Hostname: page-component-7479d7b7d-k7p5g Total loading time: 0 Render date: 2024-07-13T19:24:36.238Z Has data issue: false hasContentIssue false

The stability of unsteady axisymmetric incompressible pipe flow close to a piston. Part 2. Experimental investigation and comparison with computation

Published online by Cambridge University Press:  29 March 2006

M. D. Hughes
Affiliation:
Department of the Mechanics of Fluids, University of Manchester
J. H. Gerrard
Affiliation:
Department of the Mechanics of Fluids, University of Manchester

Abstract

Flow visualization has been used quantitatively to determine the flow relative to a piston and a free surface started from rest. The discharge of water from a cylindrical reservoir was investigated. Flow with a free surface started from rest was found to have a critical Reynolds number (based on tube diameter and surface speed) of about 450 above which a ring vortex was produced just below the surface.

Measurements at Reynolds numbers of 525 and 1200 were compared with computations made by the methods described in Part 1. The computed drift of tracer particles agreed well with observed values. The largest discrepancies occurred in the radial component of the drift in the early stages of the motion and amounted to 2½% of the tube diameter.

Type
Research Article
Copyright
© 1971 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

Baker, D. J. 1966 A technique for the precise measurement of small fluid velocities. J. Fluid Mech. 26, 573.Google Scholar
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Bellhouse, B. J. & Talbot, L. 1969 The fluid mechanics of the aortic valve. J. Fluid Mech. 35, 721.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