Anteckningar
Disposition
Nonlinear Interactions and Transition
Non-linear disturbance equations
Stability definitions
Critical Reynolds numbers
Reynolds-Orr equation
Linear growth mechanisms
Quadratic non-linear interactions
Non-linear v-eta formulation
Fourier-transformed equations
Convolution sums and triad interactions
Example
Rate of change of energy
Conservation of energy in triads
Non-linear equilibrium states
2D finite amplitude states in PPF
Secondary instability of 2D waves
Form of the solution
Classification of modes
Secondary instability equations
Secondary instability of 2D TS waves
Transition to turbulence: 3 scenarios
2nd instability of TS-waves
Streak breakdown
Oblique transition
Transition times vs disturbance energy
Threshold for transition in PPF
DNS of 2nd breakdown of TS-waves
Free-stream turbulence and streak breakdown
Klebanoff mode and optimal growth
DNS of oblique transition
DNS of Wiegel experiment
Transition types in Wiegel experiment
Secondary instability of cross-flow vortices
Lerche experiment of CF-vortices