Effect of Bubble Transport on Turbulent Dissipation in Aerated Flow of an Expanded-Drop Stilling Basin

Effect of Bubble Transport on Turbulent Dissipation in Aerated Flow of an Expanded-Drop Stilling Basin | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Effect of Bubble Transport on Turbulent Dissipation in Aerated Flow of an Expanded-Drop Stilling Basin Yinwei Qi, Chaoming Zu, Yong Qiu, Ling Li, Tianrui Jiang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7903625/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Friction and shear between the jet flow and the hydraulic jump in a sudden-expansion stilling basin enhance air entrainment. A population balance model was employed to simulate the transport characteristics of entrained bubbles and their influence on turbulent energy dissipation. The results indicate that near the basin floor, the number density of bubbles with d a ≤ 0.5 mm reaches 29.58 bubbles/cm 3 , significantly exceeding the value of 2.10 bubbles/cm 3 observed in conventional stilling basins. The drag-buoyancy ratio ( R ( d + G )/ b ), which characterizes the vertical transport of bubbles of different sizes, reveals that bubbles with d a = 0.5 mm exhibit a ratio of 9.30 (indicating accumulation near the floor), whereas those with d a ≥ 4.0 mm have ratios below 1.00 (promoting escape to the surface). Under the combined effects of roller re-entrainment in the hydraulic jump and jet-induced variations in bubble drag ratio, the vertical turbulent dissipation rate exhibits a distinct "dual-peak" profile. Notably, in the floor impingement zone, the turbulent dissipation rate reaches 23.21 J·kg − 1 ·s − 1 —seven times higher than the 2.90 J·kg − 1 ·s − 1 observed in conventional stilling basins. These findings demonstrate that bubble transport characteristics in aerated flows, particularly the clustering effect of micro-bubbles, constitute the fundamental mechanism for enhanced energy dissipation in expanded plunging pools. Physical sciences/Engineering Physical sciences/Physics Turbulent kinetic energy dissipation Vertical transport Bubble number density Aerated flow Expanded-Drop Stilling Basin Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-7903625","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":537081265,"identity":"0530b321-19ed-44a3-84d3-e50d53f2c6a1","order_by":0,"name":"Yinwei Qi","email":"","orcid":"","institution":"Yunnan Agricultural University","correspondingAuthor":false,"prefix":"","firstName":"Yinwei","middleName":"","lastName":"Qi","suffix":""},{"id":537081266,"identity":"27c676d8-4e25-4b33-8302-78d2d577876a","order_by":1,"name":"Chaoming Zu","email":"","orcid":"","institution":"Yunnan Chuxiong Xinyuan Water Resources \u0026 Hydropower Survey and Design Co., 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Basin","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Turbulent kinetic energy dissipation, Vertical transport, Bubble number density, Aerated flow, Expanded-Drop Stilling Basin","lastPublishedDoi":"10.21203/rs.3.rs-7903625/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7903625/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eFriction and shear between the jet flow and the hydraulic jump in a sudden-expansion stilling basin enhance air entrainment. A population balance model was employed to simulate the transport characteristics of entrained bubbles and their influence on turbulent energy dissipation. The results indicate that near the basin floor, the number density of bubbles with \u003cem\u003ed\u003c/em\u003e\u003csub\u003e\u003cem\u003ea\u003c/em\u003e\u003c/sub\u003e \u0026le; 0.5 mm reaches 29.58 bubbles/cm\u003csup\u003e3\u003c/sup\u003e, significantly exceeding the value of 2.10 bubbles/cm\u003csup\u003e3\u003c/sup\u003e observed in conventional stilling basins. The drag-buoyancy ratio (\u003cem\u003eR\u003c/em\u003e\u003csub\u003e(\u003cem\u003ed\u003c/em\u003e+\u003cem\u003eG\u003c/em\u003e)/\u003cem\u003eb\u003c/em\u003e\u003c/sub\u003e), which characterizes the vertical transport of bubbles of different sizes, reveals that bubbles with \u003cem\u003ed\u003c/em\u003e\u003csub\u003e\u003cem\u003ea\u003c/em\u003e\u003c/sub\u003e = 0.5 mm exhibit a ratio of 9.30 (indicating accumulation near the floor), whereas those with \u003cem\u003ed\u003c/em\u003e\u003csub\u003e\u003cem\u003ea\u003c/em\u003e\u003c/sub\u003e \u0026ge; 4.0 mm have ratios below 1.00 (promoting escape to the surface). Under the combined effects of roller re-entrainment in the hydraulic jump and jet-induced variations in bubble drag ratio, the vertical turbulent dissipation rate exhibits a distinct \"dual-peak\" profile. Notably, in the floor impingement zone, the turbulent dissipation rate reaches 23.21 J\u0026middot;kg\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e\u0026middot;s\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e\u0026mdash;seven times higher than the 2.90 J\u0026middot;kg\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e\u0026middot;s\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e observed in conventional stilling basins. These findings demonstrate that bubble transport characteristics in aerated flows, particularly the clustering effect of micro-bubbles, constitute the fundamental mechanism for enhanced energy dissipation in expanded plunging pools.\u003c/p\u003e","manuscriptTitle":"Effect of Bubble Transport on Turbulent Dissipation in Aerated Flow of an Expanded-Drop Stilling Basin","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-11-07 04:43:08","doi":"10.21203/rs.3.rs-7903625/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"2983295c-4efc-42b9-9e71-9f387558db1f","owner":[],"postedDate":"November 7th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":57115588,"name":"Physical sciences/Engineering"},{"id":57115589,"name":"Physical sciences/Physics"}],"tags":[],"updatedAt":"2026-02-25T14:55:55+00:00","versionOfRecord":[],"versionCreatedAt":"2025-11-07 04:43:08","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7903625","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7903625","identity":"rs-7903625","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}