Effects of Viscous Dissipation and Joule Heating on Micropolar Hybrid Nanofluid in a Stretching/Shrinking Channel including Thermal/Solar Radiation

Effects of Viscous Dissipation and Joule Heating on Micropolar Hybrid Nanofluid in a Stretching/Shrinking Channel including Thermal/Solar Radiation | 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 Effects of Viscous Dissipation and Joule Heating on Micropolar Hybrid Nanofluid in a Stretching/Shrinking Channel including Thermal/Solar Radiation H.A El-dawy, Mohamed El-Amin This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-710400/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 This study aims to investigate the behavior of the micropolar hybrid nanofluid (Cu-TiO2) in a stretching and shrinking channel while maintaining a continuous laminar flow. External effects from magnetic field, thermal and solar radiation are also considered in the model. The governing differential (momentum, micro-rotation, and energy) equations are transformed into dimensionless forms via similarity transformations based on the boundary layer theory. The resulting ordinary differential equations are solved numerically using the fourth-order Runge-Kutta-Gill technique with the shooting method. The effects of nanoparticles transport on fluid flow and heat transfer are discussed and compared to the pure water case. The results are presented in tables or graphs such as velocity, temperature, angular-velocity profiles, and concentration. Mechanical Engineering Scientific Communication hybrid nanofluid micropolar heat transfer radiation Joule Heating 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-710400","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":39071516,"identity":"8f51d090-4764-483d-a93c-32a608f57719","order_by":0,"name":"H.A El-dawy","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAz0lEQVRIiWNgGAWjYBACAzD5Q4KHjb2BgZl4LYw9NnL8PAdI0cLAlmYsOSOBSC3m7AeYP/zgOZy44eYbw88FFTYM/O3dCXi1WPYksEn2WAC13M4xlp5xJo1B4szZDfgddiCBjYGHB6zFQJq37TCDgUQuAS3nHzB//MMGctgZ49/EabmRwCDNA/Y+jxmRttx4wCYtCw7ktDJrnjNpPIT9cj6B+eMbcFQe3nybpwKot70XvxYGBv4PUAYHOI54CChHAewPSFE9CkbBKBgFIwgAAKiVReK0XlozAAAAAElFTkSuQmCC","orcid":"","institution":"High Institute of Engineering and Technology Tod, Luxor, Egypt","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"H.A","middleName":"","lastName":"El-dawy","suffix":""},{"id":39071518,"identity":"efe70623-2af1-45a2-bdad-c07486fd5c4c","order_by":1,"name":"Mohamed El-Amin","email":"","orcid":"","institution":"College of Engineering, Effat University, Jeddah, KSA","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Mohamed","middleName":"","lastName":"El-Amin","suffix":""}],"badges":[],"createdAt":"2021-07-12 11:14:06","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-710400/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-710400/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":13659067,"identity":"1f93300d-885a-4d10-a25e-4381c66ae713","added_by":"auto","created_at":"2021-09-17 10:17:58","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":395202,"visible":true,"origin":"","legend":"","description":"","filename":"hybrid12edited106262.pdf","url":"https://assets-eu.researchsquare.com/files/rs-710400/v1_covered.pdf"},{"id":11494797,"identity":"517efdaa-c820-44a5-8a8a-5e7fab7e537e","added_by":"auto","created_at":"2021-07-15 15:15:28","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":391478,"visible":true,"origin":"","legend":"","description":"","filename":"hybrid12edited106262.pdf","url":"https://assets-eu.researchsquare.com/files/rs-710400/v1_covered.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Effects of Viscous Dissipation and Joule Heating on Micropolar Hybrid Nanofluid in a Stretching/Shrinking Channel including Thermal/Solar Radiation","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-710400/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"hybrid nanofluid ,micropolar , heat transfer , radiation, Joule Heating","lastPublishedDoi":"10.21203/rs.3.rs-710400/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-710400/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This study aims to investigate the behavior of the micropolar hybrid nanofluid (Cu-TiO2) in a stretching and shrinking channel while maintaining a continuous laminar flow. 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