Published March 1997
| Version v1
Journal article
Secondary Instabilities of Flows with Elliptic Streamlines
Creators
- 1. Department of Mathematics, Statistics, and Computer Science, The University of Illinois at Chicago, Chicago, Illinois 60607 (United States)
- 2. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
Description
We examine the stability of flows which are the sum of a linear flow with elliptic streamlines and a transverse standing wave. Such flows are exact solutions of the 3D Euler equations for an inviscid incompressible fluid. We examine the stability of such flows under local 3D high frequency perturbations, which can be viewed as secondary perturbations of the elliptic flow itself. We find that these flows are unstable to such perturbations and compute growth rate in several cases. copyright 1997 The American Physical Society
Additional details
Publishing Information
- Journal Title
- Physical Review Letters
- Journal Volume
- 78
- Journal Issue
- 10
- Journal Page Range
- p. 1900-1903.
- ISSN
- 0031-9007
- CODEN
- PRLTAO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 28069363
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ELLIPTICAL CONFIGURATION; GROWTH; INCOMPRESSIBLE FLOW; INSTABILITY; LIQUID FLOW; ROTATION; SCHROEDINGER EQUATION; STANDING WAVES; VISCOUS FLOW
- Descriptors DEC
- CONFIGURATION; DIFFERENTIAL EQUATIONS; EQUATIONS; FLUID FLOW; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS