| EPSRC Reference: |
GR/S76144/01 |
| Title: |
New solutions in Circular Pipe Flow & their Relation to Transition: A Joint Experimental & Theoretical Investigation |
| Principal Investigator: |
Kerswell, Professor R |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Mathematics |
| Organisation: |
University of Bristol |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 August 2004 |
Ends: |
31 July 2007 |
Value (£): |
92,825
|
| EPSRC Research Topic Classifications: |
| Condensed Matter Physics |
Continuum Mechanics |
| Fluid Dynamics |
Non-linear Systems Mathematics |
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
The transition form laminar to a turbulent flow in a pipe of circular cross section is one of the most intriguing problems of classical hydrdynamics. We propose to investigate the possibility that transition is dependent on the existence and basin of attraction of as yet unknown alternative solutions that do not have any connection with the well known laminar flow.This project is concerned with theoretically constructing and experimentally observing solutions to the Navier-stokes equations for flow down a pipe. The new solutions consist of three well defined fluid structures (streamwise rolls, streaks and wavelike disturbances) and will be generated by a smooth continuation procedure. A unique relaminarisation technique will be used to observe them in the laboratory. The local dynamics around such states will be explored numerically and by carefully controlled experiments in which the flow is subjected to specific perturbations. Pressure measurements will be made to characterise the transitional flows and a connection sought with the relevant coherent states known to be present theoretically. Also more complicated periodic solutions will also be sought which visit the vicinity of a number of coherent states.The impact of this work will be enormous since it will provide a novel theoretical framework for the interpretation of experimental and numerical work as well as providing a radically new research direction for this longstanding problem.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.bris.ac.uk |