The energetics of flow through a rapidly oscillating tube. Part 1. General theory
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...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
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2010
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| _version_ | 1797085017005883392 |
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| author | Whittaker, R Waters, S Jensen, O Boyle, J Heil, M |
| author_facet | Whittaker, R Waters, S Jensen, O Boyle, J Heil, M |
| author_sort | Whittaker, R |
| collection | OXFORD |
| description | 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 expressions for the flow fields and evaluate the energy budget. A general result for the conditions under which there is zero net energy transfer from the flow to the wall is provided. This is presented as a critical inverse Strouhal number (a dimensionless measure of the background flow rate) which is expressed only in terms of the tube geometry, the fluid properties and the profile of the prescribed wall oscillations. Our results identify an essential component of a fundamental mechanism for self-excited oscillations in three-dimensional collapsible tube flows, and enable us to assess how geometric and flow properties affect the stability of the system. © 2010 Cambridge University Press. |
| first_indexed | 2024-03-07T02:03:16Z |
| format | Journal article |
| id | oxford-uuid:9e1cc296-5e35-41fc-a3e6-953377814c55 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:03:16Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:9e1cc296-5e35-41fc-a3e6-953377814c552022-03-27T00:47:44ZThe energetics of flow through a rapidly oscillating tube. Part 1. General theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9e1cc296-5e35-41fc-a3e6-953377814c55EnglishSymplectic Elements at Oxford2010Whittaker, RWaters, SJensen, OBoyle, JHeil, MWe 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 expressions for the flow fields and evaluate the energy budget. A general result for the conditions under which there is zero net energy transfer from the flow to the wall is provided. This is presented as a critical inverse Strouhal number (a dimensionless measure of the background flow rate) which is expressed only in terms of the tube geometry, the fluid properties and the profile of the prescribed wall oscillations. Our results identify an essential component of a fundamental mechanism for self-excited oscillations in three-dimensional collapsible tube flows, and enable us to assess how geometric and flow properties affect the stability of the system. © 2010 Cambridge University Press. |
| spellingShingle | Whittaker, R Waters, S Jensen, O Boyle, J Heil, M The energetics of flow through a rapidly oscillating tube. Part 1. General theory |
| title | The energetics of flow through a rapidly oscillating tube. Part 1. General theory |
| title_full | The energetics of flow through a rapidly oscillating tube. Part 1. General theory |
| title_fullStr | The energetics of flow through a rapidly oscillating tube. Part 1. General theory |
| title_full_unstemmed | The energetics of flow through a rapidly oscillating tube. Part 1. General theory |
| title_short | The energetics of flow through a rapidly oscillating tube. Part 1. General theory |
| title_sort | energetics of flow through a rapidly oscillating tube part 1 general theory |
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