A preliminary formula for calculating sediment incipient velocity at concave bank slope of river bend considering the effects of circulation and water flow momentum variations

A preliminary formula for calculating sediment incipient velocity at concave bank slope of river bend considering the effects of circulation and water flow momentum variations | 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 A preliminary formula for calculating sediment incipient velocity at concave bank slope of river bend considering the effects of circulation and water flow momentum variations Shaomin Meng, Xiaomin Liu, Tingxi Liu, Yaotian Yang, Jiayun Yang, and 3 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4570821/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 The transverse deformation of a riverbed is a natural phenomenon of river channel evolution. Sediment transport is the vehicle for the interactions between the water flow and the banks of a river bend, and it affects the formation, disappearance, and evolution of the river bend. To further investigate the sediment incipient motion on the concave bank slope of a river bend, an equation representing the equilibrium of forces on a sediment particle at the critical incipient motion was established using mechanical analysis and probability theory. Based on this equation and the assumption of a sliding mode of the incipient motion, the effects of the circulation and water flow momentum variations in a river bend in addition to conventionally considered forces on the sediment incipient motion were considered. Illustrations and physical diagrams of the forces on a sediment particle and its motion initiation process were clearly described. A formula representing the sediment incipient velocity on the sloped concave bank of a river bend was derived theoretically. The derived formula predictions agreed well with available experimental data. The Pearson correlation coefficient was > 0.87. The overall mean absolute error was 17.6% < 30%, which corresponded to an improvement in accuracy of 7.17% compared with the predictions using the formula proposed by Li. The factors affecting the sediment incipient velocity were examined. For a given flow rate and sediment particle size, the sediment incipient velocity increases with the increase in the gradient coefficient of a concave bank slope of a river bend. For a given flow rate and gradient coefficient, the sediment incipient velocity increases with increasing particle size. The proposed formula meets the calculation accuracy requirement and provides a theoretical reference for sediment transport in river bends. Earth and environmental sciences/Natural hazards Earth and environmental sciences/Solid earth sciences/Sedimentology river bend river bend circulation momentum variation sediment incipient velocity 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-4570821","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":321349455,"identity":"685268ca-25df-4220-9fcd-ad7b5e2f3ded","order_by":0,"name":"Shaomin Meng","email":"","orcid":"","institution":"Inner Mongolia Agricultural University","correspondingAuthor":false,"prefix":"","firstName":"Shaomin","middleName":"","lastName":"Meng","suffix":""},{"id":321349460,"identity":"bc465cca-9e8a-476c-885d-cd66f5ce5641","order_by":1,"name":"Xiaomin 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velocity","lastPublishedDoi":"10.21203/rs.3.rs-4570821/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4570821/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe transverse deformation of a riverbed is a natural phenomenon of river channel evolution. Sediment transport is the vehicle for the interactions between the water flow and the banks of a river bend, and it affects the formation, disappearance, and evolution of the river bend. To further investigate the sediment incipient motion on the concave bank slope of a river bend, an equation representing the equilibrium of forces on a sediment particle at the critical incipient motion was established using mechanical analysis and probability theory. Based on this equation and the assumption of a sliding mode of the incipient motion, the effects of the circulation and water flow momentum variations in a river bend in addition to conventionally considered forces on the sediment incipient motion were considered. Illustrations and physical diagrams of the forces on a sediment particle and its motion initiation process were clearly described. A formula representing the sediment incipient velocity on the sloped concave bank of a river bend was derived theoretically. The derived formula predictions agreed well with available experimental data. The Pearson correlation coefficient was \u0026gt;\u0026thinsp;0.87. The overall mean absolute error was 17.6% \u0026lt; 30%, which corresponded to an improvement in accuracy of 7.17% compared with the predictions using the formula proposed by Li. The factors affecting the sediment incipient velocity were examined. For a given flow rate and sediment particle size, the sediment incipient velocity increases with the increase in the gradient coefficient of a concave bank slope of a river bend. For a given flow rate and gradient coefficient, the sediment incipient velocity increases with increasing particle size. The proposed formula meets the calculation accuracy requirement and provides a theoretical reference for sediment transport in river bends.\u003c/p\u003e","manuscriptTitle":"A preliminary formula for calculating sediment incipient velocity at concave bank slope of river bend considering the effects of circulation and water flow momentum variations","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-07-03 06:17:21","doi":"10.21203/rs.3.rs-4570821/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":"e20f3f6b-7d05-444d-835b-cc27cc66a178","owner":[],"postedDate":"July 3rd, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":33974684,"name":"Earth and environmental sciences/Natural hazards"},{"id":33974685,"name":"Earth and environmental sciences/Solid earth sciences/Sedimentology"}],"tags":[],"updatedAt":"2024-08-07T03:54:08+00:00","versionOfRecord":[],"versionCreatedAt":"2024-07-03 06:17:21","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-4570821","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4570821","identity":"rs-4570821","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}