Developed log-wake law and turbulent behaviour of flow along a stepped spillway
The log-wake law for turbulent current has been developed and tested with laboratory data on turbulent flow in smooth pipes. However, flow with turbulence and vortices in a stepped spillway have not been described. Therefore, in this study, a log-wake law has been developed for use in stepped spillw...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IWA Publishing
2023-11-01
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| Series: | Water Practice and Technology |
| Subjects: | |
| Online Access: | http://wpt.iwaponline.com/content/18/11/2705 |
| _version_ | 1797428485237506048 |
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| author | Panaitep Pongcharoenpit Duangrudee Kositgittiwong Chaiwat Ekkawatpanit |
| author_facet | Panaitep Pongcharoenpit Duangrudee Kositgittiwong Chaiwat Ekkawatpanit |
| author_sort | Panaitep Pongcharoenpit |
| collection | DOAJ |
| description | The log-wake law for turbulent current has been developed and tested with laboratory data on turbulent flow in smooth pipes. However, flow with turbulence and vortices in a stepped spillway have not been described. Therefore, in this study, a log-wake law has been developed for use in stepped spillway systems. It can be divided into three parts. The first part, a logarithmic equation, describes the effect of shear stress between the flow layers with a von Kármán constant of 0.41. The second part, a third-degree polynomial, describes the effect of the shear stress on the wall. The last part, a fourth-degree polynomial, describes the effect of changing the flow pressure distribution, similar to the wall-free shear stress. Calibration tests (68 datasets) are used with a flow rate between 0.0233 and 3.285 m3/s, a spillway slope of 14–30°, and a step height of 0.0380–0.610 m. The developed log-wake law characterized the flow in a stepped spillway well. The limitation of the equation is a maximum flow velocity of 4 m/s; the accuracy of this equation decreases as the step height increases.
HIGHLIGHTS
The developed log-wake law for the spillway is provided.;
Related experimental data are included.; |
| first_indexed | 2024-03-09T08:59:34Z |
| format | Article |
| id | doaj.art-c11f0f43ae664f89a5489c73943575de |
| institution | Directory Open Access Journal |
| issn | 1751-231X |
| language | English |
| last_indexed | 2024-03-09T08:59:34Z |
| publishDate | 2023-11-01 |
| publisher | IWA Publishing |
| record_format | Article |
| series | Water Practice and Technology |
| spelling | doaj.art-c11f0f43ae664f89a5489c73943575de2023-12-02T12:11:20ZengIWA PublishingWater Practice and Technology1751-231X2023-11-0118112705272510.2166/wpt.2023.153153Developed log-wake law and turbulent behaviour of flow along a stepped spillwayPanaitep Pongcharoenpit0Duangrudee Kositgittiwong1Chaiwat Ekkawatpanit2 Department of Civil Engineering, Faculty of Engineering, King Mongkut's University of Technology Thonburi, Bangkok 10140, Thailand Department of Civil Engineering, Faculty of Engineering, King Mongkut's University of Technology Thonburi, Bangkok 10140, Thailand Department of Civil Engineering, Faculty of Engineering, King Mongkut's University of Technology Thonburi, Bangkok 10140, Thailand The log-wake law for turbulent current has been developed and tested with laboratory data on turbulent flow in smooth pipes. However, flow with turbulence and vortices in a stepped spillway have not been described. Therefore, in this study, a log-wake law has been developed for use in stepped spillway systems. It can be divided into three parts. The first part, a logarithmic equation, describes the effect of shear stress between the flow layers with a von Kármán constant of 0.41. The second part, a third-degree polynomial, describes the effect of the shear stress on the wall. The last part, a fourth-degree polynomial, describes the effect of changing the flow pressure distribution, similar to the wall-free shear stress. Calibration tests (68 datasets) are used with a flow rate between 0.0233 and 3.285 m3/s, a spillway slope of 14–30°, and a step height of 0.0380–0.610 m. The developed log-wake law characterized the flow in a stepped spillway well. The limitation of the equation is a maximum flow velocity of 4 m/s; the accuracy of this equation decreases as the step height increases. HIGHLIGHTS The developed log-wake law for the spillway is provided.; Related experimental data are included.;http://wpt.iwaponline.com/content/18/11/2705hydraulics & hydrodynamicslog-wake lawstepped spillwayturbulence flowvelocity profilesviscosity |
| spellingShingle | Panaitep Pongcharoenpit Duangrudee Kositgittiwong Chaiwat Ekkawatpanit Developed log-wake law and turbulent behaviour of flow along a stepped spillway Water Practice and Technology hydraulics & hydrodynamics log-wake law stepped spillway turbulence flow velocity profiles viscosity |
| title | Developed log-wake law and turbulent behaviour of flow along a stepped spillway |
| title_full | Developed log-wake law and turbulent behaviour of flow along a stepped spillway |
| title_fullStr | Developed log-wake law and turbulent behaviour of flow along a stepped spillway |
| title_full_unstemmed | Developed log-wake law and turbulent behaviour of flow along a stepped spillway |
| title_short | Developed log-wake law and turbulent behaviour of flow along a stepped spillway |
| title_sort | developed log wake law and turbulent behaviour of flow along a stepped spillway |
| topic | hydraulics & hydrodynamics log-wake law stepped spillway turbulence flow velocity profiles viscosity |
| url | http://wpt.iwaponline.com/content/18/11/2705 |
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