Skip to main content
Log in

Effect of a single roughness element on turbulence onset

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The Bubnov-Galerkin method has been used to solve the problem of the steady flow of a viscous, incompressible fluid past a single roughness element. The solution is studied qualitatively in regard to stability. The additional resistance which arises from a single roughness element is calculated. The determination of the friction stress from the known pressure differential across the single roughness element is considered.

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. L. D. Landau and E. M. Lifshitz, Mechanics of Continuous Media [in Russian], Gostekhizdat, 1954.

  2. G. I. Petrov, “Application of the Galerkin method to the problem of flow stability of a viscous fluid,” PMM, vol. 4, no. 3, 1940.

  3. H. Schlichting, Occurrence of Turbulence [Russian translation], Izd. inostr. lit., p. 182, 1962.

  4. S. Goldstein, “A note on roughness,” Brit. ARC Rept. and Mem., 1763, 1936.

  5. J. Tani, F. R. Hama, and S. Mituisi, “On the effect of a single roughness element on boundary layer transition”, Rept. Inst. Sci. Technol. Univ. Tokyo, vol. 8, no. 3, p. 125, 1954.

    Google Scholar 

  6. W. Tollmien, “Über die Entstehung der Turbulenz”, Nachr. Ges. Wissenschaften Göttingen, Math.-phys. K1., 21, 1929.

  7. L. G. Stepanyants, “Slow motion of a fluid near a deformed surface,” Tr. Leningr. politekhn. in-t., Tekhnicheskaya gidromekhanika, vol. 217, 1961.

  8. W. R. Dean, “Note on the slow motion of fluid”, Proc. Cambridge Philos. Soc. vol. 32, p. 4, 1936.

    Google Scholar 

  9. N. I. Konstantinov and G. L. Dragnysh, “On the question of measuring friction stress on a surface,” Tr. Leningr. politekhn. in-t., no. 176, 1955.

Download references

Author information

Authors and Affiliations

Authors

Additional information

The author wishes to express his sincere thanks to his scientific supervisor, G. I. Petrov. The author is also indebted to his colleagues, V. T. Kharin and V. A. Medvedev, at the Institute of Mechanics of Moscow State University.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gertsenshtein, S.Y. Effect of a single roughness element on turbulence onset. Fluid Dyn 1, 113–115 (1966). https://doi.org/10.1007/BF01013835

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01013835

Keywords

Navigation