Direct Integration of the Equation of Gradually Varied FlowSource: Journal of Irrigation and Drainage Engineering:;2004:;Volume ( 130 ):;issue: 001Author:Maurizio Venutelli
DOI: 10.1061/(ASCE)0733-9437(2004)130:1(88)Publisher: American Society of Civil Engineers
Abstract: The steady flow in open channels, when the depth of the flow varies gradually with distance, is governed by the classic gradually-varied-flow equation. The solution of this ordinary differential equation allows the tracing of the longitudinal profiles of the water surface of the flow. In this note, a relation obtained by direct integration is proposed for a wide rectangular channel, when Manning’s formula is used for the computation of the energy slope. Then the profiles for subcritical and supercritical flow in a mild and steep channel are presented and a comparison with the Bresse solution, relative to the same channels, is carried out.
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| contributor author | Maurizio Venutelli | |
| date accessioned | 2017-05-08T20:49:24Z | |
| date available | 2017-05-08T20:49:24Z | |
| date copyright | February 2004 | |
| date issued | 2004 | |
| identifier other | %28asce%290733-9437%282004%29130%3A1%2888%29.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/28234 | |
| description abstract | The steady flow in open channels, when the depth of the flow varies gradually with distance, is governed by the classic gradually-varied-flow equation. The solution of this ordinary differential equation allows the tracing of the longitudinal profiles of the water surface of the flow. In this note, a relation obtained by direct integration is proposed for a wide rectangular channel, when Manning’s formula is used for the computation of the energy slope. Then the profiles for subcritical and supercritical flow in a mild and steep channel are presented and a comparison with the Bresse solution, relative to the same channels, is carried out. | |
| publisher | American Society of Civil Engineers | |
| title | Direct Integration of the Equation of Gradually Varied Flow | |
| type | Journal Paper | |
| journal volume | 130 | |
| journal issue | 1 | |
| journal title | Journal of Irrigation and Drainage Engineering | |
| identifier doi | 10.1061/(ASCE)0733-9437(2004)130:1(88) | |
| tree | Journal of Irrigation and Drainage Engineering:;2004:;Volume ( 130 ):;issue: 001 | |
| contenttype | Fulltext |