A Multi-Physics Approach to Simulating the Dynamic Behavior of Filament Bundle

A Multi-Physics Approach to Simulating the Dynamic Behavior of Filament Bundle | 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 A Multi-Physics Approach to Simulating the Dynamic Behavior of Filament Bundle Xiang Xiao¹, Yi Liu¹, Hexuan Chen, Pei Feng¹, Shujia Li¹, Ge Chen¹, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9287905/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 A key characteristic of wet spinning process is the complex coupling of thermo-elastic effects, fluid–structure interaction (FSI), and dynamic interplay, thereby achieving the stretching and cooling of filament bundle in the coagulation bath. These coupled mechanisms fundamentally govern filament solidification behavior and the resulting material properties. This study proposes a thermo–fluid–structure multi-physics coupling framework based on the Absolute Nodal Coordinate Formulation (ANCF). Through systematic physical and mathematical characterization of the wet spinning process, an ANCF beam-element geometric model of the filament bundle is constructed, which explicitly incorporates the nonlinear and time-dependent evolution of elastic modulus during solidification. A displacement–temperature coupling formulation is established to derive the fully coupled governing equations of the multi-physics system. The incompressible Navier–Stokes equations are solved via the Weak Galerkin (WG) finite element method to obtain the three-dimensional velocity field in the coagulation bath. Key physical effects, including heat conduction inside the filament bundle, interfacial heat exchange, rheological resistance, temperature-dependent modulus evolution, and strain-rate strengthening effects are integrated into the formulation. Furthermore, a dimensional-reduction strategy–combining Taylor series expansion, piecewise linearization, and free-surface modal synthesis is introduced to derive the coupled dynamic equations of the multi-body system. The proposed framework captures the coupled mechanisms of thermo-flexural interaction, fluid–structure coupling, and dynamic modulus evolution, enabling high-fidelity numerical simulation of the extrusion–cooling–solidification sequence of the filament bundle. Wet spinning Multi-Physics coupling Dynamic elastic modulus Absolute node coordinate formulation Navier-Stokes equations Weak Galerkin method 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-9287905","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":626638775,"identity":"8c7cd9db-c36c-4cb0-893b-883981c8525c","order_by":0,"name":"Xiang Xiao¹","email":"","orcid":"","institution":"Donghua University","correspondingAuthor":false,"prefix":"","firstName":"Xiang","middleName":"","lastName":"Xiao¹","suffix":""},{"id":626638776,"identity":"d5c29f9c-c4a3-4b91-997b-45db0edb8844","order_by":1,"name":"Yi Liu¹","email":"","orcid":"","institution":"Donghua 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Navier-Stokes equations, Weak Galerkin method","lastPublishedDoi":"10.21203/rs.3.rs-9287905/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9287905/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eA key characteristic of wet spinning process is the complex coupling of thermo-elastic effects, fluid\u0026ndash;structure interaction (FSI), and dynamic interplay, thereby achieving the stretching and cooling of filament bundle in the coagulation bath. These coupled mechanisms fundamentally govern filament solidification behavior and the resulting material properties. This study proposes a thermo\u0026ndash;fluid\u0026ndash;structure multi-physics coupling framework based on the Absolute Nodal Coordinate Formulation (ANCF). Through systematic physical and mathematical characterization of the wet spinning process, an ANCF beam-element geometric model of the filament bundle is constructed, which explicitly incorporates the nonlinear and time-dependent evolution of elastic modulus during solidification. A displacement\u0026ndash;temperature coupling formulation is established to derive the fully coupled governing equations of the multi-physics system. The incompressible Navier\u0026ndash;Stokes equations are solved via the Weak Galerkin (WG) finite element method to obtain the three-dimensional velocity field in the coagulation bath. Key physical effects, including heat conduction inside the filament bundle, interfacial heat exchange, rheological resistance, temperature-dependent modulus evolution, and strain-rate strengthening effects are integrated into the formulation. Furthermore, a dimensional-reduction strategy\u0026ndash;combining Taylor series expansion, piecewise linearization, and free-surface modal synthesis is introduced to derive the coupled dynamic equations of the multi-body system. 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