Secondary instability of free shear flows
Abstract
Three-dimensional instabilities of saturated two-dimensional vortical states of planar free shear flows are shown to exist for spanwise scales much smaller than those at which classical linear modes are unstable. These modes grow from the mean flow, and persist to moderately low Reynolds numbers. Their growth rates are comparable to the most rapidly growing inviscid instability and two-dimensional subharmonic (pairing) modes. In contrast to two-dimensional modes, the three-dimensional modes do not appear to saturate in quasi-steady states; they seem to lead directly to chaos.
- Publication:
-
Turbulence and Chaotic Phenomena in Fluids
- Pub Date:
- 1984
- Bibcode:
- 1984tcpf.proc...27B
- Keywords:
-
- Chaos;
- Flow Stability;
- Free Flow;
- Shear Flow;
- Two Dimensional Flow;
- Computational Fluid Dynamics;
- Navier-Stokes Equation;
- Quasi-Steady States;
- Three Dimensional Flow;
- Viscous Flow;
- Vortices;
- Fluid Mechanics and Heat Transfer