| EPSRC Reference: |
GR/S35660/01 |
| Title: |
Efficient and Reliable Computation of Technologically Important Thin Film Flows |
| Principal Investigator: |
Barrett, Professor J |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematics |
| Organisation: |
Imperial College London |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 October 2003 |
Ends: |
31 January 2007 |
Value (£): |
145,290
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| EPSRC Research Topic Classifications: |
| Continuum Mechanics |
Fluid Dynamics |
| Numerical Analysis |
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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 proposed multidisciplinary work will merge effectively the expertise of JWB (mathematician) and OKM (engineer) in the areas of (computational nonlinear PDEs and thin film fluid mechanics, respectively, in order to develop an efficient and reliable numerical scheme to compute the evolutic thin liquid films. Particular attention will be given to such technologically important applications such as coating flows, manipulation of thin liquid on the micro and nano scales in the microelectronic industry, as well as biomedical applications such as surfactant replacement and gene therapies The technique will be able to describe accurately complicated physical phenomena, which accompany the flow of surfactant covered thin films (10( in thickness) such as fingering (which gives rise to highly non-uniform surface coverage) and dewetting on chemically and physically heterogeneous solid substrates. The model consists of a coupled system of degenerate, fourth order and nonlinear, partial differential equations. Local error cot local mesh refinement, adaptive time stepping and stopping criteria will be developed to ensure that the numerical scheme will be totally reliable very accurate. Numerical experiments will then be conducted for a variety of system parameters and the results will be validated against prey numerical and laboratory experiments. The numerical procedure developed can then be used as a reliable research tool to investigate thin film flov a variety of engineering settings.
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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.imperial.ac.uk |