Analytical modeling of helmholtz resonator based powered resonance tubes

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

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

6 Citations (Scopus)

Abstract

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
Event2nd AIAA Flow Control Conference 2004 - Portland, OR, United States
Duration: Jun 28 2004Jul 1 2004

Other

Other2nd AIAA Flow Control Conference 2004
CountryUnited States
CityPortland, OR
Period6/28/047/1/04

Fingerprint

Resonators
Actuators
Wavelength
Natural frequencies
Fluids
Geometry
Stiffness
Fluxes
Computer simulation

ASJC Scopus subject areas

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

Cite this

Kerschen, E. J., Cain, A. B., & Raman, G. (2004). Analytical modeling of helmholtz resonator based powered resonance tubes. In 2nd AIAA Flow Control Conference

Analytical modeling of helmholtz resonator based powered resonance tubes. / Kerschen, Edward J; Cain, A. B.; Raman, G.

2nd AIAA Flow Control Conference. 2004.

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

Kerschen, EJ, Cain, AB & Raman, G 2004, Analytical modeling of helmholtz resonator based powered resonance tubes. in 2nd AIAA Flow Control Conference. 2nd AIAA Flow Control Conference 2004, Portland, OR, United States, 6/28/04.
Kerschen EJ, Cain AB, Raman G. Analytical modeling of helmholtz resonator based powered resonance tubes. In 2nd AIAA Flow Control Conference. 2004
Kerschen, Edward J ; Cain, A. B. ; Raman, G. / Analytical modeling of helmholtz resonator based powered resonance tubes. 2nd AIAA Flow Control Conference. 2004.
@inproceedings{0a4b36e55f614cac8d8b820207dc9d59,
title = "Analytical modeling of helmholtz resonator based powered resonance tubes",
abstract = "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.",
author = "Kerschen, {Edward J} and Cain, {A. B.} and G. Raman",
year = "2004",
language = "English (US)",
isbn = "9781624100307",
booktitle = "2nd AIAA Flow Control Conference",

}

TY - GEN

T1 - Analytical modeling of helmholtz resonator based powered resonance tubes

AU - Kerschen, Edward J

AU - Cain, A. B.

AU - Raman, G.

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84897801364&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84897801364&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781624100307

BT - 2nd AIAA Flow Control Conference

ER -