Multi-objective optimization of  the magnetic wiping process in dip-coating

Multi-objective optimization of the magnetic wiping process in dip-coating | 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 Multi-objective optimization of the magnetic wiping process in dip-coating Fabio Pino, Benoit Scheid, Miguel Alfonso Mendez This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4607584/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 10 Feb, 2025 Read the published version in Journal of Engineering Mathematics → Version 1 posted 10 You are reading this latest preprint version Abstract Electromagnetic wiping systems allow to pre-meter the coating thickness of the liquid metal on a moving substrate. These systems have the potential to provide more uniform coating and significantly higher production rates compared to pneumatic wiping, but they require substantially larger amounts of energy. This work presents a multi-objective optimization accounting for (1) maximal wiping efficiency (2) maximal smoothness of the wiping meniscus, and (3) minimal Joule heating. We present the Pareto front, identifying the best wiping conditions given a set of weights for the three competing objectives. The optimization was based on a 1D steady-state integral model, whose prediction scales according to the Hartmann number (Ha). The optimization uses a multi-gradient approach, with gradients computed with a combination of finite differences and variational methods.The results show that the wiping efficiency depends solely on Ha and not the magnetic field distribution. Moreover, we show that the liquid thickness becomes insensitive to the intensity of the magnetic field above a certain threshold and that the current distribution (hence the Joule heating) is mildly affected by the magnetic field's intensity and shape. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 10 Feb, 2025 Read the published version in Journal of Engineering Mathematics → Version 1 posted Editorial decision: Revision requested 20 Aug, 2024 Reviews received at journal 19 Aug, 2024 Reviews received at journal 14 Aug, 2024 Reviewers agreed at journal 18 Jul, 2024 Reviewers agreed at journal 17 Jul, 2024 Reviewers agreed at journal 16 Jul, 2024 Reviewers invited by journal 16 Jul, 2024 Editor assigned by journal 20 Jun, 2024 Submission checks completed at journal 20 Jun, 2024 First submitted to journal 19 Jun, 2024 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. 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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-4607584","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":324826808,"identity":"944f7600-b456-4729-9bea-2d7b8bf9f062","order_by":0,"name":"Fabio Pino","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA5UlEQVRIie2PIQvCQBTH3xBcec46QfArvBVFUPZVJqtTjMaBwTKx3scQBPMdAy2uGwwTwSSyJAaDN2XGm1HwfuX+4f3u/x6ARvODmCECly8CVLgREryzCuQfpep9rxSRjBC+UcxE8AwOzY4Z3RpsDK16WBOpUsGRJxicsRsl68aSwGHc8kmluBBQjBAj7YcrJyUwloBtW9lSvxRKcMoVVyqdu1KxPy2BcZSLDfIWlSGVq7yFzki7jXNkZPsstvySxYZxlk0OLm2nqYgevf5iNheZsuYF8SLJ/yvl8zm8dEKj0Wj+mCfQsUi2kR97nwAAAABJRU5ErkJggg==","orcid":"","institution":"Von Karman Institute for Fluid Dynamics","correspondingAuthor":true,"prefix":"","firstName":"Fabio","middleName":"","lastName":"Pino","suffix":""},{"id":324826813,"identity":"d4e320e3-a96e-4c0e-9a92-453f9f61de5d","order_by":1,"name":"Benoit Scheid","email":"","orcid":"","institution":"Université Libre de Bruxelles","correspondingAuthor":false,"prefix":"","firstName":"Benoit","middleName":"","lastName":"Scheid","suffix":""},{"id":324826816,"identity":"c84e8321-b465-43d2-b788-48acf89115f3","order_by":2,"name":"Miguel Alfonso Mendez","email":"","orcid":"","institution":"Von Karman Institute for Fluid Dynamics","correspondingAuthor":false,"prefix":"","firstName":"Miguel","middleName":"Alfonso","lastName":"Mendez","suffix":""}],"badges":[],"createdAt":"2024-06-19 18:25:06","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4607584/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4607584/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s10665-025-10426-x","type":"published","date":"2025-02-10T15:58:08+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":76487876,"identity":"81ffaf3e-3af7-44a7-84d8-b30aeeabf30b","added_by":"auto","created_at":"2025-02-17 16:12:52","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":5435475,"visible":true,"origin":"","legend":"","description":"","filename":"PinoetalJournalofEngineeringMathematics.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4607584/v1_covered_893a5518-381d-4dec-ae0d-3d04d61f3454.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Multi-objective optimization of the magnetic wiping process in dip-coating","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"journal-of-engineering-mathematics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"engi","sideBox":"Learn more about [Journal of Engineering Mathematics](http://link.springer.com/journal/10665)","snPcode":"10665","submissionUrl":"https://submission.nature.com/new-submission/10665/3","title":"Journal of Engineering Mathematics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-4607584/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4607584/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Electromagnetic wiping systems allow to pre-meter the coating thickness of the liquid metal on a moving substrate. 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