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Research Papers

Acoustic Analogy for Multiphase or Multicomponent Flow

[+] Author and Article Information
Yijun Mao

Faculty of Engineering and the Environment,
University of Southampton,
University Road,
Southampton SO17 1BJ, UK;
School of Energy and Power Energy,
Xi'an Jiaotong University,
No. 28 Xianning West Road,
Xi'an, Shaanxi 710049, China
e-mails: Y.Mao@soton.ac.uk; maoyijun@mail.xjtu.edu.cn

Zhiwei Hu

Faculty of Engineering and the Environment,
University of Southampton,
University Road,
Southampton SO17 1BJ, UK
e-mail: Z.Hu@soton.ac.uk

1Corresponding author.

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 28, 2017; final manuscript received August 8, 2017; published online October 4, 2017. Assoc. Editor: Sheryl M. Grace.

J. Vib. Acoust 140(2), 021006 (Oct 04, 2017) (10 pages) Paper No: VIB-17-1176; doi: 10.1115/1.4037702 History: Received April 28, 2017; Revised August 08, 2017

The Ffowcs Williams and Hawkings (FW-H) equation is widely used to predict sound generated from flow and its interaction with impermeable or permeable surfaces. Owing to the Heaviside function used, this equation assumes that sound only propagates outside the surface. In this paper, we develop a generalized acoustic analogy to account for sound generation and propagation both inside and outside the surface. The developed wave equation provides an efficient mathematical approach to predict sound generated from multiphase or multicomponent flow (MMF) and its interaction with solid boundaries. The developed wave equation also clearly interprets the physical mechanisms of sound generation, emphasizing that the monopole and dipole sources are dependent on the jump in physical quantities across the interface of MMF rather than the physical quantities on one-side surface expressed in the FW-H equation. The sound generated from gas bubbles in water is analyzed by the newly developed wave equation to investigate parameters affecting the acoustic power output, showing that the acoustic power feature concluded from the Crighton and Ffowcs Williams (C-FW) equation is only valid in a specific case of all bubbles oscillating in phase.

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