both optical and acoustic particle tracking, are reviewed. Then some of the laboratory flows used in Lagrangian measurements are described and a selection of new experimental results are presented.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. N. Kolmogorov. The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Dokl. Akad. Nauk SSSR, 30:301–305, 1941a.
U. Frisch. Turbulence: The Legacy of A. N. Kolmogorov. Cambridge University Press, Cambridge, England, 1995.
A. S. Monin and A. M. Yaglom. Statistical Fluid Mechanics, volume 1. MIT Press, Cambridge, MA, 1971.
M. Pashtrapanshka and W. van de Water. The dispersion of microscopic molecular clouds in turbulence. Bull. Am. Phys. Soc., 50:153–154, 2005.
A. La Porta, G. A. Voth, A. M. Crawford, J. Alexander, and E. Bodenschatz. Fluid particle accelerations in fully developed turbulence. Nature, 409:1017–1019, 2001.
G. A. Voth, A. La Porta, A. M. Crawford, J. Alexander, and E. Bodenschatz. Measurement of particle accelerations in fully developed turbulence. J. Fluid Mech., 469:121–160, 2002.
N. Mordant, A. M. Crawford, and E. Bodenschatz. Experimental Lagrangian acceleration probability density function measurement. Physica D, 193:245–251, 2004.
S. Ayyalasomayajula, A. Gylfason, L. R. Collins, E. Bodenschatz, and Z. Warhaft. Lagrangian measurements of inertial particle accelerations in grid generated wind tunnel turbulence. Phys. Rev. Lett., 97:144507, 2006.
W.-C. Chiu and L. N. Rib. The rate of dissipation of energy and the energy spectrum in a low-speed turbulent jet. T. Am. Geophys. Union, 37:13–26, 1956.
G. A. Voth, K. Satyanarayan, and E. Bodenschatz. Lagrangian acceleration measurements at large Reynolds numbers. Phys. Fluids, 10:2268–2280, 1998.
G. A. Voth. Lagrangian acceleration measurements in turbulence at large Reynolds numbers. PhD thesis, Cornell University, 2000.
G. Pan and H. Meng. Digital holography of particle fields: Reconstruction by use of complex amplitude. Appl. Opt., 42:827–833, 2003.
M. Wu, J. W. Roberts, and M. Buckley. Three-dimensional fluorescent particle tracking at micron-scale using a single camera. Exp. Fluids, 38:461–465, 2005.
H.-G. Maas, A. Gruen, and D. Papantoniou. Particle tracking velocimetry in three-dimensional flows—Part 1. Photogrammetric determination of particle coordinates. Exp. Fluids, 15:133–146, 1993.
N. A. Malik, Th. Dracos, and D. A. Papantoniou. Particle tracking velocimetry in three-dimensional flows—Part 2. Particle tracking. Exp. Fluids, 15:279–294, 1993.
Th. Dracos. Particle tracking in three-dimensional space. In Th. Dracos, editor, Three-Dimensional Velocity and Vorticity Measuring and Image Analysis Techniques, pages 129–152. Kluwer Academic Publishers, Dordrecht, the Nether-lands, 1996.
J. Mann, S. Ott, and J. S. Andersen. Experimental study of relative, turbulent diffusion. Technical Report Risø-R-1036(EN), Risø National Laboratory, 1999.
N. T. Ouellette, H. Xu, and E. Bodenschatz. A quantitative study of three-dimensional Lagrangian particle tracking algorithms. Exp. Fluids, 40:301–313, 2006.
Y. G. Guezennec, R. S. Brodkey, N. Trigui, and J. C. Kent. Algorithms for fully automated three-dimensional particle tracking velocimetry. Exp. Fluids, 17:209–219, 1994.
G. E. Elsinga, F. Scarano, B. Wieneke, and B. W. van Oudheusden. Tomo-graphic particle image velocimetry. Exp. Fluids, 41:933–947, 2006.
N. Mordant, P. Metz, O. Michel, and J.-F. Pinton. Measurement of Lagrangian velocity in fully developed turbulence. Phys. Rev. Lett., 87:214501, 2001.
N. Mordant. Mesure lagrangienne en turbulence: mise en œuvre et analyse.PhD thesis, École Normale Supérieure de Lyon, 2001.
