| EPSRC Reference: |
GR/A00933/01 |
| Title: |
SURFACE TENSION-DRIVEN FLOWS WITH SINGULARITIES AND MOVING CONTACT LINES |
| Principal Investigator: |
Billingham, Professor J |
| Other Investigators: |
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| Project Partners: |
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| Department: |
School of Mathematics |
| Organisation: |
University of Birmingham |
| Scheme: |
Advanced Fellowship (Pre-FEC) |
| Starts: |
01 October 2000 |
Ends: |
31 August 2003 |
Value (£): |
232,135
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| EPSRC Research Topic Classifications: |
| 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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Free surface flows are important in a variety of naturally occuring and industrial situations. When the free surface is in contact with a solid surface there will be a contact line which is often moving. The motion of the contact line influences the flow field and, in the case of small scale flows, dominates it. In any mixing process the topology of the free surface will change as droplets and bubbles break up and coalesce. The motion of the contact lines and the singular behaviour of free surfaces during topological transitions is the subject of the proposed project.Specifically I will consider a new theory for the motion of contact lines using forced 2-dimensional sloshing in a rectangular container as a simple but physically relevant test problem. In addition I will study the small time asymptotic solution for the coalescence of inviscid cylinders and spheres under the action of surface tension. Finally I will determine how viscosity modifies the behaviour of free surfaces with an initially singular curvature.The work has applications to a wide variety of industrially relevant flows, many of which are already being studied in the School of Maths and Stats at Uni of Birmingham. These include coating flows in the production of photographic film (Kodak) swirling, unstable jet flows in the production of fertiliser pellets (Norsk) and the spreading of small water droplets on a chemically active surface (Pilkington) and the break up and coalescence of droplets in food emulsion (Unilever).
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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.bham.ac.uk |