Abstract
Self-sustained oscillations of a jet issuing from a circular nozzle in an impedance plane into unbounded space or interacting with various obstacles, such as a parallel plane or a coaxial rigid circle, are analyzed. In the problem statement region of the circular jet inner boundary, alternative deflection during self-interaction or interaction with obstacles is considered as an axisymmetric monopole (volume) source of axial sound waves inside the jet cylinder directed to the jet root. By means of the corresponding 1-D boundary value problem solution, Nyquist stability criteria are derived for oscillations inside the cylindrical volume bounded by jet boundaries. Conditions favorable for jet boundary axially symmetric self-sustained oscillations excitation are found and their relations to the problem basic parameters are predicted, both for subsonic and supersonic jet cases. The proposed method could be used in various practical jet-obstacle interaction noise-generation problem analyses.
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