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Research Papers: Multiphase Flows

A Generalized Equation for Scattering Cross Section of Spherical Gas Bubbles Oscillating in Liquids Under Acoustic Excitation

[+] Author and Article Information
Yuning Zhang

School of Engineering,
University of Warwick,
Coventry CV4 7AL, UK
e-mail: zhangyn02@gmail.com

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received November 17, 2012; final manuscript received April 2, 2013; published online June 6, 2013. Assoc. Editor: John Abraham.

J. Fluids Eng 135(9), 091301 (Jun 06, 2013) (6 pages) Paper No: FE-12-1578; doi: 10.1115/1.4024128 History: Received November 17, 2012; Revised April 02, 2013

When irradiated by acoustic waves, gas bubbles can generate divergent spherical waves, which are frequently used to detect the sizes and number density of the gas bubbles. In this paper, a generalized equation for scattering cross section of spherical gas bubbles oscillating in liquids under acoustic excitation is proposed. Comparing with formulas in the literature, this generalized equation can improve the predictions of acoustical scattering cross section in the near-resonance region with high ambient pressure and above-resonance region.

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Figures

Grahic Jump Location
Fig. 1

Comparisons of acoustical scattering cross section predicted by Eqs. (9), (11), and (30) (corresponding to dashed, dotted, solid lines, respectively) with ambient pressure of 1 atm, (ω = 107 s−1)

Grahic Jump Location
Fig. 2

Comparisons of acoustical scattering cross section predicted by Eqs. (9), (11), and (30) (corresponding to dashed, dotted, solid lines, respectively) with ambient pressure of 10 MPa, (ω = 107 s−1)

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