Numerical Analysis of Pressure Profiles and Energy Dissipation across Stepped Spillways Having Curved Risers
In this study, curved risers stepped spillways models based on the increasing angle of suspension were tested to check for improvement in energy dissipation and pressure distributions. Four fourteen-steps stepped spillway models with a slope 1:0.84 were selected, using Froude’s number non-dimensiona...
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MDPI AG
2022-01-01
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Cyfres: | Applied Sciences |
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Mynediad Ar-lein: | https://www.mdpi.com/2076-3417/12/1/448 |
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author | Najam us Saqib Muhammad Akbar Huali Pan Guoqiang Ou Muhammad Mohsin Assad Ali Azka Amin |
author_facet | Najam us Saqib Muhammad Akbar Huali Pan Guoqiang Ou Muhammad Mohsin Assad Ali Azka Amin |
author_sort | Najam us Saqib |
collection | DOAJ |
description | In this study, curved risers stepped spillways models based on the increasing angle of suspension were tested to check for improvement in energy dissipation and pressure distributions. Four fourteen-steps stepped spillway models with a slope 1:0.84 were selected, using Froude’s number non-dimensional similarity. The risers of steps were made curved, based on three angles of suspensions, i.e., 30°, 60°, and 90°. The simulations were performed by FLOW 3D software and by the turbulence model Renormalization Group (RNG) for discharges between 0.020 and 0.068 m<sup>3</sup>/s followed by the model calibration. The 3D Reynolds-averaged Navier–Stokes equations were solved, which included sub-grid models for air entrainment, density evaluation, and drift–flux, to capture free-surface flow over the stepped spillway. It was estimated that curving the risers increases the energy dissipation up to three percent for lower flow rates, whereas it has no significant impact on energy dissipation for higher flow rates. It was found that in simply stepped spillway lower steps dissipate more energy as compared to curved risers stepped where energy dissipation is shifted to higher steps. On the other hand, curved risers stepped spillways showed lower values of negative pressures as compared to the simply stepped spillway. It was seen that a higher energy dissipating step as experienced more negative pressures as compared to the lower energy dissipating step. |
first_indexed | 2024-03-10T03:48:29Z |
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issn | 2076-3417 |
language | English |
last_indexed | 2024-03-10T03:48:29Z |
publishDate | 2022-01-01 |
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spelling | doaj.art-9ba49bcdf1394e0b84616c333de2376d2023-11-23T11:13:11ZengMDPI AGApplied Sciences2076-34172022-01-0112144810.3390/app12010448Numerical Analysis of Pressure Profiles and Energy Dissipation across Stepped Spillways Having Curved RisersNajam us Saqib0Muhammad Akbar1Huali Pan2Guoqiang Ou3Muhammad Mohsin4Assad Ali5Azka Amin6Faculty of Engineering, Lahore Leads University, Lahore 54000, PakistanInstitute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu 610041, ChinaInstitute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu 610041, ChinaInstitute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu 610041, ChinaDepartment of Civil Engineering, Jiangsu University of Science and Technology, Zhenjiang 212013, ChinaDepartment of Civil Engineering, Jiangsu University of Science and Technology, Zhenjiang 212013, ChinaFaculty of Business Administration, Iqra University, Karachi 75500, PakistanIn this study, curved risers stepped spillways models based on the increasing angle of suspension were tested to check for improvement in energy dissipation and pressure distributions. Four fourteen-steps stepped spillway models with a slope 1:0.84 were selected, using Froude’s number non-dimensional similarity. The risers of steps were made curved, based on three angles of suspensions, i.e., 30°, 60°, and 90°. The simulations were performed by FLOW 3D software and by the turbulence model Renormalization Group (RNG) for discharges between 0.020 and 0.068 m<sup>3</sup>/s followed by the model calibration. The 3D Reynolds-averaged Navier–Stokes equations were solved, which included sub-grid models for air entrainment, density evaluation, and drift–flux, to capture free-surface flow over the stepped spillway. It was estimated that curving the risers increases the energy dissipation up to three percent for lower flow rates, whereas it has no significant impact on energy dissipation for higher flow rates. It was found that in simply stepped spillway lower steps dissipate more energy as compared to curved risers stepped where energy dissipation is shifted to higher steps. On the other hand, curved risers stepped spillways showed lower values of negative pressures as compared to the simply stepped spillway. It was seen that a higher energy dissipating step as experienced more negative pressures as compared to the lower energy dissipating step.https://www.mdpi.com/2076-3417/12/1/448stepped spillwaysflow 3Denergy dissipationspressure profilescavitation |
spellingShingle | Najam us Saqib Muhammad Akbar Huali Pan Guoqiang Ou Muhammad Mohsin Assad Ali Azka Amin Numerical Analysis of Pressure Profiles and Energy Dissipation across Stepped Spillways Having Curved Risers Applied Sciences stepped spillways flow 3D energy dissipations pressure profiles cavitation |
title | Numerical Analysis of Pressure Profiles and Energy Dissipation across Stepped Spillways Having Curved Risers |
title_full | Numerical Analysis of Pressure Profiles and Energy Dissipation across Stepped Spillways Having Curved Risers |
title_fullStr | Numerical Analysis of Pressure Profiles and Energy Dissipation across Stepped Spillways Having Curved Risers |
title_full_unstemmed | Numerical Analysis of Pressure Profiles and Energy Dissipation across Stepped Spillways Having Curved Risers |
title_short | Numerical Analysis of Pressure Profiles and Energy Dissipation across Stepped Spillways Having Curved Risers |
title_sort | numerical analysis of pressure profiles and energy dissipation across stepped spillways having curved risers |
topic | stepped spillways flow 3D energy dissipations pressure profiles cavitation |
url | https://www.mdpi.com/2076-3417/12/1/448 |
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