Acoustic analogy for multiphase or multicomponent flow

[+] Author and Article Information
Yijun Mao

School of Engineering and the Environment, University of Southampton, University Road, Southampton, SO17 1BJ, United Kingdom; School of Energy and Power Energy, Xi'an Jiaotong University, No.28 Xianning West Road, Xi'an, Shaanxi, 710049, People's Republic of China

Zhiwei Hu

School of Engineering and the Environment, University of Southampton, University Road, Southampton, SO17 1BJ, United Kingdom

1Corresponding author.

ASME 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 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 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 of physical quantities across the interface of multiphase or multicomponent flow rather than the physical quantities on one-side surface expressed in the FW-H equation. 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 equation is only valid in a specific case of all bubbles oscillating in phase.

Copyright (c) 2017 by ASME
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