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Explicit equations for leak rates through narrow cracks

Beck, S.B.M., Bagshaw, N.M. and Yates, J.R. (2005) Explicit equations for leak rates through narrow cracks. International Journal of Pressure Vessels and Piping, 82 (7). pp. 565-570. ISSN 0308-0161

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Abstract

Explicit equations to describe the leak rate of a single phase fluid through a narrow crack under a low pressure gradient have been developed and are presented. Four distinct flow regimes, which change with crack opening displacement, have been previously identified and are the basis of this model. The fluid flow is governed by the pressure gradient and the tortuosity of the crack, which is particularly important when the opening displacement is small. The equations have been developed by considering the pressure forces created when the fluid flows down an idealized zig-zag channel. The nature of the flow, and hence the governing equations, change as the crack aperture increases. The power of this approach is clearly seen when the flow rates predicted using this model are compared both to the flow rates obtained from computational fluid dynamics analysis and those found by experimentation. The agreement between these sets of data is good, showing that the major effects governing the flow rate have been identified and then accounted for.

Item Type: Article
Copyright, Publisher and Additional Information: Copyright © 2005 Elsevier Ltd. This is an author produced version of a paper published in 'International Journal of Pressure Vessels and Piping'. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: Cracks Explicit equations Flow Leak before break Single phase Computational fluid dynamics Data acquisition Flow of fluids Leakage (fluid) Mathematical models Leak rates Pressure gradient Tortuosity leakage
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Mechanical Engineering (Sheffield)
Depositing User: Mr Christopher Hardwick
Date Deposited: 13 Aug 2009 11:18
Last Modified: 08 Feb 2013 16:58
Published Version: http://dx.doi.org/10.1016/j.ijpvp.2004.12.005
Status: Published
Publisher: Elsevier
Refereed: Yes
Identification Number: 10.1016/j.ijpvp.2004.12.005
URI: http://eprints.whiterose.ac.uk/id/eprint/9112

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