| Numéro |
J. Phys. France
Volume 47, Numéro 7, juillet 1986
|
|
|---|---|---|
| Page(s) | 1137 - 1140 | |
| DOI | https://doi.org/10.1051/jphys:019860047070113700 | |
J. Phys. France 47, 1137-1140 (1986)
DOI: 10.1051/jphys:019860047070113700
1 Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, U.S.A.
2 School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Tel-Aviv 69978, Israel
4720 - Hydrodynamic stability.
Key words
flow instability -- viscosity
DOI: 10.1051/jphys:019860047070113700
Negative viscosity effect in three-dimensional flows
L. Shtilman1 et G. Sivashinsky21 Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, U.S.A.
2 School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Tel-Aviv 69978, Israel
Abstract
The paper treats the stability of a periodic unidirectional three-dimensional flow. It is shown that at sufficiently high Reynolds numbers a flow of this type is unstable to long-wave disturbances. This instability can be interpreted in terms of negative effective viscosity of the corresponding large-scale flow.
Résumé
On étudie la stabilité d'un écoulement tridimensionnel, unidirectionnel, périodique. On montre qu'à nombre de Reynolds suffisamment grand, un écoulement de ce type est instable vis-à-vis de perturbations de grande longueur d'onde. Cette instabilité peut être interprétée en termes de viscosité effective négative pour l'écoulement à grande échelle correspondant.
4720 - Hydrodynamic stability.
Key words
flow instability -- viscosity