Abstract
A viscous solvent laminar flow may be strongly modified by the addition of a tiny amount of long polymer molecules, resulting in a chaotic flow called elastic turbulence (ET). ET is attributed to polymer stretching, which generates elastic stress and its back reaction on the flow. Its properties are analogous to those observed in hydrodynamic turbulence, although the formal similarity does not imply a similarity in physical mechanisms underlining these two types of random motion. Here we review the statistical and spectral properties and the spatial structure of the velocity field, the statistical and spectral properties of pressure fluctuations, and scaling of the friction factor of ET in wall-bounded and unbounded flow geometries, as observed in experiments and numerical simulations and described by theory for a wide range of control parameters and polymer concentrations.
| Original language | English |
|---|---|
| Pages (from-to) | 27-58 |
| Number of pages | 32 |
| Journal | Annual Review of Fluid Mechanics |
| Volume | 53 |
| Early online date | 7 Jul 2020 |
| DOIs | |
| Publication status | Published - 5 Jan 2021 |
Funding
I am particularly grateful to V. Lebedev and M. Chertkov for numerous and fruitful discussions; to G. Falkovich, K. Turitsyn, S. Vergeles, and I. Fouxon for theoretical discussions over the years; and to my longtime collaborators A. Groisman, E. Segre, T. Burghelea, C. Chevallard, S. Gerashchenko, Y. Jun, Y. Liu, E. Afik, and A. Varshney. I am particularly indebted to A. Groisman, with whom I have shared the joy of discovery. This work was partially supported by Israel Science Foundation (ISF) grant 882/15 and by United States–Israel Binational Science Foundation (BSF) grant 2016145.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics