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EPSRC Reference: GR/K85919/01
Title: MODELLING NONLINEAR BREAKDOWN IN BOUNDARY-LAYER TRANSITION USING A TRIPLE-DECKED FORMULATION
Principal Investigator: Healey, Professor J
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Researcher Co-Investigators:
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Department: Mathematics
Organisation: Keele University
Scheme: Standard Research (Pre-FEC)
Starts: 01 October 1996 Ends: 30 September 1999 Value (£): 42,031
EPSRC Research Topic Classifications:
Continuum Mechanics
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Summary on Grant Application Form
The disturbances that are involved in transition in flat-plate boundary layers are known to have an essentially triple-decked structure. This feature will be exploited by solving a modified set of interacting boundary layer equations, which should yield realistic solutions but at much less computational expense than a full Navier-Stokes numerical solution. Recent wind-tunnel experiments have shown that certain disturbances are more susceptible to nonlinear breakdown than others, and these will be used as initial conditions in the numerical solutions of the model. In this way the relative importance of two- and three- dimensional mechanisms can be studied (which would be very much more difficult in wind-tunnel experiments where all disturbances are three-dimensional to some extent). Appropriate nonlinear amplitude equations will be constructed by analysing the numerical data. These simplified equations can then be analysed to elucidate the underlying nonlinear mechanisms. These equations, and their properties, will then be compared to amplitude equations derived using multiple-scales theory.
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Organisation Website: http://www.keele.ac.uk