| EPSRC Reference: |
GR/S56047/01 |
| Title: |
Coupled Amplitude-Mean Flow Equations for Faraday Waves |
| Principal Investigator: |
Knobloch, Professor E |
| Other Investigators: |
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| Department: |
Applied Mathematics |
| Organisation: |
University of Leeds |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
04 July 2003 |
Ends: |
31 December 2004 |
Value (£): |
4,018
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| EPSRC Research Topic Classifications: |
| Continuum Mechanics |
Non-linear Systems Mathematics |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The study of a new class of amplitude equations governing the evolution of Faraday waves in nearly inviscid liquids in three dimensions is proposed. These equations describe the interaction between the surface waves and mean flows driven by mean Reynolds stresses in oscillatory boundary layers along no-slip walls and the free surface. These equations will be derived in three cases: (i) single standing wave in a right cylindrical container with a slightly elliptical cross-section, (ii) mode-mode interaction in a container with a circular cross-section, and (iii) mode-mode interaction in square and almost square containers. The role of the mean flow in destabilizing the basic standing wave patterns will be investigated in regimes in which the Navier-Stokes-like equation for the mean flow simplifies, and explicit calculations for brimful containers (to pin the contact line) will be carried out.
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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.leeds.ac.uk |