Effects of Hall current on a stagnation point flow in a nanofluid over a stretching sheet

Effects of Hall current on a stagnation point flow in a nanofluid over a stretching sheet | 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 Hall current on a stagnation point flow in a nanofluid over a stretching sheet Asmaa Ramadan, Emad Abo-Eldahab, Mohamed Abd-Elaziz, Rasha Adel This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7824478/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 Background This study examines the effects of the Hall current on stagnation point flow over a stretching sheet when nanofluids are involved. Specifically, it investigates copper (Cu) and titanium dioxide (TiO₂) nanoparticles suspended in water. The governing partial differential equations are simplified into ordinary differential equations through a similarity transformation and are then solved numerically using the Runge-Kutta method combined with a shooting technique. The analysis considers nanoparticle volume fractions ranging from 0 to 0.2 and accounts for the role of the Prandtl number. Key parameters discussed include the Hall current, magnetic field strength, ambient flow velocity, and their impact on temperature profiles, fluid velocity, heat transfer characteristics, the local Nusselt number, and skin friction coefficient. Results The findings reveal that increasing the nanoparticle volume fraction tends to reduce the skin friction coefficient, indicating a potential resistance to flow. Moreover, both the concentration and type of nanoparticles significantly influence the behavior of fluid motion and thermal distribution. Conclusion The Hall effect serves multiple applications, including tracking charge carrier movement, evaluating blood flow velocity in medical diagnostics, and accurately determining magnetic field strength. Hall current stagnation point heat transfer stretching sheet nanofluid. 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-7824478","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":535135740,"identity":"3defb76f-ccc5-472e-ab37-4b41e934dac7","order_by":0,"name":"Asmaa 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sheet","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":"Hall current, stagnation point, heat transfer, stretching sheet, nanofluid.","lastPublishedDoi":"10.21203/rs.3.rs-7824478/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7824478/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003ch2\u003eBackground\u003c/h2\u003e\u003cp\u003eThis study examines the effects of the Hall current on stagnation point flow over a stretching sheet when nanofluids are involved. Specifically, it investigates copper (Cu) and titanium dioxide (TiO₂) nanoparticles suspended in water. The governing partial differential equations are simplified into ordinary differential equations through a similarity transformation and are then solved numerically using the Runge-Kutta method combined with a shooting technique. The analysis considers nanoparticle volume fractions ranging from 0 to 0.2 and accounts for the role of the Prandtl number. Key parameters discussed include the Hall current, magnetic field strength, ambient flow velocity, and their impact on temperature profiles, fluid velocity, heat transfer characteristics, the local Nusselt number, and skin friction coefficient.\u003c/p\u003e\u003ch2\u003eResults\u003c/h2\u003e\u003cp\u003eThe findings reveal that increasing the nanoparticle volume fraction tends to reduce the skin friction coefficient, indicating a potential resistance to flow. Moreover, both the concentration and type of nanoparticles significantly influence the behavior of fluid motion and thermal distribution.\u003c/p\u003e\u003ch2\u003eConclusion\u003c/h2\u003e\u003cp\u003eThe Hall effect serves multiple applications, including tracking charge carrier movement, evaluating blood flow velocity in medical diagnostics, and accurately determining magnetic field strength.\u003c/p\u003e","manuscriptTitle":"Effects of Hall current on a stagnation point flow in a nanofluid over a stretching sheet","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-11-03 07:02:36","doi":"10.21203/rs.3.rs-7824478/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"88364191-49bf-47f0-8ff9-2df6c59a2d05","owner":[],"postedDate":"November 3rd, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2026-01-21T11:51:44+00:00","versionOfRecord":[],"versionCreatedAt":"2025-11-03 07:02:36","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7824478","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7824478","identity":"rs-7824478","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}