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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Prif Awduron: Najam us Saqib, Muhammad Akbar, Huali Pan, Guoqiang Ou, Muhammad Mohsin, Assad Ali, Azka Amin
Fformat: Erthygl
Iaith:English
Cyhoeddwyd: MDPI AG 2022-01-01
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.
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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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