Skip to main content
SpringerLink
Log in
Book cover

IUTAM Symposium on One Hundred Years of Boundary Layer Research pp 435–444Cite as

Vorticity in Flow Fields (in Relation to Prandtl s Work and Subsequent Developments)

  • Conference paper

  • 1440 Accesses

Part of the book series: Solid mechanics and its applications ((SMIA,volume 129))

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. . Ludwig Prandtl. Ü ber Flüssigkeitbewegung bei sehr kleiner Reibung”, Ver- handlungen des III. Internationalen Mathematiker-Kongress (Heidelberg 1904), pp. 484-491, 1905.

    Google Scholar 

  2. Prandtl L. Abriss der Strömungslehre, Friedr.Vieweg & Sohn, Braunschweig, 1931.

    Google Scholar 

  3. Prandtl L. Führer durch die Strömungslehre, Friedr.Vieweg & Sohn, Braun- schweig, 1965.

    MATH  Google Scholar 

  4. . Prandtl L and Tietjens OG. Fundamentals of Hydro- and Aeromechanics, McGraw-Hill. (Translated from the German edition, Springer, 1931.), 1934.

    Google Scholar 

  5. . Prandtl L and Tietjens OG. Applied Hydro- and Aeromechanics, McGrawHill. (Translated from the German edition, Springer, 1931.), 1934, [Dover].

    Google Scholar 

  6. . Saffman PG. Vortex Dynamics, Cambridge Univ. Press, 1992.

    Google Scholar 

  7. Minota T. Interaction of a shock wave with a high-speed vortex ring”, Fluid Dyn. Res. 12, pp. 335-342, 1993.

    Article  Google Scholar 

  8. . von Karman T. Göttingen Nachrichten, Göttingen, pp. 547-556, 1912.

    Google Scholar 

  9. . Bjerkness V. Lectures on hydrodynamic forces acting at a distance” (Ger- man), Leipzig, 1900-1902.

    Google Scholar 

  10. Powell A. Theory of vortex sound”, J. Acoust. Soc. Am. 36, 177-195, 1964.

    Article  MathSciNet  Google Scholar 

  11. Howe MS. Contributions to the theory of aerodynamic sound”, J. Fluid Mech. 71, pp. 625-973, 1975.

    Article  MATH  MathSciNet  Google Scholar 

  12. Möhring W. On vortex sound at low Mach number”, J. Fluid Mech. 85, pp. 685-691, 1978.

    Article  MATH  MathSciNet  Google Scholar 

  13. Obermeier F. Berechnung aerodynamisch erzeugter Shallfelder mittels der Methode der Matched Asymptotic Expansions”, Acustica 18, 238-240, 1967.

    MATH  Google Scholar 

  14. Kambe T and Minota T. Acoustic wave radiated by head-on collision of two vortex rings”, Proc. R. Soc. Lond. A 386, pp. 277-308, 1983.

    Article  Google Scholar 

  15. Minota T, Nishida M and Lee MG. Head-on collision of two compressible vortex rings”, Fluid Dyn. Res. 22, pp. 43-60, 1998.

    Article  Google Scholar 

  16. . Batchelor GK. The Theory of homogeneous turbulence, Cambridge Univ. Press, 1953.

    Google Scholar 

  17. . Kambe T. Statistical laws governed by vortex structures in fully developed turbulence”, in IUTAM Symposium on Geometry and Statistics of Turbulence (eds: Kambe, Nakano & Miyauchi, held in 1999), Kluwer Academic Pub., Dordrecht, pp. 117-126, 2001.

    Google Scholar 

  18. . Yokokawa M, Itakura K, Uno A, Ishihara T, Kaneda Y. 16.4TFlops direct numerical simulation of turbulence by a Fourier spectral method on the Earth Simulator”, Proc. IEEE/ACM SC2002 Conf., Baltimore, 2002 (http://www.sc-2002.org/paperpdfs/pap.pap273.pdf); Kaneda Y, Ishihara T, Yokokawa M, Itakura K, Uno A. Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box”, Physics of Fluids, 15 (2), pp. L21-L24, 2003.

  19. . Kambe T. Geometrical Theory of Dynamical Systems and Fluid Flows, Ch.7, World Scientific Publishing Co., 2004; Kambe T. Gauge principle and variational formulation of ideal fluid flows”, Preprint TK2004 ( http://hw001.gate01.com/˜kambe).

  20. . Kambe T. Gauge principle and variational formulation for flows of an ideal fluid”, Acta Mechanica Sinica 19, pp. 437-452, 2003; Kambe T. Gauge principle for flows of an ideal fluid”, Fluid Dyn. Res. 32, pp. 193-199, 2003.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. IDS, Higashi-yama 2-11-3, 153-0043, Meguro-ku, Japan

    Tsutomu Kambe

Authors
  1. Tsutomu Kambe
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institut für Strömungsmaschinen, Universität Hannover und DLR–Institut fürAerodynamik und Strömungstechnik, Göttingen, Germany

    G. E. A. Meier

  2. International Centre for Theoretical Physics, Strada Costiera 11, Trieste, Italy

    K. R. Sreenivasan

  3. DLR, Göttingen, Germany

    H.-J. Heinemann

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this paper

Cite this paper

Kambe, T. (2006). Vorticity in Flow Fields (in Relation to Prandtl s Work and Subsequent Developments). In: Meier, G.E.A., Sreenivasan, K.R., Heinemann, HJ. (eds) IUTAM Symposium on One Hundred Years of Boundary Layer Research. Solid mechanics and its applications, vol 129. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-4150-1_42

Download citation

  • DOI: https://doi.org/10.1007/978-1-4020-4150-1_42

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-4149-5

  • Online ISBN: 978-1-4020-4150-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation