Free Motion of a Slender Particle in Lubricating Channel Flow

Free Motion of a Slender Particle in Lubricating Channel Flow | 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 Free Motion of a Slender Particle in Lubricating Channel Flow Qingsong Liu, Jacob M. Jepson, Frank T. Smith This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6254085/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 Lubricating fluid motion is analysed in the context of Stokes flow through a channel containing a freely moving, relatively dense particle. The typical particle thickness is a finite fraction of the channel width, whereas the longitudinal length scale is larger, with the particle having otherwise arbitrary shape. The fluid dynamics in the gaps are coupled with the particle motion. Analysis and numerical results show that direct ’impact’ of the particle can occur with a channel wall within a finite time; however, strictly this represents the onset of impact, yielding new local physics. Dependent on the values of various model parameters, such as the particle’s initial lateral and rotational position, these impacts take place at the leading or trailing edge of a flat-plate particle, or mid-body for a smooth particle. Other parameter regimes indicate long-lasting particle oscillations, rather than a direct impact with a channel wall. For a flat-plate particle, analysis indicates that the critical centre of mass position is the midpoint, (subcritical positions yield oscillations), rather than the 1/6-or 1/3-chord position of high-Reynolds number flows. For a smooth bodied particle, the critical centre of mass position is dependent on the geometry of the particle body. 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-6254085","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":434258604,"identity":"ebe064b2-b8f7-4e7d-8bfe-462a45c18afc","order_by":0,"name":"Qingsong Liu","email":"","orcid":"","institution":"University College London","correspondingAuthor":false,"prefix":"","firstName":"Qingsong","middleName":"","lastName":"Liu","suffix":""},{"id":434258606,"identity":"ee193828-a5c3-456d-8f9b-2762d015c3bf","order_by":1,"name":"Jacob M. 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