Coupled Acoustic and Hydrodynamic Wave Instabilities,
ALABAMA UNIV IN HUNTSVILLE DEPT OF MECHANICAL ENGINEERING
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Unstable waves may occur as a result of acoustic andor hydrodynamic oscillations. If these two different types of waves coupled together, their physical interactions lead to extremely complicated phenomena. Theoretically, there exists an infinite number of frequencies for both acoustic and hydrodynamic oscillations. Realistically, however, only a limited number of combined frequencies are excited. Our objective is, then, to determine the combined action of acoustic and hydrodynamic frequencies at which instabilities may arise. The purpose of the present paper is to review the works on this subject which were published earlier, and to recast them herein in a more readable form. The mathematical formulations for the theory and some simple numerical examples are demonstrated.