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Details of Grant 

EPSRC Reference: EP/C546946/1
Title: Weakly dispersive two-layer hydraulic flows
Principal Investigator: Johnson, Professor ER
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Department: Mathematics
Organisation: UCL
Scheme: Mathematics Small Grant PreFEC
Starts: 14 March 2005 Ends: 13 March 2006 Value (£): 6,100
EPSRC Research Topic Classifications:
Continuum Mechanics
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
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Summary on Grant Application Form
Hydraulic flows past topographic changes in the depth or width of a channel are characterised by properties of the flow such as the mean velocity only being a function of the topographic perturbation. Flows in which these properties differ upstream and downstream of the maximum topographic perturbation are known as hydraulically controlled flows and are ubiquitous in large and smale scale environmental flows. A classic example is exchange flow in a contraction; this contraction could be a dam wier or the Straits of Gibraltar. Hydraulic theory for flow through contractions has extensive application, however it is limited in that dispersion due to waves is ignored and it is by in large steady. This then leads us to ask how do hydraulically controlled flows develop and what is the preferred state when multiple hydraulically controlled states are possible? This research aims to address these questions by investigating unsteady weakly-dispersive hydraulic flows. Using this approach we aim to address to determine if hydraulic solutions are a valid approximations to reality, and secondly what effect the initial state has on possible steady hydraulic solutions.
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