Insoluble surfactant spreading over a deep layer of a Power-law fluid

Insoluble surfactant spreading over a deep layer of a Power-law fluid | 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 Insoluble surfactant spreading over a deep layer of a Power-law fluid Ruben Baños, José Arcos, Oscar Bautista, Federico Méndez This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3207384/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 In this work, a numerical study is conducted to analyze the spreading dynamics of an insoluble and non-diffusive surfactant through the Marangoni convection mechanism on the surface of a deep layer of a shear thickening fluid, whose behavior follows the power-law fluid rheological model. The momentum and convective-diffusion equations are non-dimensionalized and solved numerically by an implicit finite-difference scheme. The dynamic of the physical problem depends on dimensionless parameters that control the decay of the temporal variations in the surfactant concentration: the Reynolds number $Re$, the power index $n$, and $\varepsilon$, the latter denoting the influence of the inertia of the fluid. The main findings show that opposite to shear-thinning fluids, shear-thickening fluids require less time to reach the uniform condition in the surfactant distribution due to a lower response to the inertia of the fluid; this time is even less than that needed for Newtonian fluids. Besides, both types, pseudoplastic and dilatant fluids, showed a similar response when varying the Reynolds number; as this parameter increases, the temporal decay of the surfactant concentration on the fluid surface increases while the distance over which the fluid motion is diffused towards the bottom of the fluid layer decreases. Power-law fluid Marangoni flow Surfactant spreading 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. 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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-3207384","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":222044094,"identity":"9b215bdf-912b-4192-bb43-4da82d3f12f6","order_by":0,"name":"Ruben Baños","email":"","orcid":"","institution":"Instituto Politécnico Nacional","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Ruben","middleName":"","lastName":"Baños","suffix":""},{"id":222044095,"identity":"7b3a4f27-ff02-406d-92f3-e5984cab727a","order_by":1,"name":"José Arcos","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAoElEQVRIiWNgGAWjYBACxgYwZcNDspY0ErRAwWES1DK3n3344cOf8zLm0g2sm4myi7En3VhyZtttHss5B9huziBKS0MaGzNvw20egxsJbDc+EKWl/xkbM8+fcxAtCURpmQG0hYftACm2zHjGDPRLMo/ljMQ24vxi2J/GCAwxO3tzieRjt4kKMcMGKMMAFqsEgTyMYUCc+lEwCkbBKBiJAACCITAG4Vl12gAAAABJRU5ErkJggg==","orcid":"","institution":"Instituto Politécnico Nacional","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"José","middleName":"","lastName":"Arcos","suffix":""},{"id":222044096,"identity":"e80325c4-152a-4a3e-b183-ec667fbf5240","order_by":2,"name":"Oscar Bautista","email":"","orcid":"","institution":"Instituto Politécnico Nacional","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Oscar","middleName":"","lastName":"Bautista","suffix":""},{"id":222044097,"identity":"80c042ee-26e6-4927-a38a-bb33d22112f5","order_by":3,"name":"Federico Méndez","email":"","orcid":"","institution":"National Autonomous University of Mexico","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Federico","middleName":"","lastName":"Méndez","suffix":""}],"badges":[],"createdAt":"2023-07-26 18:29:07","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3207384/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3207384/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":48802267,"identity":"75fcbfef-e37b-4a34-9feb-826473fbb1fe","added_by":"auto","created_at":"2023-12-26 11:53:39","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":41547299,"visible":true,"origin":"","legend":"","description":"","filename":"MANUSCRIPT.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3207384/v1_covered_7f446906-fe87-49f5-b726-6ddc14d2a1b1.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Insoluble surfactant spreading over a deep layer of a Power-law fluid","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":"Power-law fluid, Marangoni flow, Surfactant spreading","lastPublishedDoi":"10.21203/rs.3.rs-3207384/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3207384/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In this work, a numerical study is conducted to analyze the spreading dynamics of an insoluble and non-diffusive surfactant through the Marangoni convection mechanism on the surface of a deep layer of a shear thickening fluid, whose behavior follows the power-law fluid rheological model. 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