Predicting Incipient Velocity of Capsules in Pipe
Publication: Journal of Hydraulic Engineering
Volume 126, Issue 6
Abstract
An equation for predicting the incipient velocity of capsules given in a previous paper was analyzed for sources of errors and ways to improve. It is shown that substantially better predictions can be achieved by: (1) using a better formula to determine the lift coefficient; (2) determining the static contact friction coefficient between the capsule and the pipe accurately; (3) using a contraction coefficient somewhat larger than that for sharp-edged capsules; (4) using more accurate values of the capsule-to-pipe diameter ratio; and (5) using a Darcy-Weisbach resistance coefficient somewhat larger than for hydraulically smooth pipe. The equation for predicting the incipient velocity of single capsules in pipe is also modified for predicting the incipient velocity of a capsule train in pipe. A formula is developed to determine the extra roughness of the capsule train caused by the rough junctions between neighboring capsules. The formula enables more accurate prediction of the incipient velocity of capsule trains than is possible without using the formula.
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References
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Gao, X. ( 1999). “Hydrodynamics of HCP with slopes and bends.” PhD thesis, Dept. of Civ. Engrg., University of Missouri–Columbia, Columbia, Mo.
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Liu, H. (1992). “Hydraulic behaviors of coal log flow in pipe.” Freight Pipelines: Proc., 7th Int. Symp. on Freight Pipelines, Elsevier, Amsterdam, 201–205.
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 126 • Issue 6 • June 2000
Pages: 470 - 473
History
Received: Oct 7, 1998
Published online: Jun 1, 2000
Published in print: Jun 2000
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