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The energetics of flow through a rapidly oscillating tube. Part 1. General theory

Abstract:

We examine the effect of prescribed wall-driven oscillations of a flexible tube of arbitrary cross-section, through which a flow is driven by prescribing either a steady flux at the downstream end or a steady pressure difference between the ends. A large-Womersley-number large-Strouhal-number regime is considered, in which the oscillations of the wall are small in amplitude, but sufficiently rapid to ensure viscous effects are confined to a thin boundary layer. We derive asymptotic expression...

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Publication status:
Published

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Publisher copy:
10.1017/S0022112009992904

Authors


Whittaker, RJ More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Jensen, OE More by this author
Journal:
JOURNAL OF FLUID MECHANICS
Volume:
648
Pages:
83-121
Publication date:
2010-04-10
DOI:
EISSN:
1469-7645
ISSN:
0022-1120
URN:
uuid:9e1cc296-5e35-41fc-a3e6-953377814c55
Source identifiers:
54816
Local pid:
pubs:54816
Language:
English

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