N. Mordant, P. Metz, J.-F. Pinton, and O. Michel. Acoustical technique for Lagrangian velocity measurement. Rev. Sci. Instr., 76:025105, 2005.
N. Mordant, J.-F. Pinton, and O. Michel. Time-resolved tracking of a sound scatterer in a complex flow: Nonstationary signal analysis and applications. J. Acoustical Soc. Am., 112:108–118, 2002.
N. Mordant, E. Lévêque, and J.-F. Pinton. Experimental and numerical study of the Lagrangian dynamics of high Reynolds turbulence. New J. Phys., 6:116, 2004.
M. Kinzel, H. Nobach, C. Tropea, and E. Bodenschatz. Measurement of Lagrangian acceleration using the laser Doppler technique. In Proc. of the 13th International Symposium on Applications of Laser Techniques to Fluid Mechanics, June 26-29, 2006, Lisbon, Portugal. 2006.
N. Mordant, R. Volk, A. Petrosyan, and J.-F. Pinton. Lagrangian measurements using doppler techniques: Laser and ultrasound. Stirring and mixing: The Lagrangian approach workshop, Leiden, The Netherlands, 2006.
Y. Sato and K. Yamamoto. Lagrangian measurement of fluid-particle motion in an isotropic turbulent field. J. Fluid Mech., 175:183–199, February 1987.
M. Virant and Th. Dracos. 3D PTV and its application on Lagrangian motion. Meas. Sci. Technol., 8:1539–1552, 1997.
A. M. Crawford, N. Mordant, and E. Bodenschatz. Joint statistics of the Lagrangian acceleration and velocity in fully developed turbulence. Phys. Rev. Lett., 94:024501, 2005.
M. Bourgoin, N. T. Ouellette, H. Xu, J. Berg, and E. Bodenschatz. The role of pair dispersion in turbulent flow. Science, 311:835–838, 2006.
B. Lüthi, A. Tsinober, and W. Kinzelbach. Lagrangian measurements of vorticity dynamics in turbulent flow. J. Fluid Mech., 528:87–118, 2005.
W. Hwang and J. K. Eaton. Creating homogeneous and isotropic turbulence without a mean flow. Exp. Fluids, 36:444–454, 2004.
E. A. Variano, E. Bodenschatz, and E. A. Cowen. A random synthetic jet array driven turbulence tank. Exp. Fluids, 37:613–615, 2004.
N. T. Ouellette. Probing the statistical structure of turbulence with measurements of tracer particle tracks. PhD thesis, Cornell University, 2006.
H. Xu, M. Bourgoin, N. T. Ouellette, and E. Bodenschatz. High order Lagrangian velocity statistics in turbulence. Phys. Rev. Lett., 96:024503, 2006.
B. L. Sawford. Turbulent relative dispersion. Annu. Rev. Fluid Mech., 33:289–317, 2001.
P. K. Yeung. Lagrangian investigations of turbulence. Annu. Rev. Fluid Mech., 34:115–142, 2002.
N. T. Ouellette, H. Xu, M. Bourgoin, and E. Bodenschatz. Small-scale anisotropy in Lagrangian turbulence. New J. Phys., 8:102, 2006.
P. K. Yeung, S. B. Pope, and B. L. Sawford. Reynolds number dependence of Lagrangian statistics in large numerical simulations of isotropic turbulence. J. Turbul., 7:58, 2006.
J. Berg, B. Lüthi, J. Mann, and S. Ott. Backwards and forwards relative dispersion in turbulent flow: An experimental investigation. Phys. Rev. E, 74:016304, 2006.
L. Biferale, G. Boffetta, A. Celani, B. J. Devenish, A. Lanotte, and F. Toschi. Multiparticle dispersion in fully developed turbulence. Phys. Fluids, 17:111701, 2005.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Xu, H., Ouellette, N.T., Nobach, H., Bodenschatz, E. (2007). Experimental Measurements of Lagrangian Statistics in Intense Turbulence. In: Palma, J., Lopes, A.S. (eds) Advances in Turbulence XI. Springer Proceedings Physics, vol 117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72604-3_1
Download citation
DOI: https://doi.org/10.1007/978-3-540-72604-3_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72603-6
Online ISBN: 978-3-540-72604-3
eBook Packages: EngineeringEngineering (R0)