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Self-Sustained Deep Cavity Oscillations Induced by Grazing Flow

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This paper is concerned with a model of sound generation in a case of the deep cavity exposed to a grazing mean air flow. The problem was analyzed theoretically by means of infinitely thin shear layer assumption and the description of acoustic response of the cavity. The response was determined with the aid of the impedance model of flow excited quarter-wave resonator, including the nonlinear orifice damping. The parameters of unstable motion in the slot were found, basing on continuity conditions across the orifice plane. Calculated values were used in order to determine the acoustic pressure in far-field area. The theoretical predictions were compared to experimental results.

Zusammenfassung

Bei dieser Arbeit wird ein Modell der Schallerzeugung in einem tiefen Hohlraum behandelt, der von Luft umströmt wird. Das Problem wurde theoretisch untersucht durch Annahme einer unendlich dünnen Scherschicht und Beschreibung der akustischen Antwort des Hohlraums. Die letztere wurde mit Hilfe des Impedanzmodells eines strömungserregten Viertelwellenlängenresonators bestimmt unter Einbeziehung der nichtlinearen Öffnungsdämpfung. Auf der Grundlage der Kontinuitätsbedingungen in der Öffnungsebene wurden die Parameter einer instabilen Bewegung im Schlitz aufgefunden. Mit Hilfe der berechneten Werte wurde der Schalldruck im Fernfeld bestimmt. Schließlich wurden die theoretischen Voraussagen mit experimentellen Ergebnissen verglichen.

Sommaire

L'auteur établit un modèle de l'excitation acoustique d'une cavité profonde exposée par sa face antérieure à un courant d'air permanent rasant. Il fonde son analyse sur l'hypothèse d'une couche de cisaillement infiniment mince. La réponse acoustique de la cavité est déterminée à l'aide du modèle d'une impédance représentant un résonateur quart d'onde excité par l'écoulement et incorporant l'amortissement non linéaire dû à l'orifice. Les paramètres du mouvement instable dans l'ouverture sont obtenus à partir des conditions de continuité à travers le plan de l'orifice. Les valeurs calculées servent à déterminer la pression acoustique dans les régions éloignées. Les prédictions théoriques sont confrontées à des résultats expérimentaux.
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Document Type: Research Article

Publication date: January 1, 1987

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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