The effects of suction on the nonlinear stability of the threedimensional boundary layer above a rotating disc
Abstract
There exists two types of stationary instability of the flow over a rotating disk corresponding to the upperbranch, inviscid mode and the lowerbranch mode, which has a triple deck structure, of the neutral stability curve. This paper investigates the effects of suction on the nonlinear disturbance described by MacKerrell (1987). The additional analysis required to incorporate suction is relatively straightforward and makes it possible to derive an amplitude equation which describes the evolution of the mode. For each value of the suction a treshold value of the disturbance amplitude is obtained; modes of size greater than this treshold grow without limit as they develop away from the point of neutral stability.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 February 1992
 DOI:
 10.1098/rspa.1992.0026
 Bibcode:
 1992RSPSA.436..405B
 Keywords:

 Boundary Layer Stability;
 Flow Stability;
 Rotating Disks;
 Suction;
 Three Dimensional Boundary Layer;
 Boundary Layer Flow;
 Inviscid Flow;
 Leading Edges;
 Swept Wings;
 Fluid Mechanics and Heat Transfer