Boiling heat transfer by phase-field method

Boiling heat transfer by phase-field method | 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Cite Share Download PDF Research Article Boiling heat transfer by phase-field method Alessio This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5059088/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, we propose and test the validity of a phase-field method tailored specifically for modeling boiling phenomena. The method relies on numerical solutions of the Navier-Stokes equations coupled with a phase-field method and the energy equation. The continuity and Navier-Stokes equations have been modified introducing a source term that accounts for phase change. Likewise, in the con- servative Allen-Cahn equation (phase-field method) a source term that accounts for the volume is introduced. The system of governing equations is solved using a projection-correction method and equations are discretized using second-order finite difference approach. Thanks to the type of discretization employed, a con- stant coefficient Poisson equation for the pressure is obtained, which can be efficiently solved using FFT-based direct solvers. The proposed method is vali- dated against different benchmarks: an interface undergoing phase change at a constant rate, the Stefan problem, the adsorption problem and the growth of a 2D vapor bubble. For all the benchmarks, the present method well matches with analytical and archival literature results for a wide range of vapor-to-liquid den- sity ratios, from ρv /ρl = 1 down to ρv /ρl ≃ 5 × 10−4 (where ρv identifies the vapor density and ρl the liquid density). Plasma and Fluids phase-field heat transfer boiling Full Text Additional Declarations 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. 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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-5059088","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":351599963,"identity":"e7762b0c-6a22-43fd-83d5-a0b8a14c1e70","order_by":0,"name":"Alessio","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA30lEQVRIiWNgGAWjYDACdhBhAOfaMDAwMzBIIIlgAmZULWkwLXj0MKNyD4NJCQY81vA3Mx/++KPAhsG8vfnhh487ziduZ+cxvMFQ8AenFonDbGnSPAZpDDJnjhlLzjxzO3FnM4+xBV6HHeYxY2YwOMwgIZHDxszbdjtxA1AEr1/kD/N//vgDoeUcYS0Gh3kYJHgQWg4Q1mJ4mM0M5BceCR6QX9qSjTccZiu2SDAwxqlF7njz448//tjISbCDQqzNTnbD+cMbb3z4I4fb+1DAg8pNIKhhFIyCUTAKRgE+AAAwPkcRInnxEQAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0001-7618-7797","institution":"Roccon","correspondingAuthor":true,"prefix":"","firstName":"","middleName":"","lastName":"Alessio","suffix":""}],"badges":[],"createdAt":"2024-09-09 15:27:43","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false},"doi":"10.21203/rs.3.rs-5059088/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5059088/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":64202779,"identity":"1d52853b-7d81-400a-84b9-e52e37e04fec","added_by":"auto","created_at":"2024-09-10 03:15:19","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":821015,"visible":true,"origin":"","legend":"","description":"","filename":"ACMES2401099.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5059088/v1_covered_1b903676-fb95-4808-aa94-8055bc71629d.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eBoiling heat transfer by phase-field method\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"University of Udine","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":"phase-field, heat transfer, boiling","lastPublishedDoi":"10.21203/rs.3.rs-5059088/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5059088/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn this work, we propose and test the validity of a phase-field method tailored specifically for modeling boiling phenomena. 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