Experiments on Phase Transition of Faraday Waves with Xantham Gum Solutions

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This study experimentally and theoretically investigated Faraday wave transitions in Xantham Gum solutions and Newtonian fluids, finding distinct power-law relationships for onset and instability driven by fluid properties.

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Abstract

Through experimentation and neural network analysis, we investigate the behavior of Faraday waves in Xantham Gum Solutions (shear-thinning non-Newtonian fluid), and Newtonian fluids for comparison, which exhibit two abrupt transitions in spatiotemporal order: onset and instability. These two transitions are characterized by power-law relationships involving driving amplitudes and frequencies, and we prove that the different power-law exponents for onset result from the contrasting contributions of surface tension and viscosity in the surface wave dispersion relation. Furthermore, we propose a phenomenological theoretical model that combines the Navier–Stokes equations with soliton theory to explain the distinct behaviors of power-law exponents for instability in both Newtonian fluids and Xantham Gum Solutions.
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Experiments on Phase Transition of Faraday Waves with Xantham Gum Solutions | 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 Experiments on Phase Transition of Faraday Waves with Xantham Gum Solutions Peizhao Li, Tiancheng Yu, Xuechang Tu, Han Yan, Wei Wang, Luqun Zhou This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3271680/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 Through experimentation and neural network analysis, we investigate the behavior of Faraday waves in Xantham Gum Solutions (shear-thinning non-Newtonian fluid), and Newtonian fluids for comparison, which exhibit two abrupt transitions in spatiotemporal order: onset and instability. These two transitions are characterized by power-law relationships involving driving amplitudes and frequencies, and we prove that the different power-law exponents for onset result from the contrasting contributions of surface tension and viscosity in the surface wave dispersion relation. Furthermore, we propose a phenomenological theoretical model that combines the Navier–Stokes equations with soliton theory to explain the distinct behaviors of power-law exponents for instability in both Newtonian fluids and Xantham Gum Solutions. Faraday waves Phase transition Xantham gum solution non-Newtonian fluids 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-3271680","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":228112379,"identity":"3999ae25-8ef6-4cef-ba71-991bf03f7809","order_by":0,"name":"Peizhao 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