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Initial Flow in the Entrance of a Straight Circular Pipe

Published online by Cambridge University Press:  04 July 2016

J. Gillis  and
M. Shimshoni
J. Gillis
Affiliation:
Department of Applied Mathematics, Weizmann Institute of Science, Israel
M. Shimshoni
Affiliation:
Department of Applied Mathematics, Weizmann Institute of Science, Israel
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Extract

A solution of the problem of the initial flow in the entrance region of a pipe has been given by Atkinson and Goldstein. In this note the authors compute this solution in greater detail, and compare their results with those of Atkinson and Goldstein. The range of the validity of the solution is shown to be smaller than originally thought.

Atkinson and Goldstein considered the equations for the steady flow of an incompressible viscous fluid into a straight circular pipe of radius a. The flow is supposed to have axial symmetry, u being the velocity component parallel to the axis x, and v the radial velocity. The, distance from the axis is denoted by r.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 70 , Issue 662 , February 1966 , pp. 368 - 369
Copyright
Copyright © Royal Aeronautical Society 1966

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References

1.Goldstein, S. (Ed.). Modern Developments in Fluid Mechanics, I, pp 304–306. Oxford, 1952.Google Scholar
2.Punnis, B. Zur Berechnung der laminaren Einlauf-strömung im Rohr. PhD Thesis, Göttingen, 1947.Google Scholar