Skip to main content
Log in

On the steady motion of jets with elliptical sections

Zur stationären Bewegung von Strahlen mit elliptischem Querschnitt

  • Contributed Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

In 1960 Taylor discussed the motion of a jet of inviscid fluid issuing from an elongated orifice in a flat sheet, which transforms itself into a jet which is first flattened in the direction of the long axis of the orifice and then subsequently in the perpendicular direction. Such a motion is re-considered here using a system of dynamical equations obtained from a one-dimensional model.

Zusammenfassung

Die Bewegung einer aus einer länglichen Mündung austretenden reibungsfreien Flüssigkeit, die einen zuerst in Richtung der großen Achse der Mündung, anschließend senkrecht dazu abgeflachten Strahl bildet, wurde 1960 von Taylor erörtert. Unter Verwendung eines, von einem eindimensionalen Modell hergeleiteten Systems von Bewegungsgleichungen wird diese Bewegung erneut betrachtet.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Taylor, G. I.: Formation of thin flat sheets of water. Proc. R. Soc.A 259, 1 (1960).

    Google Scholar 

  2. LordRayleigh: On the capillary phenomena of jets. Proc. R. Soc.A 29, 71 (1979).

    Google Scholar 

  3. Green, A. E., Laws, N.: A general theory of rods. Proc. R. Soc.A 293, 145 (1966).

    Google Scholar 

  4. Green, A. E., Laws, N., Naghdi, P. M.: A linear theory of straight elastic rods. Arch. Rat. Mech. Anal.25, 285 (1967).

    Google Scholar 

  5. Green, A. E., Laws, N., Naghdi, P. M. Rods, plates and shells. Proc. Camb. Phil. Soc.64, 895 (1968).

    Google Scholar 

  6. Green, A. E., Naghdi, P. M.: Non-isothermal theory of rods, plates and shells. Int. J. Solids Struct.6, 209 (1970).

    Google Scholar 

  7. Green, A. E., Knops, R. J., Laws, N.: Large deformations, superposed small deformations and stability of elastic rods. Int. J. Solids Struct.4, 555 (1968).

    Google Scholar 

  8. Green, A. E., Naghdi, P. M., Wenner, M. L.: On the theory of rods II. Developments by direct approach. Proc. Roy. Soc.A 337, 485 (1974).

    Google Scholar 

  9. Green, A. E., Laws, N.: Ideal fluid jets. Int. J. Engng. Sci.6, 317 (1968).

    Google Scholar 

  10. Green, A. E.: On the non-linear behaviour of fluid jets. Int. J. Engng. Sci.14, 49 (1976).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Green, A.E. On the steady motion of jets with elliptical sections. Acta Mechanica 26, 171–177 (1977). https://doi.org/10.1007/BF01177144

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01177144

Keywords

Navigation