To identify sound sources situated in a fluid flow, an equivalent source method (ESM)-based nearfield acoustic holography (NAH) in a moving medium is proposed, and two types of acoustic inputs, pressure and particle velocity, are considered. In particular, an analytical relationship between the particle velocity perpendicular to the flow direction and the equivalent source strength is deduced, which makes it possible to realize the reconstruction with particle velocity input. Compared to the planar NAH in a moving medium, the proposed method is applicable to sound sources with more complicated geometries. Numerical simulations with sound sources distributed over two types of geometries including planar geometry and nonplanar one are conducted to test the performances of the proposed method. The results indicate that the proposed method provides satisfactory reconstructed results whatever with pressure input or with particle velocity input, and it is valid and robust over a wide range of flow velocities and frequencies and under different levels of background noise.

References

1.
Williams
,
E. G.
,
Maynard
,
J. D.
, and
Skudrzyk
,
E.
,
1980
, “
Sound Source Reconstructions Using a Microphone Array
,”
J. Acoust. Soc. Am.
,
68
(
1
), pp.
340
344
.
2.
Maynard
,
J. D.
,
Williams
,
E. G.
, and
Lee
,
Y.
,
1985
, “
Nearfield Acoustic Holography—I: Theory of Generalized Holography and the Development of NAH
,”
J. Acoust. Soc. Am.
,
78
(
4
), pp.
1395
1413
.
3.
Williams
,
E. G.
,
Dardy
,
H. D.
, and
Washburn
,
K. B.
,
1987
, “
Generalized Nearfield Acoustical Holography for Cylindrical Geometry: Theory and Experiment
,”
J. Acoust. Soc. Am.
,
81
(
2
), pp.
389
407
.
4.
Jacobsen
,
F.
,
Moreno-Pescador
,
G.
,
Fernandez-Grande
,
E.
, and
Hald
,
J.
,
2011
, “
Near Field Acoustic Holography With Microphones on a Rigid Sphere (L)
,”
J. Acoust. Soc. Am.
,
129
(
6
), pp.
3461
3464
.
5.
Bai
,
M. R.
,
1992
, “
Application of BEM (Boundary Element Method)-Based Acoustic Holography to Radiation Analysis of Sound Sources With Arbitrarily Shaped Geometries
,”
J. Acoust. Soc. Am.
,
92
(
1
), pp.
533
549
.
6.
Bi
,
C. X.
,
Chen
,
X. Z.
,
Chen
,
J.
, and
Zhou
,
R.
,
2005
, “
Nearfield Acoustic Holography Based on the Equivalent Source Method
,”
Sci. China, Ser. E
,
48
(
3
), pp.
338
353
.
7.
Ruhala
,
R. J.
,
1999
, “
A Study of Tire/Pavement Interaction Noise Using Near-Field Acoustical Holography
,”
Ph.D. thesis
, The Pennsylvania State University, State College, PA.http://adsabs.harvard.edu/abs/1999PhDT.......103R
8.
Ruhala
,
R. J.
, and
Swanson
,
D. C.
,
2002
, “
Planar Near-Field Acoustical Holography in a Moving Medium
,”
J. Acoust. Soc. Am.
,
112
(
2
), pp.
420
429
.
9.
Kwon
,
H. S.
,
Niu
,
Y.
, and
Kim
,
Y. J.
,
2010
, “
Planar Nearfield Acoustical Holography in Moving Fluid Medium at Subsonic and Uniform Velocity
,”
J. Acoust. Soc. Am.
,
128
(
4
), pp.
1823
1832
.
10.
Kim
,
Y. J.
, and
Niu
,
Y.
,
2012
, “
Improved Statistically Optimal Nearfield Acoustic Holography in Subsonically Moving Fluid Medium
,”
J. Sound Vib.
,
331
(
17
), pp.
3945
3960
.
11.
Dong
,
B. C.
,
Bi
,
C. X.
,
Zhang
,
X. Z.
, and
Zhang
,
Y. B.
,
2014
, “
Patch Near-Field Acoustic Holography in a Moving Medium
,”
Appl. Acoust.
,
86
(
8
), pp.
71
79
.
12.
Parisot-Dupuis
,
H.
,
Simon
,
F.
, and
Piot
,
E.
,
2011
, “
Aeroacoustic Sources Localization by Means of Nearfield Acoustic Holography Adapted to Wind Tunnel Conditions
,” 40th International Congress and Exposition on Noise Control Engineering (Inter-Noise 2011), Osaka, Japan, Sept. 4–7, pp.
1749
1754
.
13.
Parisot-Dupuis
,
H.
,
Simon
,
F.
,
Piot
,
E.
, and
Micheli
,
F.
,
2013
, “
Non-Intrusive Planar Velocity-Based Nearfield Acoustic Holography in Moving Fluid Medium
,”
J. Acoust. Soc. Am.
,
133
(
6
), pp.
4087
4097
.
14.
Koopmann
,
G. H.
,
Song
,
L.
, and
Fahnline
,
J. B.
,
1989
, “
A Method for Computing Acoustic Fields Based on the Principle of Wave Superposition
,”
J. Acoust. Soc. Am.
,
86
(
6
), pp.
2433
2438
.
15.
Zhang
,
Y. B.
,
Chen
,
X. Z.
,
Bi
,
C. X.
, and
Chen
,
J.
,
2008
, “
Planar Near-Field Acoustic Holography Based on Equivalent Source Method and Its Experimental Investigation
,”
Chin. J. Acoust.
,
27
(
3
), pp.
250
260
.
16.
Wu
,
T. W.
, and
Lee
,
L.
,
1994
, “
A Direct Boundary Integral Formulation for Acoustic Radiation in a Subsonic Uniform Flow
,”
J. Sound Vib.
,
175
(
1
), pp.
51
63
.
17.
Golub
,
G. H.
,
Heath
,
M.
, and
Wahba
,
G.
,
1979
, “
Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
,”
Technometrics
,
21
(
2
), pp.
215
223
.
18.
Zhang
,
Y. B.
,
Jacobsen
,
F.
,
Bi
,
C. X.
, and
Chen
,
X. Z.
,
2009
, “
Near Field Acoustic Holography Based on the Equivalent Source Method and Pressure-Velocity Transducers
,”
J. Acoust. Soc. Am.
,
126
(
3
), pp.
1257
1263
.
19.
Fink
,
M.
, and
Prada
,
C.
,
2001
, “
Acoustic Time-Reversal Mirrors
,”
Inverse Probl.
,
17
(
1
), pp.
R1
R38
.
20.
Mimani
,
A.
,
Doolan
,
C. J.
, and
Medwell
,
P. R.
,
2015
, “
Stability and Accuracy of Aeroacoustic Time-Reversal Using the Pseudo-Characteristic Formulation
,”
Int. J. Acoust. Vib.
,
20
(
4
), pp.
226
243
.
21.
Mueller
,
T. J.
,
2002
,
Aeroacoustic Measurements
,
Springer
,
Berlin
, pp.
1
313
.
You do not currently have access to this content.