Skip to main content
Springer Nature Link
Log in

Laminar flow in a pipe at low and moderate reynolds numbers

  • Published:
Applied Scientific Research Aims and scope Submit manuscript

Summary

The laminar flow of a homogeneous viscous liquid in the inlet of a pipe is investigated numerically for a range of small and moderate Reynolds numbers where the boundary layer approximation is inapplicable. Velocity profiles and other characteristics of the flow are calculated and the results compared with approximate results obtained by other methods. The limiting case of vanishingly small Reynolds number is also treated analytically.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Thom, A., Field Computations in Engineering and Physics, p. 125, Van Nostrand, London 1961.

    Google Scholar 

  2. Langhaar, H. L., Phys. Fluids 2 (1959) 210.

    Google Scholar 

  3. Hornbeck, R. W., Appl. Sci. Res. A 13 (1964) 224.

    Google Scholar 

  4. Prandtl, L. and O. G. Tietjens, Applied Hydro- and Aeromechanics, p. 27, Dover, New York 1957.

    Google Scholar 

  5. Sparrow, E. M., S. H. Lin, and T. S. Lundgren, Phys. Fluids 7 (1964) 338.

    Google Scholar 

  6. Gillis, J. and A. Brandtl, Air Force European Office of Aerospace Research, Sci. Rep. 63-73, Rehovoth (Israel) 1964.

  7. Gillis, J. and A. Brandt, Phys. Fluids 9 (1965) 690.

    Google Scholar 

  8. Wang, U. L. and P. A. Longwell, AIChE J. 10 (1964) 323.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Weizmann Institute of Science, Rehovoth, Israel

    M. Friedmann, J. Gillis & N. Liron

Authors
  1. M. Friedmann
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Gillis
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. Liron
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Part of this work was performed while the second author was a summer visitor in the Applied Mathematics Department, Brookhaven National Laboratory, Upton (L.I.), New York.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Friedmann, M., Gillis, J. & Liron, N. Laminar flow in a pipe at low and moderate reynolds numbers. Appl. Sci. Res. 19, 426–438 (1968). https://doi.org/10.1007/BF00383937

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00383937

Keywords

Search

Navigation