Notes

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Outline

1	Nonlinear Interactions and Transition
2	Non-linear disturbance equations
3	Stability definitions
4	Critical Reynolds numbers
5	Reynolds-Orr equation
6	Quadratic non-linear interactions
7	Non-linear v-eta formulation
8	Fourier-transformed equations
9	Convolution sums and triad interactions
10	Example
11	Rate of change of energy
12	Conservation of energy in triads
13	Non-linear equilibrium states
14	2D finite amplitude states in PPF
15	Secondary instability of 2D waves
16	Form of the solution
17	Classification of modes
18	Secondary instability equations
19	Secondary instability of 2D TS waves
20	Transition to turbulence: 3 scenarios
21	Secondary instability of TS-waves
22	Streak breakdown
23	Oblique transition
24	Transition times vs disturbance energy
25	Threshold for transition in PPF
26	DNS of becondary breakdown of TS-waves
27	Free-stream turbulence and streak breakdown
28	Klebanoff mode and optimal growth
29	DNS of oblique transition
30	DNS of Wiegel experiment
31	Transition types in Wiegel experiment
32	Secondary instability of cross-flow vortices
33	Lerche experiment of CF-vortices