Skip to main content
SpringerLink
Log in

Laminar flow in the entrance of a tube

  • Published:
Applied Scientific Research Aims and scope Submit manuscript

Abstract

An improved version of Campbell and Slattery's solution for the developing laminar pipe flow is presented. The analysis provides slightly better over-all flow description.

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

Abbreviations

p :

pressure

p 0 :

pressure at the entry cross section

p*:

dimensionless pressure, (p 0−p)/ρV 2

r, x :

cylindrical coordinates

Q :

volume rate of flow through tube

R :

tube radius

u, v :

velocity components in the axial and radial directions respectively

U :

core velocity

V :

average velocity, Q/πR 2

X*:

dimensionless axial distance x/(R 2 Vρ/μ)

δ :

boundary layer thickness

μ :

viscosity

ρ :

density

References

  1. Campbell, W. D. and J. C. Slattery, Trans. ASME J. Basic Eng. 85 D (1963) 41.

    Google Scholar 

  2. Volkov, V. N., J. of Eng. Physics, Vol. 9 (1965) 371.

    Google Scholar 

  3. Campbell, W. D., MS thesis, Northwestern Univ., 1960.

  4. Prandtl, L. and O. G. Tietjens, Applied Hydro- and Aeromechanics, McGraw Hill Book Company, Inc., N. Y., 1934, p. 27.

    Google Scholar 

Download references

Author information

Author notes

  1. R. C. Gupta

    Present address: Department of Mathematics, University of Dar es Salaam, P.O. Box, 35062, Dar as Salaam, Tanzania

Authors and Affiliations

  1. Dept. of Mathematics, Univ. of Singapore, Singapore, 10, Malaya

    R. C. Gupta

Authors
  1. R. C. Gupta
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gupta, R.C. Laminar flow in the entrance of a tube. Appl. Sci. Res. 33, 1–10 (1977). https://doi.org/10.1007/BF00383189

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00383189

Keywords

Search

Navigation