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Research Papers

Analytical Acoustic Power Spectrum Formulations for Rotating Monopole and Dipole Point Sources

[+] Author and Article Information
Yijun Mao

Department of Fluid Machinery and Engineering,
School of Energy and Power Energy,
Xi'an Jiaotong University,
No. 28 Xianning West Road,
Xi'an 710049, Shaanxi, China
e-mail: maoyijun@mail.xjtu.edu.cn

Chen Xu

Department of Fluid Machinery and Engineering,
School of Energy and Power Energy,
Xi'an Jiaotong University,
No. 28 Xianning West Road,
Xi'an 710049, Shaanxi, China
e-mail: xu_chen@stu.xjtu.edu.cn

1Corresponding author.

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 6, 2015; final manuscript received November 24, 2015; published online January 21, 2016. Assoc. Editor: Nicole Kessissoglou.

J. Vib. Acoust 138(2), 021009 (Jan 21, 2016) (13 pages) Paper No: VIB-15-1205; doi: 10.1115/1.4032139 History: Received June 06, 2015; Revised November 24, 2015

Analytical acoustic power spectrum formulations for the rotating monopole and dipole point sources are proposed by employing the spherical harmonic series expansion method. Both the analytical acoustic power spectra and the overall acoustic power show a good agreement with the results obtained from other methods. A nondimensional acoustic power ratio (APR) is employed to investigate the effects of the rotational Mach number, the direction of the dipole source, and the number of sources on the acoustic power output.

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References

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Figures

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Fig. 1

Schematic of rotating source

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Fig. 3

Variation of the overall acoustic power with the rotational Mach number for the RMPS: (a) f0 = 0 and (b) f0 = 120 Hz

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Fig. 2

Acoustic power spectrum of the RMPS with steady source strength at fr = 40 Hz

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Fig. 4

Acoustic power spectrum of the RRDPS at f0 = 120 Hz and fr = 40 Hz

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Fig. 5

Acoustic power spectrum of the RCDPS at f0 = 120 Hz and fr = 40 Hz

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Fig. 6

Acoustic power spectrum of the RADPS at f0 = 120 Hz and fr = 40 Hz

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Fig. 7

Overall acoustic power of the rotating dipole point source with steady source strength: (a) RCDPS and (b) RADPS

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Fig. 8

Overall acoustic power of the rotating dipole point source with a single pulsating frequency f0 = 120 Hz: (a) RCDPS and (b) RADPS

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Fig. 10

Effect of number of sources and rotational Mach number on the APR of the RRDPS

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Fig. 11

Effect of number of sources and rotational Mach number on the APR of the RCDPS

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Fig. 12

Effect of number of sources and rotational Mach number on the APR of the RADPS

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Fig. 9

Effect of rotational Mach number on the APR of the RCDPS and RADPS

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Fig. 13

Effect of direction of the dipole source on the APR: (a) N = 17, M = 0.74, ν=1 and (b) N = 3, M = 0.37, ν=1

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Fig. 14

Effect of frequency ratio ν on the APR: (a) N = 17, M = 0.74 and (b) N = 17, M = 0.37

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