Acceleration statistics of finite-sized particles in turbulent flow: the role of Faxen forces

Article, Preprint English OPEN
Calzavarini , Enrico ; Volk , Romain ; Bourgoin , Mickaël ; Lévêque , Emmanuel ; Pinton , Jean-François ; Toschi , Federico (2009)
  • Publisher: Cambridge University Press (CUP)
  • Related identifiers: doi: 10.1017/S0022112009006880
  • Subject: Physics - Fluid Dynamics | [ SPI.MECA.MEFL ] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph] | [ PHYS.MECA.MEFL ] Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph]

International audience; The dynamics of particles in turbulence when the particle size is larger than the dissipative scale of the carrier flow are studied. Recent experiments have highlighted signatures of particles' finiteness on their statistical properties, namely a decrease of their acceleration variance, an increase of correlation times (at increasing the particles size) and an independence of the probability density function of the acceleration once normalized to their variance. These effects are not captured by point-particle models. By means of a detailed comparison between numerical simulations and experimental data, we show that a more accurate description is obtained once Faxen corrections are included.
  • References (31)
    31 references, page 1 of 4

    Arneodo, A., Benzi, R., Berg, J., Biferale, L., Bodenschatz, E., Busse, A., Calzavarini, E., Castaing, B., Cencini, M., Chevillard, L., Fisher, R., Grauer, R., Homann, H., Lamb, D., Lanotte, A. S., Leveque, E., Luthi, B., Mann, J., Mordant, N., Muller, W.-C., Ott, S., Ouellette, N. T., Pinton, J.-F., Pope, S. B., Roux, S. G., Toschi, F., Xu, H. & Yeung, P. K., ICTR Collaboration 2008 Universal intermittent properties of particle trajectories in highly turbulent flows. Phys. Rev. Lett. 100 (25), 254504-254505.

    Auton, T., Hunt, J. & Prud'homme, M. 1988 The force exerted on a body in inviscid unsteady non-uniform rotational flow. J. Fluid Mech. 197, 241-257.

    Ayyalasomayajula, S., Gylfason, A., Collins, L. R., Bodenschatz, E. & Warhaft, Z. 2006 Lagrangian measurements of inertial particle accelerations in grid generated wind tunnel turbulence. Phys. Rev. Lett. 97, 144507.

    Babiano, A., Cartwright, J. H. E., Piro, O. & Provenzale, A. 2000 Dynamics of a small neutrally buoyant sphere in a fluid and targeting in Hamiltonian systems. Phys. Rev. Lett. 84 (25), 5764-5767.

    Bagchi, P. & Balachandar, S. 2003 Effect of turbulence on the drag and lift of a particle. Phys. Fluids. 15 (11), 3496-3513.

    Balkovsky, E., Falkovich, G. & Fouxon, A. 2001 Intermittent distribution of inertial particles in turbulent flows. Phys. Rev. Lett. 86 (13), 2790-2793.

    Bec, J. 2005 Multifractal concentrations of inertial particles in smooth random flows. J. Fluid Mech. 528, 255-277.

    Bec, J., Biferale, L., Boffetta, G., Celani, A., Cencini, M., Lanotte, A., Musacchio, S. & Toschi, F. 2006 Acceleration statistics of heavy particles in turbulence. J. Fluid Mech. 550, 349-358.

    Berg, J. 2006 Lagrangian one-particle velocity statistics in a turbulent flow. Phys. Rev. E 74, 016304.

    Biferale, L., Bodenschatz, E., Cencini, M., Lanotte, A. S., Ouellette, N. T., Toschi, F. & Xu, H. 2008 Lagrangian structure functions in turbulence: a quantitative comparison between experiment and direct numerical simulation. Phys. Fluids 20 (6), 065103.

  • Metrics
    No metrics available
Share - Bookmark