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BIRS Workshop Lecture Videos

Low-order modelling of thick films on highy curved substrates Wray, Alex


Talk: Regular Abstract: Low-order modelling of the flow of fluid films has typically relied on the assumption that the thickness of a fluid is `small’ relative to both the characteristic wavelengths involved in the flow, and relative to the radius of curvature of the substrate. This is a significant imposition as many flows do not obey these constraints. Under a long-wave approximation, we use a symbolic algebra package to derive low-order models for low-order models of thick flows on substrates that are highly curved. We demonstrate that these models have a high degree of accuracy via comparison against direct numerical simulations.

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