Europhys. Lett.
Volume 76, Number 1, October 2006
Page(s) 63 - 69
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 25 August 2006
Europhys. Lett., 76 (1), pp. 63-69 (2006)
DOI: 10.1209/epl/i2006-10222-6

Small-scale statistics of viscoelastic turbulence

S. Berti1, 2, A. Bistagnino1, 2, G. Boffetta1, 2, A. Celani3 and S. Musacchio3

1  Dipartimento di Fisica Generale and INFN, Università degli Studi di Torino Via Pietro Giuria 1, 10125, Torino, Italy
2  ISAC-CNR, Sezione di Torino - Torino, Italy
3  INLN-CNRS - 1361 Route des Lucioles, Sophia Antipolis, 06560 Valbonne, France

received 15 June 2006; accepted in final form 1 August 2006
published online 25 August 2006

The small-scale statistics of homogeneous isotropic turbulence of dilute polymer solutions is investigated by means of direct numerical simulations of a simplified viscoelastic fluid model. It is found that polymers only partially suppress the turbulent cascade below the Lumley scale, leaving a remnant energy flux even for large elasticity. As a consequence, fluid acceleration in viscoelastic flows is reduced with respect to Newtonian turbulence, whereas its rescaled probability density is left unchanged. At large scales the velocity field is found to be unaffected by the presence of polymers.

47.27.Gs - Isotropic turbulence; homogeneous turbulence.
47.27.E- - Turbulence simulation and modeling.
47.57.Ng - Polymers and polymer solutions.

© EDP Sciences 2006