Quantum hydrodynamics of the Bingham fluid and the CNT enhanced fluid flow

Quantum hydrodynamics of the Bingham fluid and the CNT enhanced fluid flow | 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 Research Article Quantum hydrodynamics of the Bingham fluid and the CNT enhanced fluid flow Rafaela Alvarenga, Felipe Escórcio, Alan Barros de Oliveira, Hermano Velten This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8222487/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 superflow of water at nanoscale remains an open problem. Classical hydro-dynamics predicts flow rates that are 2 to 5 orders of magnitude lower than thoseobserved experimentally. Therefore, it is natural to question the validity of suchmodels while exploring alternative approaches. In this work, we investigate thebehavior of viscoplastic fluids, particularly Bingham fluids, from the perspectiveof de Broglie–Bohm quantum mechanics, incorporating the effects of a quantumpotential (quantum hydrodynamics). We assume that the physics behind theseunexplained experimental results might be associated to introducing an effectiveanti-dissipative term induced by the quantum potential. The study combinesa theoretical approach with its numerical solutions, and comparative analysis,employing the Navier–Stokes equations and the Bingham model. Our results indi-cate that the inclusion of the quantum potential is directly associated with theincreased flow velocity, reinforcing that quantum effects may play a significantrole in the dynamics of fluids confined within nanotubes. Moreover, well-behavedsolutions for the system’s wavefunction were identified even after the inclusionthe of effective anti-dissipative term. This evidence provides a possible theoret-ical explanation for the superflux phenomenon, reinforcing the hypothesis thatquantum effects may underlie the discrepancies relative to classical hydrodynamic predictions. de Broglie–Bohm theory Bingham fluid nanotubes nanofluidics 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-8222487","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":558477839,"identity":"df78968e-6bc8-4f07-9713-cd9155d2959e","order_by":0,"name":"Rafaela Alvarenga","email":"","orcid":"","institution":"Universidade Federal de Ouro Preto","correspondingAuthor":false,"prefix":"","firstName":"Rafaela","middleName":"","lastName":"Alvarenga","suffix":""},{"id":558477844,"identity":"4b7133f4-aa92-4043-8a50-1ae3093de7af","order_by":1,"name":"Felipe Escórcio","email":"","orcid":"","institution":"Universidade Federal de Ouro Preto","correspondingAuthor":false,"prefix":"","firstName":"Felipe","middleName":"","lastName":"Escórcio","suffix":""},{"id":558477848,"identity":"cee6aa39-8edf-4417-a017-1720502caf0b","order_by":2,"name":"Alan Barros de Oliveira","email":"","orcid":"","institution":"Universidade Federal de Ouro Preto","correspondingAuthor":false,"prefix":"","firstName":"Alan","middleName":"Barros","lastName":"de Oliveira","suffix":""},{"id":558477852,"identity":"dfbac94d-7cf4-4faa-939d-501422f48957","order_by":3,"name":"Hermano Velten","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABCklEQVRIiWNgGAWjYBACAwSTuQFI2DCwgygGNhQpXFoYG4GK0xh4DpCo5TBhLebsvU83/Nxhw2BwvLH9wccd5xN72HsPMHwoO8xgLn0AqxbLnuNmN3vPpDEYnDnY2DjzzO3EHp5zCYwzzh1msOxLwO6wG2lsN3jbDjNIzkhsbOZtu524XyLHgBkkYnAGh1/uP2O7+RekZf7Dxua/becSe0Ba/uLTcoON7TbITH4JxsZmxrYDEC2M+LScSWO7LduWxsPPk9g4s7ct2Rjkl4M959J5LHtwaDl+jO3m2zYbOTb2wwc+/GyzkwWG2MEHP8qs5cx5sGuBAR4U9gE0EYKAJMWjYBSMglEwAgAAhb5jPOWhg7YAAAAASUVORK5CYII=","orcid":"","institution":"Universidade Federal de Ouro Preto","correspondingAuthor":true,"prefix":"","firstName":"Hermano","middleName":"","lastName":"Velten","suffix":""}],"badges":[],"createdAt":"2025-11-27 13:23:23","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8222487/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8222487/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":98274121,"identity":"4e0fd2ec-2656-4f93-9b21-4f572fb02656","added_by":"auto","created_at":"2025-12-16 03:02:18","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1565363,"visible":true,"origin":"","legend":"","description":"","filename":"QuantumhydrodynamicsoftheBingnhamfluid2.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8222487/v1/7542601b2500878b122d6c77.pdf"},{"id":98274120,"identity":"ce117d2f-ca8e-419d-934a-1677efc49542","added_by":"auto","created_at":"2025-12-16 03:02:18","extension":"json","order_by":1,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":5752,"visible":true,"origin":"","legend":"","description":"","filename":"4fa9164f1e284adca2c17907bd9d6260.json","url":"https://assets-eu.researchsquare.com/files/rs-8222487/v1/09239d70b42d781f596e8db6.json"},{"id":99145482,"identity":"43d652ba-8fb5-4fc4-b5e4-4a045caaccc1","added_by":"auto","created_at":"2025-12-29 08:54:49","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1978948,"visible":true,"origin":"","legend":"","description":"","filename":"QuantumhydrodynamicsoftheBingnhamfluid2.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8222487/v1_covered_70ec68e3-02e9-4b78-b645-45fc9f2b0ba5.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Quantum hydrodynamics of the Bingham fluid and the CNT enhanced fluid flow","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":"de Broglie–Bohm theory, Bingham fluid, nanotubes, nanofluidics","lastPublishedDoi":"10.21203/rs.3.rs-8222487/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8222487/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe superflow of water at nanoscale remains an open problem. Classical hydro-dynamics predicts flow rates that are 2 to 5 orders of magnitude lower than thoseobserved experimentally. Therefore, it is natural to question the validity of suchmodels while exploring alternative approaches. In this work, we investigate thebehavior of viscoplastic fluids, particularly Bingham fluids, from the perspectiveof de Broglie–Bohm quantum mechanics, incorporating the effects of a quantumpotential (quantum hydrodynamics). We assume that the physics behind theseunexplained experimental results might be associated to introducing an effectiveanti-dissipative term induced by the quantum potential. The study combinesa theoretical approach with its numerical solutions, and comparative analysis,employing the Navier–Stokes equations and the Bingham model. Our results indi-cate that the inclusion of the quantum potential is directly associated with theincreased flow velocity, reinforcing that quantum effects may play a significantrole in the dynamics of fluids confined within nanotubes. Moreover, well-behavedsolutions for the system’s wavefunction were identified even after the inclusionthe of effective anti-dissipative term. This evidence provides a possible theoret-ical explanation for the superflux phenomenon, reinforcing the hypothesis thatquantum effects may underlie the discrepancies relative to classical hydrodynamic predictions.\u003c/p\u003e","manuscriptTitle":"Quantum hydrodynamics of the Bingham fluid and the CNT enhanced fluid flow","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-12-16 03:02:11","doi":"10.21203/rs.3.rs-8222487/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":"d10b6bf1-c83a-4ed9-bacb-1850c4cc5128","owner":[],"postedDate":"December 16th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2025-12-29T08:53:29+00:00","versionOfRecord":[],"versionCreatedAt":"2025-12-16 03:02:11","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-8222487","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8222487","identity":"rs-8222487","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}