TECHNICAL PAPERS
Oct 15, 2002

Flow Establishment in Elastic Pipes

Publication: Journal of Engineering Mechanics
Volume 128, Issue 11

Abstract

The paper addresses the problem of unsteady flow in an elastic pipe, starting from rest and tending towards a turbulent steady state. Careful experiments, involving uncommonly long, smooth-walled conduits, indicate that the hydraulic performance of an elastic pipe is controlled by its finite speed of response to a change in boundary conditions. The actually occurring, pulsatile flow is well described by a water-hammer analysis of the establishment process, but disagrees significantly with theoretical predictions based on assumed conduit rigidity. Flow accelerations, both temporal and convective, are shown to cause a significant increase in the values of the lower-critical Reynolds number of laminar-to-turbulent transition.

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References

Carstens, M. R. (1956). “Transition from laminar to turbulent flow during unsteady flow in a smooth pipe.” Proc., Int. Congress of Applied Mechanics, Vol. 3, Bruxelles, Belgium, 370–377.
Ito, H.(1959). “Friction factor for turbulent flow in curved pipes.” J. Basic Eng., 81(D), 123–134.
Lam, K. W. (1974). “Time-dependent flow establishment.” Thesis presented to the Dept. of Mechanical Engineering at the Univ. of Toronto, Toronto, Canada, in partial fulfilment of the requirements for the degree of Master of Applied Science.
Letelier, S., M. F., and Leutheusser, H. J.(1976). “Skin friction in unsteady laminar pipe flow.” J. Hydraul. Div., Am. Soc. Civ. Eng., 102(HY1), 41–56.
Rotta, J. (1956). “An experimental contribution to the transition from laminar to turbulent flow in a pipe.” Proc., Int. Congress of Applied Mechanics, 3, Bruxelles, Belgium, 350–359.
Rouse, H., and Ince, S. (1957). History of hydraulics, Iowa Institute of Hydraulic Research, State Univ. of Iowa, Iowa.
Szymanski, P.(1932). “Quelques solutions exactes des équations de l’hydrodynamique de fluide visqueux dans le cas d’un tube cylindrique.” J. Math. Pures Appl., 11(9), 67–107.
Timoshenko, S. (1960). Strength of materials, 3rd Ed., Van Nostrand, New York.
White, F. M. (1974). Viscous fluid flow, McGraw-Hill, New York.
Wylie, F. B., and Streeter, V. L. (1978). Fluid transients, McGraw-Hill, New York.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 128Issue 11November 2002
Pages: 1169 - 1173

History

Received: Nov 10, 2000
Accepted: Mar 29, 2002
Published online: Oct 15, 2002
Published in print: Nov 2002

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Authors

Affiliations

King-wah Frank Lam
Section Manager, Mechanical/Reactor Design, Darlington Nuclear, Ontario Power Generation, Bowmanville ON, Canada L1C 3Z8.
Hans J. Leutheusser, M.ASCE
Professor Emeritus, Dept. of Mechanical and Industrial Engineering, Univ. of Toronto, Toronto ON, Canada M5S 3G8.

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