| Part of graduate student course, Department of Mechanics | |
| Lectures: 16/9 8-12, K52 | |
| 30/9 8-12, L44 | |
| 6/10 8-12, K51 | |
| Projects: 10/11 8-12, K52 | |
| 17/11 8-12, E36 | |
| Book: Stability and Transition in Shear Flows | |
| Further info on web | |
| www2.mech.kth.se/~henning |
Course on Stability and Transition
History of shear flow stability and transition
| Reynolds pipe flow experiment (1883) | |
| Rayleigh’s inflection point criterion (1887) | |
| Orr (1907) Sommerfeld (1908) viscous eq. | |
| Heisenberg (1924) viscous channel solution | |
| Tollmien (1931) Schlichting (1933) viscous BL solution | |
| Schubauer & Skramstad (1947) experimental TS-wave verification | |
| Klebanoff, Tidstrom & Sargent (1962) 3D breakdown |
| High and low speed streaks in the streamwise direction | |
| Transition due to free-stream turbulence | |
| Klebanoff (1977) modes, Tu > 0.5% in BL | |
| Subcritical transition in Poiseuille and Couette flows |
Orr-Sommerfeld and Squire equations
Interpretation of modal results
Interpretation of modal results, cont.
Rayleigh’s inflection point criterion
Inviscid algebraic instability
A, P, S- Eigenfunctions for PPF
The intial value problem (IVP)
A simple eigenfunction expansion
Model with non-orthogonal eigenfunctions
General formulation of viscous IVP
Solution of IVP using eigenfunction expansions
2D PPF: envelope and selected IC
3D PPF and Blasius flow, Re=1000
Optimal disturbances PPF, Re=1000
The forced problem and the resolvent
Pseudospectra, resolvents and sensitivity
PPF: resolvents, growth and forcing
PPF: resolvents, growth and forcing