Abstract
Transient growth due to non-normality is investigated for the Couette-Taylor problem with counter-rotating cylinders as a function of aspect ratio η and Reynolds number Re. For all Re ≤ 500, transient growth is enhanced by curvature, i.e. is greater for η < 1 than for η = 1, the plane Couette limit. For fixed Re > 130, it is found that the greatest transient growth is achieved for η on the linear stability boundary. Transient growth is approximately 20% higher near the Couette-Taylor linear stability boundary at Re = 310, η = 0.986 than at Re = 310, η = 1, near the threshold observed for transition in plane Couette flow. For 106 < Re < 130, the greatest transient growth occurs for a value of η between the linear stability boundary and one. For Re < 106, the flow is linearly stable and the greatest transient growth occurs for a value of η less than one. The energy in the optimal inputs is primarily meridional; that in the optimal outputs is primarily azimuthal. Pseudospectra are calculated for two contrasting cases.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 43-48 |
| Number of pages | 6 |
| Journal | Theoretical and Computational Fluid Dynamics |
| Volume | 16 |
| Issue number | 1 |
| DOIs | |
| State | Published - Nov 1 2002 |
| Externally published | Yes |
ASJC Scopus subject areas
- Computational Mechanics
- General Engineering
- Fluid Flow and Transfer Processes
- Condensed Matter Physics