Abstract
Sound pressure distribution around a monotone sound source was measured inside a marine propeller cavitation tunnel and compared with the calculated result by a two-dimensional boundary element method. The measured sound pressure distribution showed some peaks due to the reflection effect of the tunnel test section boundary. As the frequency increased, the sound pressure distribution became more complicated, showing more peaks. The tunnel reverberant effect should be taken into account when the noise data measured in the tunnel are converted into full-scale values. In the boundary element method calculation, the boundary condition at the acrylic observation window of the tunnel was examined in detail. The calculated sound pressure distribution pattern in the tunnel transverse section agreed well with the measured distribution when a reasonable boundary condition was adopted. The boundary element method is an effective method for theoretically predicting the acoustic field inside the cavitation tunnel if the precise boundary condition is adopted.
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Abbreviations
- G :
-
matrix whose elements areg ℓm
- g ℓm :
-
element of matrix G,\( - (\rho \omega /4)\smallint _{\Gamma _m } H_0^{(2)} (kr)d\Gamma \)
- H :
-
matrix whose elements areh ℓm
- H (2) (r)n :
-
Hankel function of the second kind of ordern
- h ℓm :
-
element of matrixH,\((jk/4)\smallint _{\Gamma _m } H_1^{(2)} (kr)\cos (\theta )d\Gamma \) when ℓ ≠m and 1/2 when ℓ ≠m
- j :
-
imaginary unit
- k :
-
wavenumber
- ℓ,m :
-
nuber of boundary element. ℓ andm denote the reference and source element, respectively
- n :
-
normal
- p :
-
complex sound source pressure whose absolute value and argument are sound pressure amplitude and phase, respectively
- p i :
-
complex sound source pressure on the boundary elementi
- r :
-
distance from sound source in the experiment, or distance between source and reference points in the boundary element method calculation
- u :
-
complex particle velocity whose absolute value and argument are velocity amplitude and phase, respectively
- γ:
-
boundary
- ρ:
-
density
- ϕ:
-
weight function
- σ:
-
circular frequency
- ∫* :
-
integral with the singular term removed
References
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Yamaguchi, H., Kato, H. & Matsuda, K. Measurement and computation of the acoustic field in a cavitation tunnel. J Mar Sci Technol 1, 198–208 (1996). https://doi.org/10.1007/BF02390796
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DOI: https://doi.org/10.1007/BF02390796