Analytical modeling of helmholtz resonator based powered resonance tubes

E. J. Kerschen, A. B. Cain, G. Raman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Scopus citations


The Powered Resonance Tube (PRT) actuator, in which a high-speed jet impinges on the open end of a quarter-wavelength resonance tube, is an effective device for producing high-amplitude pressure oscillations. For low frequency applications, however, the size of the PRT actuator can be quite large, due to the length of the quarter-wavelength tube. In order to reduce the actuator size, we propose an alternative design in which the quarter-wavelength tube is replaced by a Helmholtz resonator. The Helmholtz resonator has a narrow neck coupled to a backing cavity of much larger diameter. The resonant frequency is determined by the ratio of fluid stiffness in the backing cavity to fluid mass in the neck; proper choice of geometry leads to a resonator length that is small compared to the length of a quarter-wavelength tube. We present an analysis of Helmholtz resonator behavior which predicts the influence of geometry on the resonant frequency and the capacity of the resonator to absorb an unsteady volume flux. Comparisons are made with companion numerical simulations for a Helmholtz PRT actuator.

Original languageEnglish (US)
Title of host publication2nd AIAA Flow Control Conference
StatePublished - 2004
Externally publishedYes
Event2nd AIAA Flow Control Conference 2004 - Portland, OR, United States
Duration: Jun 28 2004Jul 1 2004

Publication series

Name2nd AIAA Flow Control Conference


Other2nd AIAA Flow Control Conference 2004
Country/TerritoryUnited States
CityPortland, OR

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Aerospace Engineering
  • Control and Systems Engineering


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