Hostname: page-component-7479d7b7d-pfhbr Total loading time: 0 Render date: 2024-07-14T01:49:43.298Z Has data issue: false hasContentIssue false
  • English
  • Français

Developing flow in circular conduits: transition from plug flow to tube flow

Published online by Cambridge University Press:  29 March 2006

M. H. Wagner
M. H. Wagner
Affiliation:
Institut für Kunststofftechnologie (IKT), University of Stuttgart, Germany
Get access Rights & Permissions [Opens in a new window]

Abstract

A numerical solution of the complete Navier–Stokes equations of motion by means of an implicit finite-difference method is presented for the following developing-flow problem: a piston forced with constant speed through an infinitely long tube of circular cross-section. The transition of the velocity profile of an incompressible isothermal Newtonian fluid from the plug-flow profile in front of the piston to the parabolic profile of developed flow is analysed. Streamlines, vorticity distributions, velocity profiles, the excess pressure drop and the entrance length are given for Reynolds numbers from 0 to 800.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 72 , Issue 2 , 25 November 1975 , pp. 257 - 268
Copyright
© 1975 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Friedmann, M., Gillis, J. & Liron, N. 1968 Laminar flow in a pipe at low and moderate Reynolds numbers. Appl. Sci. Res. A 19, 426.Google Scholar
Gerrard, J. H. 1971 The stability of unsteady axisymmetric incompressible pipe flow close to a piston. J. Fluid Mech. 50, 625.Google Scholar
Gerrard, J. H. & Hughes, M. D. 1971 The flow due to an oscillating piston in a cylindrical tube: a comparison between experiment and a simple entrance flow theory. J. Fluid Mech. 50, 97.CrossRefGoogle Scholar
Hughes, M. D. & Gerrard, J. H. 1971 The stability of unsteady axisymmetric incompressible pipe flow close to a piston. Part 2. Experimental investigation and comparison with computation. J. Fluid Mech. 50, 645.Google Scholar
Schlichting, H. 1934 Laminare Kanaleinlaufstroemung. Z. angew. Math. Mech. 14, 368.Google Scholar
Schmidt, F. W. & Zeldin, B. 1969 Laminar flows in inlet sections of tubes and ducts. A.I.Ch.E. J. 15, 612.Google Scholar
Smith, G. D. 1974 Numerical Solution of Partial Differential Equations. Oxford University Press.
Sparrow, E. M., Lin, S. H. & Lundgren, T. S. 1964 Flow development in the hydrodynamic entrance region of tubes and ducts. Phys. Fluids, 7, 338.Google Scholar
Tabaczynski, R. J., Hoult, D. P. & Keck, J. C. 1970 High Reynolds number flow in a moving corner. J. Fluid Mech. 42, 249.Google Scholar
Van Dyke, M. 1970 Entry flow in a channel. J. Fluid Mech. 44, 813.Google Scholar
Vrentas, J. S. & Duda, J. L. 1973 Flow of a Newtonian fluid through a sudden contraction. Appl. Sci. Res. 28, 241.Google Scholar
Vrentas, J. S., Duda, J. L. & Bargeron, K. G. 1966 Effect of axial diffusion of vorticity on flow development in circular conduits. Part I. Numerical solutions. A.I.Ch.E. J. 12, 837.Google Scholar
Wilson, S. D. R. 1971 Entry flow in a channel. Part 2. J. Fluid Mech. 46, 787.Google Scholar