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https://hdl.handle.net/2440/52059
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Type: | Journal article |
Title: | The decay of suddenly blocked flow in a curved pipe |
Author: | Clarke, R. Denier, J. |
Citation: | Journal of Engineering Mathematics, 2009; 63(2-4):241-257 |
Publisher: | Kluwer Academic Publ |
Issue Date: | 2009 |
ISSN: | 0022-0833 1573-2703 |
Statement of Responsibility: | Richard J. Clarke and James P. Denier |
Abstract: | Pressure-driven viscous flow through a rigid curved pipe of uniform circular cross-section which is suddenly stopped, for example through the instantaneous closure of a valve, is considered here. The profile of the flow at early times after the stoppage is analysed asymptotically, by matching diffusive boundary layers to a core flow that is driven by an axial pressure gradient. This pressure gradient is unknown a priori and, furthermore, exhibits singular behaviour immediately after the stoppage. This analysis therefore provides the flow information at small but finite times that is required for numerical determination of the flow at later times. The limiting case of weak curvature is also considered, where linearization of the governing flow equations is possible. The results illustrate some novel features of the flow which result solely from the pipe's curvature and the consequences for the flow's rate of decay are discussed. © Springer Science+Business Media B.V. 2008. |
Keywords: | Blood flow Curved-pipe flow Transient flow |
DOI: | 10.1007/s10665-007-9210-2 |
Published version: | http://dx.doi.org/10.1007/s10665-007-9210-2 |
Appears in Collections: | Aurora harvest Environment Institute publications Mathematical Sciences publications |
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