Skip to main content
SpringerLink
Log in

Laminar entrace region flow of the Bingham fluid

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

Summary

The chief purpose of this paper is to solve numerically the entrance region flow of the Bingham fluid by omitting the necessity of pre-assuming the form of velocity profile within the boundary layer, as it has been done elsewhere [2]. By employing the macroscopic mass and momentum balances the changes in velocity profile and pressure gradient with increasing distance from the tube entrance are determined. The results of numerical computations are compared to those obtained in [2] by using both the momentum integral and the Campbell-Slattery methods. The computed results appear to be, in general, quite reasonable and valid, especially near the conduit entrance.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Michiyoshi, L., Mizuno, K., Hoshinai, Y.: Studies on the flow of slurry through a pipe. Intern. Chem. Eng.6, 373 (1966).

    Google Scholar 

  2. Chen, S. S., Fan, L. T., Hwang, C. L.: Entrance region flow of the Bingham fluid in a circular pipe. AIChE J.16, 293 (1970).

    Google Scholar 

  3. Schiller, L.: Die Entwicklung der laminaren Geschwindigkeitsverteilung und ihre Bedeutung für Zähigkeitsmessungen. Z. angew. Math. Mech.2, 96 (1922).

    Google Scholar 

  4. Campbell, W. D., Slattery, J. C.: Flow in the entrance of a tube. Trans. Am. Soc. Mech. Engrs. J. Basic Eng.85 D, 41 (1963).

    Google Scholar 

  5. Shah, V. L., Soto, R. J.: Entrance flow of a Bingham fluid in a tube. Appl. Sci. Res.30, 271 (1971).

    Google Scholar 

  6. Matras, Z., Stachura, J.: Laminarny przeplyw cieczy newtonowskiej w obszarze wlotowym rury kołowej. Archiwum Hydrotechniki28, 2 (1981) (in Polish).

    Google Scholar 

  7. Matras, Z., Nowak, Z.: Laminar entry length problem for power law fluids. Acta Mechanica48, 81 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Fluid Dynamics, Technical University of Kraków, ul. Warszawska 24, PL-31-155, Kraków, Poland

    Z. Nowak & B. Gajdeczko

Authors
  1. Z. Nowak
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Gajdeczko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

With 2 Figures

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nowak, Z., Gajdeczko, B. Laminar entrace region flow of the Bingham fluid. Acta Mechanica 49, 191–200 (1983). https://doi.org/10.1007/BF01236350

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01236350

Keywords

Search

Navigation