XVIII. On acoustically effective vortex motion in gaseous jets

Abstract Tollmien's general criterion of instability of one-dimensional fluid motion is applied to the problem of sound sensitive plane jets. Bickley's formula is inserted into Tollmien's disturbance equation and stream function, wave-velocity and wave-length are found. The stream-line representation shows good qualitative agreement with G. B. Brown's photographs of smoke jets. Furthermore, a formula connecting the frequency of the sound with either of the two proper values of the disturbance equation is derived, which is in fair agreement with G. B. Brown's measurements on edge-tones. A brief explanation of the phenomenon of sensitive jets is given.