Heat Transfer Analysis of Micropolar fluid over a Vertical Cone with Non-Uniform Heat source and sink: Keller Box Method and Industrial Applications

Heat Transfer Analysis of Micropolar fluid over a Vertical Cone with Non-Uniform Heat source and sink: Keller Box Method and Industrial Applications | 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 Heat Transfer Analysis of Micropolar fluid over a Vertical Cone with Non-Uniform Heat source and sink: Keller Box Method and Industrial Applications Vinothkumar B, T Poornima This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4011004/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 A mathematical model is made to look at the heat moves through a micropolar viscoelastic fluid from a vertically isothermal cone to a steady-state free convection boundary layer flow that is laminar, nonlinear, and not isothermal. Using MATLAB programming, we transform the linear momentum, energy, angular momentum equations, and possible boundary conditions using the finite difference methodology (Keller Box method). Higher-order (fourth-order) partial differential equations (PDEs) can be solved using this method up to the Nth first-order partial differential equation (PDE). Evaluations are done on the following parameters: dimensionless stream-wise coordinate, ratio of relaxation to retardation times, Deborah number (De), Erigena vortex viscosity parameter (R), Prandtl number (Pr), non-uniform heat source and sink ( A, B ), radiation and surface temperature, and angular velocity in the boundary layer regime. The results of the calculations show that temperature (along with the thickness of the thermal boundary layer) drops and linear and angular velocity rise with an increasing ratio of retardation to relaxation periods. Elevating the Deborah number results in increased temperatures and micro-rotation magnitudes, but it also lowers the Nusselt number and linear flow. Viscoelastic micropolar fluid flow finds applications in various areas of fluid dynamics where the behaviour of complex fluids with both viscous and elastic properties, along with micro-rotation effects, plays a significant role. Some applications include polymer processing, biomedical engineering, rheology, environmental fluid dynamics, and complex fluid flows. The skin friction coefficient and the Nusselt number are shown with graphs, streamlines, and tables for changed values of the flow constraints. Jeffrey viscoelastic model heat transfer non-uniform heat source and sink boundary layers Keller-box method Deborah number 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-4011004","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":276227806,"identity":"17a08be3-f2a0-4fb4-a272-385b241f66b4","order_by":0,"name":"Vinothkumar B","email":"","orcid":"","institution":"Vellore Institute of Technology University","correspondingAuthor":false,"prefix":"","firstName":"Vinothkumar","middleName":"","lastName":"B","suffix":""},{"id":276227807,"identity":"1fb202dd-1228-4de8-a586-2921c5504ca2","order_by":1,"name":"T Poornima","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAz0lEQVRIiWNgGAWjYNACAxDBfIAhAcxjbCBSCxtbAkNCAtFaQICNB6gxgQiF5uzNxz4XFGyTZ5Dv+Sbx8AeDPH8Dc9sDfFose44lz55hcNuwgY13mwTQYYYzDjC2G+DTYnAjx5iZx+A2I1DLZgOgFsYNDIxtEsRosW9g43kM0mJPtJZEoBbGB0AtiQS1gPwC0pLcxpZm+CAhTSJ5xmECWoAhdpiZ589t237mww8O/rCxse1vb3+G32EwBhuEAipmxqceWcsoGAWjYBSMApwAAMVBPzp6rMZGAAAAAElFTkSuQmCC","orcid":"","institution":"Vellore Institute of Technology University","correspondingAuthor":true,"prefix":"","firstName":"T","middleName":"","lastName":"Poornima","suffix":""}],"badges":[],"createdAt":"2024-03-04 07:51:28","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4011004/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4011004/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":52360065,"identity":"61f4f9dd-986f-4fe4-ad62-da42fc65274f","added_by":"auto","created_at":"2024-03-10 02:47:51","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2560813,"visible":true,"origin":"","legend":"","description":"","filename":"VinothkumarBveticalconepaper.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4011004/v1_covered_89820269-5483-40e2-be68-106975a5a668.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Heat Transfer Analysis of Micropolar fluid over a Vertical Cone with Non-Uniform Heat source and sink: Keller Box Method and Industrial Applications","fulltext":[],"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":true,"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":"Jeffrey viscoelastic model, heat transfer, non-uniform heat source and sink, boundary layers, Keller-box method, Deborah number","lastPublishedDoi":"10.21203/rs.3.rs-4011004/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4011004/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eA mathematical model is made to look at the heat moves through a micropolar viscoelastic fluid from a vertically isothermal cone to a steady-state free convection boundary layer flow that is laminar, nonlinear, and not isothermal. 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