Skip to main content
SpringerLink
Log in

On the Stokes entry flow into a semi-infinite circular cylindrical tube

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The problem of Stokes entry flow into a semi-infinite circular cylindrical tube was studied in this paper. A new kind of series solutions was derived. Their evident difference from the solutions in References [1,2] is that the present solutions don't involve infinite integral. So they are favourable for calculation. We calculated an example by allocated method and obtained satisfied results.

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. Lew, H. S. and Y. C. Fung, On the low-Reynolds-number entry flow into a circular cylindrical tube,J. Biomechanics,2 (1969), 105–119.

    Article  Google Scholar 

  2. Wu Wang-yi and Richard Skalak, The creeping motion in the entry region of a semi-infinite circular cylindrical tube,Appl. Math. and Mech.,4, 6 (1983).

    Google Scholar 

  3. Happel J, and H. Brenner,Low Reynolds Number Hydrodynamics, Martinus Nijhoff Publishers (1983).

  4. Dagan, Z., S. Weinbaum and R. Pfeffer,J. Fluid Mech.,115 (1982), 502–523.

    Google Scholar 

  5. Gluckman, M. J., S. Weinbaum and R. Pfeffer,J. Fluid Mech.,55 (1972), 677–709.

    Google Scholar 

  6. Ding Tong-ren,The Basis of Ordinary Differential Equation, Shanghai Science and Technology Press, (in Chinese)

  7. Wang Zhu-xi and Guo Dun-ren,Summary of Special Function, Science Press (1955). (in Chinese)

  8. Friedmann, M., J. Gillis, and N. Liron, Laminar flow in a pipe at low and moderate Reynolds numbers,Appl. Sci. Res.,19, (1968).

Download references

Author information

Authors and Affiliations

  1. Department of Mechanics, Peking University, Beijing

    Wang Lu-nan & Wang Min-zhong

Authors
  1. Wang Lu-nan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wang Min-zhong
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Wu Wang-yi

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lu-nan, W., Min-zhong, W. On the Stokes entry flow into a semi-infinite circular cylindrical tube. Appl Math Mech 11, 479–487 (1990). https://doi.org/10.1007/BF02016378

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02016378

Keywords

Search

Navigation