Transition prediction and linear stability theory
Abstract
Linear stability theory is used in computing the amplitude ratio for other than twodimensional instability waves. The wave motion is obtained from the ray equations of kinematic wave theory, and the amplitude ratio by simply integrating the spatial amplification rate of the parallel flow theory along a ray. Both the temporal and spatial theories are examined for two and threedimensional incompressible and twodimensional compressible boundary layers. The dispersion relation is most directly obtained with the temporal theory, but the magnitude and direction of the group velocity have to be computed to give the spatial amplification rate, and then only approximately. The spatial theory gives the spatial amplification rate directly, but only after the direction of the group velocity is known. Transition prediction methods, divided into amplitudedensity and amplitude methods, are discussed.
 Publication:

In AGARD LaminarTurbulent Transition 22 p (SEE N7814316 0534
 Pub Date:
 October 1977
 Bibcode:
 1977ltt..agarQ....M
 Keywords:

 Boundary Layer Transition;
 Flow Stability;
 Laminar Boundary Layer;
 Prediction Analysis Techniques;
 Amplitude Distribution Analysis;
 Boundary Layer Stability;
 Compressible Boundary Layer;
 Fluid Dynamics;
 Incompressible Boundary Layer;
 Fluid Mechanics and Heat Transfer