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Effect of flow on a dual Helmholtz resonator

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Abstract

The acoustic characteristics of a dual Helmholtz resonator in the presence of flow is investigated theoretically and experimentally. A lumped parameter model is introduced, including the damping effect and neck inertia, and the predicted transmission loss (TL) is compared with experiments performed with a flow-impedance tube setup. ^Predicted and measured results with flow exhibit a good agreement, while capturing the key variations in peak TL magnitude and the shifts in peak TL frequency. Theoretical approach demonstrates that the damping of the first neck inertia of the dual Helmholtz resonator has a marked impact not only on the magnitude of the first peak TL but also the second peak TL.

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Abbreviations

M1, M2 :

Air mass in the first and second HR necks

x1, x2 :

Displacement of the air mass of the first and second HR neck

F i :

Input force to the dual Helmholtz resonator

AC1, AC2 :

Cross-sectional area of the first and second neck

ρ 0 :

Air density

c 0 :

Speed of sound

V1, V2 :

First and second HR cavity volume

R1, R2 :

Damping of the first and second HR

X j :

Magnitude of the displacement in complex number (j = 1,2)

S d :

Cross-sectional area of the main duct

Rac1′, Rac2′:

Dimensionless acoustic impedances

U 1 :

Volume velocity at the first HR neck

Au, Ad :

Incident and transmitted waves

I eff :

Effective neck length

Ma :

Mach number scale

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Author information

Authors and Affiliations

  1. Mechanical, Automotive and Robot Component Engineering Department, Dong-eui University, Busan, 47340, Korea

    Hyunsu Kim

  2. Department of Mechanical Engineering, The Ohio State University, Columbus, OH, 43210, USA

    Ahmet Selamet

  3. The Center for Automotive Engineering, The Ohio State University, Columbus, OH, 43210, USA

    Ahmet Selamet

Authors
  1. Hyunsu Kim
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  2. Ahmet Selamet
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Correspondence to Hyunsu Kim.

Additional information

Recommended by Editor No-cheol Park

Hyunsu Kim, Ph.D., received his doctor degree at the Ohio State University in 2011 after achieving B.S. from Kookmin University in 2001 and M.S. from University of Cincinnati in 2006. His research area is acoustics of intake/exhaust system especially focusing on nonlinear characteristics in silencers in the presence of flow. From 2011 to 2016, he worked at Hyundai-Kia Motor Company as a Senior Researcher in the power-train NVH team expanding his area of interest to (hybrid) electrical vehicle motor noise. He is currently an Assistant Professor at the Mechanical, Automotive and Robot Component Engineering Department in Dong-eui University in South Korea.

Ahmet Selamet received his Ph.D. in Mechanical Engineering from University of Michigan in 1989. He joined the Mechanical Engineering Department of Ohio State University (OSU) in 1996, where he holds the rank of Professor since 2001. His research centers around internal combustion engines, linear/nonlinear wave dynamics, noise/pollutant emission control, fluid mechanics, combustion, and heat transfer. He has published more than 215 articles in journals and proceedings. His recognitions include Harrison, Lumley, and MacQuigg Awards from OSU; and Teetor Award and Ralph K. Hillquist NVH Lifetime Achievement Award from the Society of Automotive Engineers (SAE). He has been elected a Fellow of the Acoustical Society of America and SAE.

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Kim, H., Selamet, A. Effect of flow on a dual Helmholtz resonator. J Mech Sci Technol 34, 581–588 (2020). https://doi.org/10.1007/s12206-020-0106-7

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  • DOI: https://doi.org/10.1007/s12206-020-0106-7

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