Impact of Power Law Coefficient on Buoyant Heat Transfer in Porous Trapezoidal Enclosures

Impact of Power Law Coefficient on Buoyant Heat Transfer in Porous Trapezoidal Enclosures | 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 Impact of Power Law Coefficient on Buoyant Heat Transfer in Porous Trapezoidal Enclosures VIJAYA KUMARA V M, ASWATHA M, Vasanth Kumar.R, Hemanth Kumar C.B, and 3 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5743217/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 The impact of the power-law coefficient on buoyant energy transfer in porous trapezoidal cavities is investigated in this study. The analysis focuses on non-Newtonian fluids, where the flow behaviour deviates from the classical Newtonian model and the power-law coefficient plays a important role in defining the fluid’s rheological properties. Partial differential equations are formulated using the stream function approach and solved with an in-house MATLAB code and validated against previously published work .The cavity geometry combined with a porous medium, introduces complex thermal and flow interactions. The study examines how varying the power-law coefficient influences heat transfer rates, velocity profiles and temperature distribution within the cavity. Numerical simulations are conducted under different Rayleigh numbers (Ra = 100 to 2000) and boundary conditions demonstrating that the power-law coefficient significantly affects the thermal performance of the system. Results indicate that higher power-law coefficients enhance convective heat transfer, while lower coefficients lead to more diffusive heat transport. This research provides valuable insights into optimizing energy transfer in industrial applications involving Newtonian and non-Newtonian fluids in porous media. Numerical Analysis Buoyant heat transfer Laminar flow Porous media Saturated water and Trapezoidal enclosure Full Text Additional Declarations The authors declare no competing interests. Supplementary Files suplimenteryfile.docx suplimentery file 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. 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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-5743217","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":396255871,"identity":"a437d159-c3e9-434b-aea4-104afe8130b7","order_by":0,"name":"VIJAYA KUMARA V 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The analysis focuses on non-Newtonian fluids, where the flow behaviour deviates from the classical Newtonian model and the power-law coefficient plays a important role in defining the fluid\u0026rsquo;s rheological properties. Partial differential equations are formulated using the stream function approach and solved with an in-house MATLAB code and validated against previously published work .The cavity geometry combined with a porous medium, introduces complex thermal and flow interactions. The study examines how varying the power-law coefficient influences heat transfer rates, velocity profiles and temperature distribution within the cavity. Numerical simulations are conducted under different Rayleigh numbers (Ra\u0026thinsp;=\u0026thinsp;100 to 2000) and boundary conditions demonstrating that the power-law coefficient significantly affects the thermal performance of the system. Results indicate that higher power-law coefficients enhance convective heat transfer, while lower coefficients lead to more diffusive heat transport. 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