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Sound Generation by Interactions of Two Vortex Rings

  • Conference paper
IUTAM Symposium on Dynamics of Slender Vortices

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 44))

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Abstract

Vortex sound from collision of two vortex rings at 16 different angles between head-on and perpendicular collisions is numerically analyzed using an aerodynamic sound theory for the far-field acoustic pressure which results from localized unsteady vortex motion. The vorticity field is obtained by solving the three-dimensional incompressible vorticity equation with the vorticity-potential method. The strong sound source region is identified for each collision angle. It is found that there are three regions of collision angles and that different characteristic vortex motion mainly causes the vortex sound in each region. The relation of the vortex motion with the vortex sound is discussed in detail.

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References

  1. M.J. Lighthill: Proc. R. Soc. London, Ser A 211 (1952) 564.

    Article  MathSciNet  MATH  Google Scholar 

  2. A. Powell: J. Acoust. Soc. Am. 35 (1964) 177.

    Article  Google Scholar 

  3. M.S. Howe: J. Fluid Mech. 71 (1975) 625.

    Article  MathSciNet  MATH  Google Scholar 

  4. F. Obermeier: Acoustica 18 (1967) 238.

    MATH  Google Scholar 

  5. S.C. Crow: Stud. Appl. Math. 49 (1970) 21.

    MATH  Google Scholar 

  6. W. Möhring: J. Fluid Mech. 85 (1978) 685.

    Article  MathSciNet  MATH  Google Scholar 

  7. F. Obermeier: J. Sound Vibration 99 (1985) 111.

    Article  MATH  Google Scholar 

  8. L. Ting and M.J. Miksis: SIAM J. Appl. Math. 50 (1990) 521.

    Article  MathSciNet  MATH  Google Scholar 

  9. T. Kambe, T. Minota and M. Takaoka: Phys. Rev. E 48 (1993) 1866.

    Google Scholar 

  10. S. Adachi, K. Ishii and T. Kambe: ZAMM 77 (1997) 716.

    Article  MATH  Google Scholar 

  11. L.Ting and R.Klein: Viscous Vortical Flow,Lecture Notes in Physics 374, Springer-Verlag (1991) 117–174.

    Google Scholar 

  12. J.P. Chamberlain and C.H. Liu: AIAA J. 23 (1985) 868.

    Article  MATH  Google Scholar 

  13. J.P. Chamberlain and R.P. Weston: AIAA paper84–1545 (1984).

    Google Scholar 

  14. K. Ishii, K. K. Wahara and C.H. Liu: Computers Fluids 22 (1993) 589.

    Article  MATH  Google Scholar 

  15. P.G. Saffman: Stud. Appl. Math. 49 (1970) 371.

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Computational Science and Engineering, Nagoya University, Nagoya, 464-01, Japan

    K. Ishii & H. Maru

  2. RIKEN, Wako, 351-01, Japan

    S. Adachi

Authors
  1. K. Ishii
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  2. H. Maru
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  3. S. Adachi
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Editor information

Editors and Affiliations

  1. Aerodynamisches Institut, Rheinisch-Westfälische Technische Hochschule Aachen, Germany

    E. Krause

  2. Institut für Thermo- und Fluiddynamik, Ruhr-Universität Bochum, Germany

    K. Gersten

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© 1998 Springer Science+Business Media Dordrecht

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Ishii, K., Maru, H., Adachi, S. (1998). Sound Generation by Interactions of Two Vortex Rings. In: Krause, E., Gersten, K. (eds) IUTAM Symposium on Dynamics of Slender Vortices. Fluid Mechanics and Its Applications, vol 44. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5042-2_29

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  • DOI: https://doi.org/10.1007/978-94-011-5042-2_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6117-9

  • Online ISBN: 978-94-011-5042-2

  • eBook Packages: Springer Book Archive

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