Computation of vertically averaged velocities in irregular sections of straight channels
Two new methods for vertically averaged velocity computation are presented, validated and compared with other available formulas. The first method derives from the well-known Huthoff algorithm, which is first shown to be dependent on the way the river cross section is discretized into several subsec...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2015-09-01
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| Series: | Hydrology and Earth System Sciences |
| Online Access: | http://www.hydrol-earth-syst-sci.net/19/3857/2015/hess-19-3857-2015.pdf |
| _version_ | 1830509698833448960 |
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| author | E. Spada T. Tucciarelli M. Sinagra V. Sammartano G. Corato |
| author_facet | E. Spada T. Tucciarelli M. Sinagra V. Sammartano G. Corato |
| author_sort | E. Spada |
| collection | DOAJ |
| description | Two new methods for vertically averaged velocity computation are presented,
validated and compared with other available formulas. The first method
derives from the well-known Huthoff algorithm, which is first shown to be
dependent on the way the river cross section is discretized into several
subsections. The second method assumes the vertically averaged longitudinal
velocity to be a function only of the friction factor and of the so-called
"local hydraulic radius", computed as the ratio between the integral of the
elementary areas around a given vertical and the integral of the elementary
solid boundaries around the same vertical. Both integrals are weighted with a
linear shape function equal to zero at a distance from the integration
variable which is proportional to the water depth according to an empirical
coefficient β. Both formulas are validated against (1) laboratory
experimental data, (2) discharge hydrographs measured in a real site, where
the friction factor is estimated from an unsteady-state analysis of water
levels recorded in two different river cross sections, and (3) the 3-D solution
obtained using the commercial ANSYS CFX code, computing the steady-state
uniform flow in a cross section of the Alzette River. |
| first_indexed | 2024-12-22T01:38:56Z |
| format | Article |
| id | doaj.art-176939f74a4140e894bdf5592f9936ca |
| institution | Directory Open Access Journal |
| issn | 1027-5606 1607-7938 |
| language | English |
| last_indexed | 2024-12-22T01:38:56Z |
| publishDate | 2015-09-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Hydrology and Earth System Sciences |
| spelling | doaj.art-176939f74a4140e894bdf5592f9936ca2022-12-21T18:43:18ZengCopernicus PublicationsHydrology and Earth System Sciences1027-56061607-79382015-09-011993857387310.5194/hess-19-3857-2015Computation of vertically averaged velocities in irregular sections of straight channelsE. Spada0T. Tucciarelli1M. Sinagra2V. Sammartano3G. Corato4Dipartimento di Ingegneria Civile, Ambientale, Aerospaziale, dei Materiali (DICAM), Università degli studi di Palermo, Viale delle Scienze, 90128, Palermo, ItalyDipartimento di Ingegneria Civile, Ambientale, Aerospaziale, dei Materiali (DICAM), Università degli studi di Palermo, Viale delle Scienze, 90128, Palermo, ItalyDipartimento di Ingegneria Civile, Ambientale, Aerospaziale, dei Materiali (DICAM), Università degli studi di Palermo, Viale delle Scienze, 90128, Palermo, ItalyDipartimento di Ingegneria Civile, dell'Energia, dell'Ambiente e dei Materiali (DICEAM), Università Mediterranea di Reggio Calabria, Via Graziella, 89122, Reggio Calabria, ItalyCentre de Recherche Public – Gabriel Lippmann, 41 rue du Brill, 4422 Belvaux, LuxembourgTwo new methods for vertically averaged velocity computation are presented, validated and compared with other available formulas. The first method derives from the well-known Huthoff algorithm, which is first shown to be dependent on the way the river cross section is discretized into several subsections. The second method assumes the vertically averaged longitudinal velocity to be a function only of the friction factor and of the so-called "local hydraulic radius", computed as the ratio between the integral of the elementary areas around a given vertical and the integral of the elementary solid boundaries around the same vertical. Both integrals are weighted with a linear shape function equal to zero at a distance from the integration variable which is proportional to the water depth according to an empirical coefficient β. Both formulas are validated against (1) laboratory experimental data, (2) discharge hydrographs measured in a real site, where the friction factor is estimated from an unsteady-state analysis of water levels recorded in two different river cross sections, and (3) the 3-D solution obtained using the commercial ANSYS CFX code, computing the steady-state uniform flow in a cross section of the Alzette River.http://www.hydrol-earth-syst-sci.net/19/3857/2015/hess-19-3857-2015.pdf |
| spellingShingle | E. Spada T. Tucciarelli M. Sinagra V. Sammartano G. Corato Computation of vertically averaged velocities in irregular sections of straight channels Hydrology and Earth System Sciences |
| title | Computation of vertically averaged velocities in irregular sections of straight channels |
| title_full | Computation of vertically averaged velocities in irregular sections of straight channels |
| title_fullStr | Computation of vertically averaged velocities in irregular sections of straight channels |
| title_full_unstemmed | Computation of vertically averaged velocities in irregular sections of straight channels |
| title_short | Computation of vertically averaged velocities in irregular sections of straight channels |
| title_sort | computation of vertically averaged velocities in irregular sections of straight channels |
| url | http://www.hydrol-earth-syst-sci.net/19/3857/2015/hess-19-3857-2015.pdf |
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