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TECHNICAL PAPERS

An Analytical Method for Expansion Chambers With Continuously Varying Cross-Sectional Area

[+] Author and Article Information
M. Utsumi

Machine Element Department, Technical Research Laboratory, Ishikawajima-Harima Heavy Industries Company Ltd. (IHI), 1 Shin-Nakaharacho, Isogo-ku, Yokohama, Kanagawa Prefecture 235-8501, Japan

J. Vib. Acoust 126(2), 173-183 (May 04, 2004) (11 pages) doi:10.1115/1.1687400 History: Received May 01, 2002; Revised October 01, 2003; Online May 04, 2004
Copyright © 2004 by ASME
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References

Figures

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Expansion chamber geometry and spherical coordinates
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Example of the geometry of expansion chamber used for numerical computation (a1=0.025 m,a2/a1=1.8,L=0.045 m,L1/L=0.4, β=10°)
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Transmission coefficient for plane wave mode (m,ν)=(0,0);a1=0.025 m,a2/a1=1.8, β=10°; –, present method; •, conventional method
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Transmission coefficient for non-plane wave mode (m,ν)=(1,1);a1=0.025 m,a2/a1=1.6, β=10°; –, present method; •, conventional method
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Influence of L on the transmission coefficient; (m,ν)=(0,0),a1=0.025 m,a2/a1=1.8,L1/L=0.4, β=10°; —, L=0.035 m; –, L=0.04 m; ----, L=0.045 m; ----, L=0.05 m
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Influence of L on the transmission coefficient; (m,ν)=(0,0),a1=0.3 m,a2/a1=1.8,L1/L=0.4, β=10°; —, L=0.4 m;–,L=0.45 m; ----, L=0.5 m; ----, L=0.55 m
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Transmission coefficient; (m,ν)=(0,0),a1=0.025 m,a2/a1=1.8, β=10°, L1/L=0.4; –, with absorber; ----, without absorber
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A system with inlet and outlet tubes extended into the expansion chamber
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Transmission coefficient; (m,ν)=(0,0);a1=0.025 m,a2/a1=1.8, β=10°, L1/L=0.4; –, zin=L−zout=0.005 m; ----, zin=L−zout=0
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Transmission coefficient for the case where mean flow is present; (m,ν)=(0,0),a1=0.025 m,a2/a1=1.8, β=10°; –, present method; ----, conventional method
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Stepped uniform subsections in the conventional method
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Venturi tube used to confirm the accuracy of the conventional method (units: cm, deg; this figure is cited from Ref. 4; m denotes straight duct to throat area ratio)
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Numerical results for the Venturi tube (m denotes straight duct to throat area ratio)

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