Flow through a very porous obstacle in a shallow channel

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dc.contributor.authorCreed, M. J.
dc.contributor.authorDraper, S.
dc.contributor.authorNishino, Takafumi
dc.contributor.authorBorthwick, A. G. L.
dc.date.accessioned2017-06-15T09:31:00Z
dc.date.available2017-06-15T09:31:00Z
dc.date.issued2017-04-26
dc.description.abstractA theoretical model, informed by numerical simulations based on the shallow water equations, is developed to predict the flow passing through and around a uniform porous obstacle in a shallow channel, where background friction is important. This problem is relevant to a number of practical situations, including flow through aquatic vegetation, the performance of arrays of turbines in tidal channels and hydrodynamic forces on offshore structures. To demonstrate this relevance, the theoretical model is used to (i) reinterpret core flow velocities in existing laboratory-based data for an array of emergent cylinders in shallow water emulating aquatic vegetation and (ii) reassess the optimum arrangement of tidal turbines to generate power in a tidal channel. Comparison with laboratory-based data indicates a maximum obstacle resistance (or minimum porosity) for which the present theoretical model is valid. When the obstacle resistance is above this threshold the shallow water equations do not provide an adequate representation of the flow, and the theoretical model over-predicts the core flow passing through the obstacle. The second application of the model confirms that natural bed resistance increases the power extraction potential for a partial tidal fence in a shallow channel and alters the optimum arrangement of turbines within the fence.en_UK
dc.identifier.citationCreed MJ, Draper S, Nishino T, Borthwick AGL. (2017) Borthwick. Flow through a very porous obstacle in a shallow channel. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Volume 473, Issue 2200, April 2017, Article number 20160672en_UK
dc.identifier.issn1364-5021
dc.identifier.urihttp://dx.doi.org/10.1098/rspa.2016.0672
dc.identifier.urihttp://dspace.lib.cranfield.ac.uk/handle/1826/12025
dc.language.isoenen_UK
dc.publisherThe Royal Societyen_UK
dc.rights©2017. They Royal Society. This is the Author Accepted Manuscript. Please refer to any applicable publisher terms of use.
dc.titleFlow through a very porous obstacle in a shallow channelen_UK
dc.typeArticleen_UK

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