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Acoustic nonlinearity of bubbly liquids

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Mechanics and Physics of Bubbles in Liquids

Abstract

Sources contributing to the acoustic nonlinearity of a gas/liquid mixture are discussed and calculations of a coefficient βeff for the second-order nonlinearity of the mixture are performed based on source strength density functions for parametric acoustic arrays and on formation with source distance of the second harmonic to a monochromatic wave propagating through the mixture. Some procedures for experimental determination of βeff are suggested, and it is concluded on basis of the calculations that the dynamic bubble nonlinearity will yield the predominant contribution to the acoustic nonlinearity of the mixture, in particular at resonance.

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References

  1. Beyer RT (1974) Nonlinear Acoustics. Naval Ship Systems Command. Department of the Navy.

    Google Scholar 

  2. Beyer RT (1960) Parameter of nonlinearity of fluids. J Acoust Soc Amer 32: 719–723.

    Article  MathSciNet  ADS  Google Scholar 

  3. BjØrnØ L (1976) Nonlinear Acoustics. In Stephens RWB and Leventhall HG (eds) Acoustics and Vibration Progress, Vol 2, pp 101–198. London: Chapman and Hall.

    Google Scholar 

  4. BjØrnØ L (1977) Finite-amplitude wave propagation through water-saturated marine sediments. Acustica 38 (4): 195–200.

    Google Scholar 

  5. Clynch RC and Rolleigh RL (1974) Measurement of enhanced nonlinear radiation in the presence of microbubbles. Applied Research Laboratories. University of Texas at Austin. ARL-TM-74–17.

    Google Scholar 

  6. Clynch JR and Dittman CW (1976) Bubble-enhanced nonlinear sound generation. J Acoust Soc Amer 59 (Suppl no 1): S88.

    Article  ADS  Google Scholar 

  7. Earnshaw S (1860) On the mathematical theory of sound. Phil Trans Royal Soc 150: 133–143.

    Article  Google Scholar 

  8. Fenlon FH and Wonn JW (1980) On the amplification of modulated acoustic waves in gas-liquid mixtures. In Cavitation and Inhomogeneities in Underwater Acoustics. Proceedings of the 1st International Conference, Gottingen 1979, pp 141–150. Springer Verlag.

    Google Scholar 

  9. Keck, W and Beyer RT (1960) Frequency spectrum of finite amplitude ultrasonic waves in liquids. Phys Fluids 3: 346–351.

    Article  MathSciNet  ADS  Google Scholar 

  10. Lewin PA and BjØrnØ L (1981) Acoustic amplitude thresholds for rectified diffusion in gaseous microbubbles in biological tissue. J Acoust Soc Amer 69 (3): 846–852.

    Article  ADS  Google Scholar 

  11. Lockwood JC and Smith DP (1975) Difference frequency generation by forced-air bubbles. J Acoust Soc Amer 57 (Suppl no 1): 573–574.

    Article  Google Scholar 

  12. Welsby VG and Safar MH (1969) Acoustic nonlinearity due to micro-bubbles in water. Acustica 22: 177–182.

    Google Scholar 

  13. Westervelt PJ (1963) Parametric acoustic array. J Acoust Soc Amer. 35: 535–537.

    Article  ADS  Google Scholar 

  14. Zabolotskaya EA (1976) Acoustic second-harmonic generation in a liquid containing uniformly distributed air bubbles. Soviet Phys-Acoust 21 (6): 569–571.

    Google Scholar 

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© 1982 Martinus Nijhoff Publishers, The Hague

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BjØrnØ, L. (1982). Acoustic nonlinearity of bubbly liquids. In: van Wijngaarden, L. (eds) Mechanics and Physics of Bubbles in Liquids. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7532-3_26

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  • DOI: https://doi.org/10.1007/978-94-009-7532-3_26

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7534-7

  • Online ISBN: 978-94-009-7532-3

  • eBook Packages: Springer Book Archive

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