# Small-scale statistics of viscoelastic turbulence

@article{Berti2006SmallscaleSO, title={Small-scale statistics of viscoelastic turbulence}, author={Stefano Berti and A. Bistagnino and Guido Boffetta and Antonio Celani and Stefano Musacchio}, journal={EPL}, year={2006}, volume={76}, pages={63-69} }

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…

## 24 Citations

### Large is different: non-monotonic behaviour of elastic range scaling in polymeric turbulence at large Reynolds and Deborah numbers

- Economics
- 2021

Marco E. Rosti, ∗ Prasad Perlekar, and Dhrubaditya Mitra Complex Fluids and Flows Unit, Okinawa Institute of Science and Technology Graduate University, 1919-1 Tancha, Onna-son, Okinawa 904-0495,…

### Dispersed Fibers Change the Classical Energy Budget of Turbulence via Nonlocal Transfer.

- PhysicsPhysical review letters
- 2020

The backreaction of dispersed rigid fibers to turbulence is analyzed by means of a state-of-the-art fully coupled immersed boundary method and provides a link between two apparently separated realms: the one of porous media and theOne of suspension dynamics.

### Scaling Relations in Elastic Turbulence.

- PhysicsPhysical review letters
- 2019

The scaling relations between the exponents of the power-law decays of kinetic and elastic energies, pressure, as well as torque fluctuations in elastic turbulence (ET) agree well with the exponent values obtained experimentally and numerically in the ET regime of a viscoelastic fluid in different flow geometries.

### Spectral energy transfer in a viscoelastic homogeneous isotropic turbulence

- Physics, EngineeringPhysics of Fluids
- 2019

Energy dynamics in elastoinertial turbulence is investigated by performing different direct numerical simulations of stationary, homogeneous isotropic turbulence for the range of Weissenberg numbers…

### Isotropic Turbulence with Coupled Microstructures. I: Visco-Elastic Turbulence

- Physics
- 2018

This chapter is devoted to the dynamics of isotropic turbulence in dilute polymer solutions. Governing equations associated to the very popular FENE-P rheological model are exhaustively discussed.…

### Drag enhancement and drag reduction in viscoelastic flow

- PhysicsPhysical Review Fluids
- 2018

Creeping flow of polymeric fluid without inertia exhibits elastic instabilities and elastic turbulence accompanied by drag enhancement due to elastic stress produced by flow-stretched polymers.…

### Energy spectra in elasto-inertial turbulence

- Physics
- 2016

Direct numerical simulations of statistically steady homogeneous isotropic turbulence in viscoelastic fluids described by the FENE-P model are presented. Emphasis is given to large polymer relaxation…

### The Effect of Polymers

- Materials Science
- 2015

Long-chain polymers usually possess a high degree of flexibility and, in their basic state, coil up to an approximately spherical shape. In a turbulent flow, the polymers become stretched and some of…

### Hybrid Eulerian–Lagrangian simulations for polymer–turbulence interactions

- PhysicsJournal of Fluid Mechanics
- 2013

Abstract The effects of polymer additives on decaying isotropic turbulence are numerically investigated using a hybrid approach consisting of Brownian dynamics simulations for an enormous number of…

## References

SHOWING 1-10 OF 28 REFERENCES

### Nonlinear Magnetohydrodynamics

- Physics
- 1998

Nonlinear magnetohydrodynamics by Dieter Biskamp is a thorough introduction to the physics of the most impressive non-linear phenomena that occur in conducting magnetoplasmas. The basic systems, in…

### Turbulence in dilute polymer solutions

- Physics
- 2005

The work reported below is a comparative study of the properties of turbulence with weak mean flow in a Newtonian fluid and in a dilute polymer solution with an emphasis on the small scale phenomena.…

### Dynamics of Polymeric Liquids

- Chemistry
- 1978

Vol 1: Fluid Mechanics pp xv + 470 price £22 Vol 2: Kinetic Theory pp xiii + 471–727 price £20 R Byron Bird, Robert C Armstrong and Ole Hassager Chichester: J Wiley 1977 These two volumes set out in…

### Multifractal statistics of Lagrangian velocity and acceleration in turbulence.

- PhysicsPhysical review letters
- 2004

The statistical properties of velocity and acceleration fields along the trajectories of fluid particles transported by a fully developed turbulent flow are investigated by means of high resolution direct numerical simulations and are compared with predictions of the multifractal formalism.

### Europhys. Lett

- Europhys. Lett
- 2005

### J. Fluid Mech

- J. Fluid Mech
- 1990

### Phys. Fluids

- Phys. Fluids
- 1997

### J. Fluid Mech

- J. Fluid Mech
- 2003