Abstract

Undulatory motions of a separated shear layer in a rectangular slot are found to give rise to three forces that are believed responsible for jet‐edge and jet‐edge‐resonator oscillation at low Mach number. The three are (1) a transverse force on the downstream edge which gives rise to the transverse dipole feedback radiation postulated by Powell, (2) a longitudinal force on the downstream wall, which results in longitudinal dipole radiation believed responsible for oscillation in shallow cavities, and (3) a longitudinal force in the body of the fluid which is associated with pipetone drive. By direct integration of the Lighthill tensor over the entire region of fluid motion between the edges, the magnitude of each force is estimated. In every case the results are directly proportional to shear layer width, and cannot therefore be derived from theories using the vortex sheet approximation.

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