The acoustic performance of a dual Helmholtz resonators system in the presence of a grazing flow

Xue, Rong; Mak, Cheuk Ming; Wu, Dizi; Wai, Kuen

doi:10.1177/1475472x221150175

International Journal of Aeroacoustics

2023

DOI: 10.1177/1475472x221150175

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The acoustic performance of a dual Helmholtz resonators system in the presence of a grazing flow

Rong Xue

Cheuk Ming Mak

Dizi Wu

et al.

Abstract: Helmholtz resonators (HR) are widely used in aero-engine systems for noise reduction. By connecting a pair of HRs in series (neck-cavity-neck-cavity), a dual HRs system is formed. This study investigated the influence of neck length, cavity volume and flow Mach number on the noise attenuation performance of a dual HRs system. A three-dimensional numerical simulation was performed to calculate the transmission loss results. The transmission loss (TL) results indicated that the second neck length can influence t… Show more

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2024

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Cited by 3 publications

References 26 publications

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Numerical investigation on acoustic damping characteristics of dual Helmholtz resonators in presence of a grazing flow

Zhao,

Dong

2024

Journal of Low Frequency Noise, Vibration and Active Control

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In this study, the acoustic damping performances of the dual Helmholtz resonators were numerically evaluated using a 3D model. The grazing flow passes tangentially through the resonator neck, with a Mach number range of 0 ≤ Ma ≤ 0.1. The numerical model operates by solving the linearized Navier–Stokes equations. The current model is validated through a comparison with experimental data. The model is then utilized to explore the effects of the dual Helmholtz resonators on acoustic transmission loss performance in the presence of a grazing flow. Three key parameters are examined: 1) different implementation configurations of the dual Helmholtz resonators (including Models (b), (c), and (d)), 2) the mean temperature of the grazing flow, and 3) the axial distance between the dual Helmholtz resonators. For comparison, the acoustic damping performance of these dual Helmholtz resonators is compared to the single Helmholtz resonator case (Model (a)). The maximum transmission loss of Model (c) is significantly higher, recording values of 91%, 89.4%, and 92.5% than those observed for Model (a) at Ma = 0, Ma = 0.05, and Ma = 0.1, respectively. It is observed that the dual Helmholtz resonators dramatically increase the transmission loss. Model (c) is demonstrated to be associated with the most significant damping on the acoustic plane waves in comparison with that of Model (a). Additionally, the maximum transmission loss of Model (c) is 23.23 dB, 30.32 dB, and 34.58 dB at mean temperatures of 300 K, 600 K, and 900 K, respectively. Therefore, increasing the mean temperature is shown to be beneficial to enhance transmission losses in the presence of the grazing flow. Furthermore, under Ma = 0.1, the resonant frequency of Model (c) is 127 Hz, 152 Hz, and 172 Hz, corresponding to mean temperatures of 300 K, 600 K, and 900 K. It can be concluded that increasing the temperature has the effect of broadening the resonant frequency, especially at a high grazing flow Mach number. However, increasing the mean temperature results in a reduction of transmission loss in the absence of the grazing flow. In the case of Model (c), a 32 cm axial distance results in a 5.6% larger transmission loss at Ma = 0 and a 26.4% larger loss at Ma = 0.1 compared to a 16 cm axial distance. This indicates that increasing the axial distance between the dual Helmholtz resonators improves transmission loss.

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Numerical investigation on acoustic damping characteristics of dual Helmholtz resonators in presence of a grazing flow

Zhao,

Dong

2024

Journal of Low Frequency Noise, Vibration and Active Control

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Models of Acoustic Resonators in Studies of Sound-Absorbing Structures

Razumov

2024

Microsyst., Electron. & Acoust.

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This paper provides a comprehensive review of four primary models used to represent Helmholtz resonators in sound-absorbing structures. The purpose of the article is to analyze these models in the context of their application, accuracy, and suitability for different types of acoustic problems. The review focuses on: the simple harmonic oscillator model, which provides a basic yet effective approach for estimating resonance frequencies; the wave equation model, which is well-suited for complex geometries and wave propagation phenomena; the electrical analogy model, used to represent resonators in systems with multiple interacting elements; and the Finite Element Method (FEM), offering high precision for detailed simulations of complex acoustic systems. For each model, typical calculation problems are discussed to highlight their practical applications, along with examples from existing research. Additionally, the article provides recommendations for further development of these models. This review serves as a foundation for selecting appropriate modeling methods for various acoustic design challenges and offers guidance for future research in this field.

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Volumetric and Entropic Sound Sources of Helmholtz Resonators with Different Temperatures

Gan,

Yang

2024

AIAA Journal

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This study proposes an acoustic analogy model for the Helmholtz resonator (HR)–combustor system, considering the temperature difference between the bias flow from the HR and the grazing flow inside the combustor duct. The model highlights how the mass flux of the bias flow and the temperature difference serve as mass and entropic sound sources, respectively, influencing the HR’s sound absorption performance. To validate the model, we conducted numerical simulations using the Reynolds-averaged Navier–Stokes shear stress transport model to obtain the mean flow, followed by solving the frequency-domain linearized Navier–Stokes equations in COMSOL. The model was tested with HRs attached to combustor ducts under open–open and open–closed boundary conditions. Theoretical results agree well with numerical simulations, confirming the model’s accuracy. Results indicate that when the bias flow temperature is lower than the grazing flow temperature, the entropic sound source negatively affects duct acoustics, reducing sound absorption performance. Conversely, higher bias flow temperatures enhance sound absorption by superimposing entropic and mass-related sound sources. Additionally, the overall effect of the mass-related and entropic sound sources is equal to a volumetric source which depends on the mean sound speed and density of the HR instead of those of the combustor.

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The acoustic performance of a dual Helmholtz resonators system in the presence of a grazing flow

Cited by 3 publications

References 26 publications

Numerical investigation on acoustic damping characteristics of dual Helmholtz resonators in presence of a grazing flow

Numerical investigation on acoustic damping characteristics of dual Helmholtz resonators in presence of a grazing flow

Models of Acoustic Resonators in Studies of Sound-Absorbing Structures

Volumetric and Entropic Sound Sources of Helmholtz Resonators with Different Temperatures

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