Skip to main content
Log in

On the evolution of a vortical motion in a turbulent fluid

  • Published:
Applied Scientific Research Aims and scope Submit manuscript

Abstract

A model turbulence field consisting of essentially discrete but interacting eddies is presented. The development of a single eddy is described by considering its interaction with the remainder of the turbulence field. Vortex line stretching is found to produce initially an increase in the mean square vorticity of the eddy. Consideration of the decay rate of vorticity suggests that the rate of dissipation of turbulent energy per unit mass depends weakly upon the Reynolds number of the turbulence.

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. Kolmogoroff, A. N., Compt. rend. acad. sci. U.R.S.S. 30 (1941) 301.

    Google Scholar 

  2. Taylor, G. I., Proc. Roy. Soc. A 151 (1935) 421.

    Google Scholar 

  3. Taylor, G. I., Proc. Roy. Soc. A 164 (1938) 15.

    Google Scholar 

  4. Taylor, G. I. and A. E. Green, Proc. Roy. Soc. A 158 (1937) 499.

    Google Scholar 

  5. Goldstein, S., Phil. Mag. 30 (1940) 85.

    Google Scholar 

  6. Orszag, S. A., J. Fluid Mech. 49 (1971) 75.

    Google Scholar 

  7. Kovasznay, L. S. G., Ann. Review Fluid Mech. 2 (1970) 95.

    Article  Google Scholar 

  8. Grant, H. L. and I. C. T. Nisbet, J. Fluid Mech. 2 (1957) 263.

    Google Scholar 

  9. Hama, F. R., Phys. Fluids 5 (1962) 1156.

    Google Scholar 

  10. Howe, M. S., J. Fluid Mech. 45 (1971) 769.

    Google Scholar 

  11. Bourret, R. C., Nuovo Cimento 26 (1962) 1.

    Google Scholar 

  12. Ralston, A., Numerical Analysis, McGraw-Hill, 1965.

  13. Batchelor, G. K., Homogeneous Turbulence, Cambridge Univ. Press, 1953.

  14. Saffman, P. G., Topics in Nonlinear Physics, ed. N. J. Zabusky, Springer-Verlag, 1968.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Manton, M.J. On the evolution of a vortical motion in a turbulent fluid. Appl. Sci. Res. 30, 32–46 (1974). https://doi.org/10.1007/BF00385774

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00385774

Keywords

Navigation