Droplet detachment force and its relation to Young-Dupre adhesion

Droplet detachment force and its relation to Young-Dupre adhesion | 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 Droplet detachment force and its relation to Young-Dupre adhesion Dan Daniel, Xue Qi Koh This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3277260/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 Droplets adhere to surfaces due to their surface tension γ and understanding the vertical force F d required to detach the droplet is key to many technologies (e.g., inkjet printing, optimal paint formulations). Here, we predicted F d on different surfaces by numerically solving the Young-Laplace equation. Our numerical results are consistent with previously reported results for a wide range of experimental conditions: droplets subjected to surface vs. body forces with | F d | ranging from nano- to milli-newtons, droplet radii R ranging from tens of microns to several millimetres, and for various surfaces (micro-/nano-structured superhydrophobic vs. lubricated surfaces). Finally, we derive an analytic solution for F d on highly hydrophobic surfaces and further show that for receding contact angle θ r > 120◦, the normalized F d /π R is equivalent to the Young-Dupre work of adhesion γ(1 + cos θ r ). Droplet adhesion Young-Dupre Full Text Additional Declarations Competing interests: The authors declare no competing interests. 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-3277260","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":227492488,"identity":"f301c3cd-7d46-4750-8006-567cde447217","order_by":0,"name":"Dan Daniel","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6ElEQVRIie3OsQrCMBCA4ZMOLkXXiFhf4SRQBMVnUQp2ScVJOrq5iHOL4DMIvkBKBpdK164iOHUIuHQQNIKTSKibQ36S4SAfOQCT6R/jrzO3HPKea8tqBC1K3kM1AopMosqkcTwlXOLAj1cpvUkYdva8fpY60kpn4yRCP9jazCUcpnTPbUp0BDlDYaMIdsBctZiYKAJ6khUo7ih8p1lQyeGhSP1SakmufgEU4zZhqBbjioCr/aWVF5is0e/F0XVBUvRoLGy3ryONjFFZhoMuybyDDMNRZ3NcXXId+dxTXeuH9yaTyWT63hMVolIs+r5F6wAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0002-5859-170X","institution":"KAUST","correspondingAuthor":true,"prefix":"","firstName":"Dan","middleName":"","lastName":"Daniel","suffix":""},{"id":227492489,"identity":"0cc35876-1613-44a0-82ca-ee93e97b9c23","order_by":1,"name":"Xue Qi Koh","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Xue","middleName":"Qi","lastName":"Koh","suffix":""}],"badges":[],"createdAt":"2023-08-19 08:22:12","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3277260/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3277260/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":42035629,"identity":"82ea36b6-13cc-46b8-af43-8b363d3074f1","added_by":"auto","created_at":"2023-08-23 18:49:06","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1182957,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3277260/v1_covered_a776576c-3010-40d4-8702-a9b7acc05b4f.pdf"}],"financialInterests":"\u003cp\u003eCompeting interests: The authors declare no competing interests.\u003c/p\u003e","formattedTitle":"\u003cp\u003eDroplet detachment force and its relation to Young-Dupre adhesion\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"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":"Droplet adhesion, Young-Dupre","lastPublishedDoi":"10.21203/rs.3.rs-3277260/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3277260/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eDroplets adhere to surfaces due to their surface tension γ and understanding the vertical\u003c/p\u003e\n\u003cp\u003eforce \u003cem\u003eF\u003c/em\u003e\u003csub\u003ed\u003c/sub\u003e required to detach the droplet is key to many technologies (e.g., inkjet printing, optimal\u003c/p\u003e\n\u003cp\u003epaint formulations). 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Finally, we derive an analytic solution for \u003cem\u003eF\u003c/em\u003e\u003csub\u003ed\u003c/sub\u003e on highly hydrophobic surfaces and further show that for receding contact angle \u003cem\u003eθ\u003c/em\u003e\u003csub\u003er\u003c/sub\u003e \u0026gt; 120◦, the normalized \u003cem\u003eF\u003c/em\u003e\u003csub\u003ed\u003c/sub\u003e/π\u003cem\u003eR\u003c/em\u003e is equivalent to the Young-Dupre work of adhesion γ(1 + cos \u003cem\u003eθ\u003c/em\u003e\u003csub\u003er\u003c/sub\u003e).\u003c/p\u003e","manuscriptTitle":"Droplet detachment force and its relation to Young-Dupre adhesion","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2023-08-23 18:40:55","doi":"10.21203/rs.3.rs-3277260/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":"8f0e6d23-d1b2-4cf9-a77a-d9c4b3ba52df","owner":[],"postedDate":"August 23rd, 2023","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2023-08-23T18:40:55+00:00","versionOfRecord":[],"versionCreatedAt":"2023-08-23 18:40:55","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-3277260","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-3277260","identity":"rs-3277260","version":["v1"]},"buildId":"_2-kVJe1T_tPrBINL-cwx","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}