The nonlinear dynamics of elastic tubes conveying a fluid
The Kirchhoff equations for elastic tubes are modified to include the effect of fluid flow. Using the techniques of linear and nonlinear analysis specially developed for the Kirchhoff equations, the effect of the fluid flow on the basic twist-to-writhe instability is investigated. The results sugges...
| Main Authors: | , , |
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| 格式: | Journal article |
| 語言: | English |
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2010
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| _version_ | 1826266120629256192 |
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| author | Beauregard, M Goriely, A Tabor, M |
| author_facet | Beauregard, M Goriely, A Tabor, M |
| author_sort | Beauregard, M |
| collection | OXFORD |
| description | The Kirchhoff equations for elastic tubes are modified to include the effect of fluid flow. Using the techniques of linear and nonlinear analysis specially developed for the Kirchhoff equations, the effect of the fluid flow on the basic twist-to-writhe instability is investigated. The results suggest an intriguing modification of the bifurcation threshold due to the flow. Beyond threshold the buckled tube acquires a slight curvature which modifies the flow rate and results in a correction to nonlinearity of the amplitude equation governing the deformation dynamics. © 2009 Elsevier Ltd. All rights reserved. |
| first_indexed | 2024-03-06T20:34:07Z |
| format | Journal article |
| id | oxford-uuid:320ad3c8-38e1-40e2-b7e6-a92f7bcfd5ab |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:34:07Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:320ad3c8-38e1-40e2-b7e6-a92f7bcfd5ab2022-03-26T13:11:37ZThe nonlinear dynamics of elastic tubes conveying a fluidJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:320ad3c8-38e1-40e2-b7e6-a92f7bcfd5abEnglishSymplectic Elements at Oxford2010Beauregard, MGoriely, ATabor, MThe Kirchhoff equations for elastic tubes are modified to include the effect of fluid flow. Using the techniques of linear and nonlinear analysis specially developed for the Kirchhoff equations, the effect of the fluid flow on the basic twist-to-writhe instability is investigated. The results suggest an intriguing modification of the bifurcation threshold due to the flow. Beyond threshold the buckled tube acquires a slight curvature which modifies the flow rate and results in a correction to nonlinearity of the amplitude equation governing the deformation dynamics. © 2009 Elsevier Ltd. All rights reserved. |
| spellingShingle | Beauregard, M Goriely, A Tabor, M The nonlinear dynamics of elastic tubes conveying a fluid |
| title | The nonlinear dynamics of elastic tubes conveying a fluid |
| title_full | The nonlinear dynamics of elastic tubes conveying a fluid |
| title_fullStr | The nonlinear dynamics of elastic tubes conveying a fluid |
| title_full_unstemmed | The nonlinear dynamics of elastic tubes conveying a fluid |
| title_short | The nonlinear dynamics of elastic tubes conveying a fluid |
| title_sort | nonlinear dynamics of elastic tubes conveying a fluid |
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