The Two-Dimensional Development of Flow in the Presence of Periodic or Random Fluctuations with Application to the Calculation of Cavity Tones.

Abstract : A method for calculating the spatial development of two-dimensional flows in the presence of small periodic or random disturbances is developed. The method has application to transition from laminar to turbulent flow, the characteristics of turbulence and to noise generation by a flowing fluid. The method was developed out of a need to understand the fluid mechanics of the edgetone phenomenon. Therefore, an application of the analytical approach to a class of edgetones, the cavity tone, is demonstrated, and numerical results are presented and compared with experimental results. A discussion of these results, the current status of solution techniques for the equations involved and suggestions for further development are given. (Author)