Moment of momentum equation for curvilinear free-surface flow
The control volume approach in fluid mechanics relies upon the conservation of energy, momentum and angular momentum. However, open channel flows are typically related to only conservation of energy and momentum. Thus, for flows of non-uniform velocity and non-hydrostatic pressure distributions, the number of unknowns is larger than that of equations for depth-averaged models. This gap resulted in semi-empirical approaches either using momentum or using energy conservation. However, a more fundamental depth-averaged model may be developed by accounting for angular momentum balance. This basic approach was largely overlooked in hydraulic practice. The generalized form of the control volume conservation laws in curvilinear flow are presented herein, including the angular momentum balance. The development is used to prove that the classical Boussinesq-type solution does not satisfy the angular momentum balance. A more general Boussinesq approach is considered and applied to the 2D free overfall, indicating its ability to reproduce the salient flow features. © 2010 International Association for Hydro-Environment Engineering and Research.
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Format: | artículo biblioteca |
Language: | English |
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Taylor & Francis
2010-10
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Subjects: | Curvilinear flow, Open channel, Spillway, Two-dimensional flow, Weir, |
Online Access: | http://hdl.handle.net/10261/89984 |
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dig-ias-es-10261-899842016-02-17T23:18:08Z Moment of momentum equation for curvilinear free-surface flow Castro-Orgaz, Óscar Hager, Willi H. Curvilinear flow Open channel Spillway Two-dimensional flow Weir The control volume approach in fluid mechanics relies upon the conservation of energy, momentum and angular momentum. However, open channel flows are typically related to only conservation of energy and momentum. Thus, for flows of non-uniform velocity and non-hydrostatic pressure distributions, the number of unknowns is larger than that of equations for depth-averaged models. This gap resulted in semi-empirical approaches either using momentum or using energy conservation. However, a more fundamental depth-averaged model may be developed by accounting for angular momentum balance. This basic approach was largely overlooked in hydraulic practice. The generalized form of the control volume conservation laws in curvilinear flow are presented herein, including the angular momentum balance. The development is used to prove that the classical Boussinesq-type solution does not satisfy the angular momentum balance. A more general Boussinesq approach is considered and applied to the 2D free overfall, indicating its ability to reproduce the salient flow features. © 2010 International Association for Hydro-Environment Engineering and Research. Peer Reviewed 2014-01-28T08:41:00Z 2014-01-28T08:41:00Z 2010-10 2014-01-28T08:41:00Z artículo http://purl.org/coar/resource_type/c_6501 doi: 10.1080/00221686.2010.507359 issn: 0022-1686 e-issn: 1814-2079 Journal of Hydraulic Research 48(5): 620-631 (2010) http://hdl.handle.net/10261/89984 10.1080/00221686.2010.507359 en none Taylor & Francis |
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Curvilinear flow Open channel Spillway Two-dimensional flow Weir Curvilinear flow Open channel Spillway Two-dimensional flow Weir Castro-Orgaz, Óscar Hager, Willi H. Moment of momentum equation for curvilinear free-surface flow |
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The control volume approach in fluid mechanics relies upon the conservation of energy, momentum and angular momentum. However, open channel flows are typically related to only conservation of energy and momentum. Thus, for flows of non-uniform velocity and non-hydrostatic pressure distributions, the number of unknowns is larger than that of equations for depth-averaged models. This gap resulted in semi-empirical approaches either using momentum or using energy conservation. However, a more fundamental depth-averaged model may be developed by accounting for angular momentum balance. This basic approach was largely overlooked in hydraulic practice. The generalized form of the control volume conservation laws in curvilinear flow are presented herein, including the angular momentum balance. The development is used to prove that the classical Boussinesq-type solution does not satisfy the angular momentum balance. A more general Boussinesq approach is considered and applied to the 2D free overfall, indicating its ability to reproduce the salient flow features. © 2010 International Association for Hydro-Environment Engineering and Research. |
format |
artículo |
topic_facet |
Curvilinear flow Open channel Spillway Two-dimensional flow Weir |
author |
Castro-Orgaz, Óscar Hager, Willi H. |
author_facet |
Castro-Orgaz, Óscar Hager, Willi H. |
author_sort |
Castro-Orgaz, Óscar |
title |
Moment of momentum equation for curvilinear free-surface flow |
title_short |
Moment of momentum equation for curvilinear free-surface flow |
title_full |
Moment of momentum equation for curvilinear free-surface flow |
title_fullStr |
Moment of momentum equation for curvilinear free-surface flow |
title_full_unstemmed |
Moment of momentum equation for curvilinear free-surface flow |
title_sort |
moment of momentum equation for curvilinear free-surface flow |
publisher |
Taylor & Francis |
publishDate |
2010-10 |
url |
http://hdl.handle.net/10261/89984 |
work_keys_str_mv |
AT castroorgazoscar momentofmomentumequationforcurvilinearfreesurfaceflow AT hagerwillih momentofmomentumequationforcurvilinearfreesurfaceflow |
_version_ |
1777663000720703488 |