| EPSRC Reference: |
GR/K57794/01 |
| Title: |
VISCOUS FLOW IN BUCKLED TUBES:A COMPUTATIONAL ANALYSIS OF COLLAPSE, RE-OPENING AND PERISTALTIC PUMPING |
| Principal Investigator: |
Pedley, Professor TJ |
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| Department: |
Applied Maths and Theoretical Physics |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
15 February 1996 |
Ends: |
14 February 1999 |
Value (£): |
105,022
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The project is part of an ongoing programme to provide a rational dynamic description of the phenomena that arise when viscous fluid flows through a collapsible tube, of which there are numerous physiological examples (venous blood flow, forced expiratory airflow, urine flow in urethra and ureters, etc). We have for the first time developed a soundly-based method to calculate the large, non-axisymmetric deformation of a tube wall (using shell theory). We wish to couple this to an accurate method for computing slow viscous flow in three dimensions, and apply it to investigation (a) the collapse process over the whole range of governing parameters (b) reopening of a collapsed tube after the pressure is raised at one end, (c) peristaltic pumping of fluid along a finite collapsible tube when a wave of muscular contraction propagates along. As part of (a) we will investigate the mathematics behind the phenomenon that collapsed and ancollapsed configurations can arise at the same values of the flow rate, upstream pressure, and other governing parameters.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.cam.ac.uk |