Thermorheological Exploration of Melting Heat Transfer Phenomena of Radiated Casson-Carreau Hybrid Fluid via Stretchable Plate with Inclined Magnetized Field

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Abstract The current investigation examines the thermorheological behavior of a hybrid Casson-Carreau fluid via an extendable plate with the effect of an inclined magnetized force and thermal radiative flux. The impacts of melted heat transfer, nonlinear porous medium resistance, and combined diffusion (Soret and Dufour effects), including the varying thermal conductivity, are considered. The governing equations are converted into a model of non-linear ordinary differential equations utilizing the similarity conversions and resolved computationally by applying the 5th-order Runge-Kutta methodology combined with the shooting procedure. The outcomes reveal that the fluid velocity declines with enhancing the Casson parameter, magnetized force strength, and porosity parameter, while it is improved with Forchheimer and Weissenberg numbers. The temperature is improved by boosting Eckert and Dufour numbers, during which the concentration profile is enhanced with a magnetic field and a melting parameter. The skin friction coefficient grows with melting and Forchheimer parameters, while the viscous dissipation effect enhances heat and mass transfers. The present study provides future insights into the behavior of non-Newtonian fluids in heat and mass transfer applications such as polymer processing, energy systems, and biomedical engineering.
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Thermorheological Exploration of Melting Heat Transfer Phenomena of Radiated Casson-Carreau Hybrid Fluid via Stretchable Plate with Inclined Magnetized Field | 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 Thermorheological Exploration of Melting Heat Transfer Phenomena of Radiated Casson-Carreau Hybrid Fluid via Stretchable Plate with Inclined Magnetized Field Essam M. Elsaid, Mohamed R. Eid, M. H. Emara, S. Mosa, Mohamed S. Abdel-wahed This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6526351/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 07 Jun, 2025 Read the published version in Multiscale and Multidisciplinary Modeling, Experiments and Design → Version 1 posted 14 You are reading this latest preprint version Abstract The current investigation examines the thermorheological behavior of a hybrid Casson-Carreau fluid via an extendable plate with the effect of an inclined magnetized force and thermal radiative flux. The impacts of melted heat transfer, nonlinear porous medium resistance, and combined diffusion (Soret and Dufour effects), including the varying thermal conductivity, are considered. The governing equations are converted into a model of non-linear ordinary differential equations utilizing the similarity conversions and resolved computationally by applying the 5th-order Runge-Kutta methodology combined with the shooting procedure. The outcomes reveal that the fluid velocity declines with enhancing the Casson parameter, magnetized force strength, and porosity parameter, while it is improved with Forchheimer and Weissenberg numbers. The temperature is improved by boosting Eckert and Dufour numbers, during which the concentration profile is enhanced with a magnetic field and a melting parameter. The skin friction coefficient grows with melting and Forchheimer parameters, while the viscous dissipation effect enhances heat and mass transfers. The present study provides future insights into the behavior of non-Newtonian fluids in heat and mass transfer applications such as polymer processing, energy systems, and biomedical engineering. Casson-Carreau fluid Darcy-Forchheimer porous material melting heat oblique magnetic field viscous dissipation Dufour-Soret effects Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 07 Jun, 2025 Read the published version in Multiscale and Multidisciplinary Modeling, Experiments and Design → Version 1 posted Editorial decision: Revision requested 09 May, 2025 Reviews received at journal 09 May, 2025 Reviews received at journal 04 May, 2025 Reviewers agreed at journal 04 May, 2025 Reviewers agreed at journal 03 May, 2025 Reviews received at journal 01 May, 2025 Reviewers agreed at journal 30 Apr, 2025 Reviewers agreed at journal 30 Apr, 2025 Reviewers agreed at journal 30 Apr, 2025 Reviewers agreed at journal 30 Apr, 2025 Reviewers invited by journal 30 Apr, 2025 Editor assigned by journal 30 Apr, 2025 Submission checks completed at journal 30 Apr, 2025 First submitted to journal 25 Apr, 2025 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-6526351","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":451635028,"identity":"4d174728-f554-42e4-b466-6d73d7052b1f","order_by":0,"name":"Essam M. 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