Unsteady Boussinesq-type flow equations for gradually-eroded beds: Application to dike breaches
Dike breach due to overtopping involves unsteady flow over a curved bed continuously deforming in time due to erosion. The curvatures and slopes on the water surface and the bed profiles indicate that the shallow-water-equations may be inappropriate for modelling purposes. The next degree of mathematical approximation is given by the Boussinesq equations accounting for vertical inertia effects. Herein novel unsteady flow equations for a curved erodible bed are developed. Using a Boussinesq-type closure, expressions for the vertical velocity, the pressure distribution and the momentum function are presented. These depend on two parameters relating to the temporal and spatial derivatives of the flow depth, namely bottom elevation and average flow velocity. The model equations are compared with previous unsteady Boussinesq-type models, indicating that the novel formulation is a generalization for erodible beds. The Boussinesq coefficients are further investigated using selected experiments conducted at VAW, ETH. © 2013 Copyright International Association for Hydro-Environment Engineering and Research.
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Format: | artículo biblioteca |
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Taylor & Francis
2013
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Subjects: | Dike, Erodible bed, Hydraulics, Curved bed, Boussinesq equations, Open channel flow, |
Online Access: | http://hdl.handle.net/10261/95062 |
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dig-ias-es-10261-950622016-02-18T02:55:34Z Unsteady Boussinesq-type flow equations for gradually-eroded beds: Application to dike breaches Castro-Orgaz, Óscar Hager, Willi H. Dike Erodible bed Hydraulics Curved bed Boussinesq equations Open channel flow Dike breach due to overtopping involves unsteady flow over a curved bed continuously deforming in time due to erosion. The curvatures and slopes on the water surface and the bed profiles indicate that the shallow-water-equations may be inappropriate for modelling purposes. The next degree of mathematical approximation is given by the Boussinesq equations accounting for vertical inertia effects. Herein novel unsteady flow equations for a curved erodible bed are developed. Using a Boussinesq-type closure, expressions for the vertical velocity, the pressure distribution and the momentum function are presented. These depend on two parameters relating to the temporal and spatial derivatives of the flow depth, namely bottom elevation and average flow velocity. The model equations are compared with previous unsteady Boussinesq-type models, indicating that the novel formulation is a generalization for erodible beds. The Boussinesq coefficients are further investigated using selected experiments conducted at VAW, ETH. © 2013 Copyright International Association for Hydro-Environment Engineering and Research. Peer Reviewed 2014-04-07T09:22:00Z 2014-04-07T09:22:00Z 2013 2014-04-07T09:22:00Z artículo http://purl.org/coar/resource_type/c_6501 doi: 10.1080/00221686.2012.739579 issn: 0022-1686 e-issn: 1814-2079 Journal of Hydraulic Research 51(2): 203-208 (2013) http://hdl.handle.net/10261/95062 10.1080/00221686.2012.739579 none Taylor & Francis International Association of Hydraulic Engineering and Research |
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Dike Erodible bed Hydraulics Curved bed Boussinesq equations Open channel flow Dike Erodible bed Hydraulics Curved bed Boussinesq equations Open channel flow |
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Dike Erodible bed Hydraulics Curved bed Boussinesq equations Open channel flow Dike Erodible bed Hydraulics Curved bed Boussinesq equations Open channel flow Castro-Orgaz, Óscar Hager, Willi H. Unsteady Boussinesq-type flow equations for gradually-eroded beds: Application to dike breaches |
description |
Dike breach due to overtopping involves unsteady flow over a curved bed continuously deforming in time due to erosion. The curvatures and slopes on the water surface and the bed profiles indicate that the shallow-water-equations may be inappropriate for modelling purposes. The next degree of mathematical approximation is given by the Boussinesq equations accounting for vertical inertia effects. Herein novel unsteady flow equations for a curved erodible bed are developed. Using a Boussinesq-type closure, expressions for the vertical velocity, the pressure distribution and the momentum function are presented. These depend on two parameters relating to the temporal and spatial derivatives of the flow depth, namely bottom elevation and average flow velocity. The model equations are compared with previous unsteady Boussinesq-type models, indicating that the novel formulation is a generalization for erodible beds. The Boussinesq coefficients are further investigated using selected experiments conducted at VAW, ETH. © 2013 Copyright International Association for Hydro-Environment Engineering and Research. |
format |
artículo |
topic_facet |
Dike Erodible bed Hydraulics Curved bed Boussinesq equations Open channel flow |
author |
Castro-Orgaz, Óscar Hager, Willi H. |
author_facet |
Castro-Orgaz, Óscar Hager, Willi H. |
author_sort |
Castro-Orgaz, Óscar |
title |
Unsteady Boussinesq-type flow equations for gradually-eroded beds: Application to dike breaches |
title_short |
Unsteady Boussinesq-type flow equations for gradually-eroded beds: Application to dike breaches |
title_full |
Unsteady Boussinesq-type flow equations for gradually-eroded beds: Application to dike breaches |
title_fullStr |
Unsteady Boussinesq-type flow equations for gradually-eroded beds: Application to dike breaches |
title_full_unstemmed |
Unsteady Boussinesq-type flow equations for gradually-eroded beds: Application to dike breaches |
title_sort |
unsteady boussinesq-type flow equations for gradually-eroded beds: application to dike breaches |
publisher |
Taylor & Francis |
publishDate |
2013 |
url |
http://hdl.handle.net/10261/95062 |
work_keys_str_mv |
AT castroorgazoscar unsteadyboussinesqtypeflowequationsforgraduallyerodedbedsapplicationtodikebreaches AT hagerwillih unsteadyboussinesqtypeflowequationsforgraduallyerodedbedsapplicationtodikebreaches |
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