Application of the fractional-order theory of micro-polar thermoelasticity in the solid cylinder

Application of the fractional-order theory of micro-polar thermoelasticity in the solid cylinder | 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 Application of the fractional-order theory of micro-polar thermoelasticity in the solid cylinder Shaaban Khader, Ayman Marrouf, Mona Khedr This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3935220/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 3 You are reading this latest preprint version Abstract This work examines the heat transfer efficiency of CuZnFe 2 O 4 -water and NiZnFe 4 O 4 -water magnetic nanofluids when subjected to forced convection with an external magnetic field. The experiments were carried out utilizing nanofluids that were generated with volume concentrations of 0.5% and 1.0% in a mini-channel. The studies were conducted with consistent heat flux boundary conditions within the Reynolds number range of 300–1300. A magnetic field within the 22–38 mT range has been produced by using two electromagnets positioned at a right angle to the direction of flow. The collected data has shown substantial improvements in the Nusselt number when using nanofluids. Applying an external magnetic field to nanofluids led to substantial improvements in heat transfer. The influence of the magnetic field on the transport of heat was particularly noticeable in situations characterized by low Reynolds numbers and nanofluids containing a high concentration of nanoparticles. Furthermore, it was noted that the magnitude of the magnetic field also has a substantial favorable impact. The highest rates of increase in the Nusselt number were attained for both nanofluids when the volume concentration was 1.0%, the Reynolds number was 300, and the magnetic field intensity was set at 38 mT. In addition, the CuZnFe 2 O 4 -water nanofluid exhibited a greater susceptibility to the magnetic field in comparison to the NiZnFe 4 O 4 -water nanofluid. Relative to the scenario without a magnetic field, the NiZnFe 4 O 4 -water nanofluid exhibited a maximum Nusselt number increase rate of 24.62%, while the CuZnFe 2 O 4 -water nanofluid demonstrated a higher increase rate of 39.34%. CuZnFe2O4 NiZnFe4O4 Magnetic field Magnetic nanofluid Mini-channel Full Text Cite Share Download PDF Status: Under Review Version 1 posted Reviewers agreed at journal 16 Feb, 2024 Editor assigned by journal 05 Feb, 2024 First submitted to journal 30 Jan, 2024 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-3935220","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":273411462,"identity":"99b79183-352a-44a4-b311-8337463f66d1","order_by":0,"name":"Shaaban Khader","email":"","orcid":"","institution":"Egyptian Atomic Energy Authority","correspondingAuthor":false,"prefix":"","firstName":"Shaaban","middleName":"","lastName":"Khader","suffix":""},{"id":273411463,"identity":"67ffd800-b0f2-4576-9e26-c23f16753a9e","order_by":1,"name":"Ayman Marrouf","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA20lEQVRIiWNgGAWjYFCCAzAG48MHSDw8gBGuiNnYgDgtzAgtZhJEaeFvO8C66UbNvXx+iWS2ap6aO3L8DMwPH93Ao0XizAG22znHii1nzkhmu81z7JmxZAObsXEOPmtugLSwJRgY3Mg/dpuH7XDihgM8bNL4tMjffwDU8g+kJZmtmOcfEVoMDgBtyW2DaGHmbSNCiyFYS1+CgWTPY2bJuX2HjSWbCfhFDqQl51uCAT97MuOHN98Oy/GzNz98jNf7DPwf4EwmHhDJjFc5GmD8QYrqUTAKRsEoGDEAAPhfT80fD2pYAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0002-7613-6356","institution":"Egyptian Atomic Energy Authority","correspondingAuthor":true,"prefix":"","firstName":"Ayman","middleName":"","lastName":"Marrouf","suffix":""},{"id":273411464,"identity":"107e50f7-79c8-4e65-8da5-1e4c2d24f54a","order_by":2,"name":"Mona Khedr","email":"","orcid":"","institution":"Alexandria University Faculty of Science","correspondingAuthor":false,"prefix":"","firstName":"Mona","middleName":"","lastName":"Khedr","suffix":""}],"badges":[],"createdAt":"2024-02-07 00:18:28","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3935220/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3935220/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":51362934,"identity":"27408b6a-771c-4122-aba4-3351d845103d","added_by":"auto","created_at":"2024-02-20 09:15:11","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":651472,"visible":true,"origin":"","legend":"","description":"","filename":"finalApplicationofthefractionalorder.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3935220/v1_covered_f5fc1ec8-b79f-4d8e-a4fb-6c8a7a06fed6.pdf"}],"financialInterests":"","formattedTitle":"Application of the fractional-order theory of micro-polar thermoelasticity in the solid cylinder","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"journal-of-the-brazilian-society-of-mechanical-sciences-and-engineering","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"bmse","sideBox":"Learn more about [Journal of the Brazilian Society of Mechanical Sciences and Engineering](http://link.springer.com/journal/40430)","snPcode":"40430","submissionUrl":"https://www.editorialmanager.com/bmse/default2.aspx","title":"Journal of the Brazilian Society of Mechanical Sciences and Engineering","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"CuZnFe2O4, NiZnFe4O4, Magnetic field, Magnetic nanofluid, Mini-channel","lastPublishedDoi":"10.21203/rs.3.rs-3935220/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3935220/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis work examines the heat transfer efficiency of CuZnFe\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e4\u003c/sub\u003e-water and NiZnFe\u003csub\u003e4\u003c/sub\u003eO\u003csub\u003e4\u003c/sub\u003e-water magnetic nanofluids when subjected to forced convection with an external magnetic field. The experiments were carried out utilizing nanofluids that were generated with volume concentrations of 0.5% and 1.0% in a mini-channel. The studies were conducted with consistent heat flux boundary conditions within the Reynolds number range of 300\u0026ndash;1300. A magnetic field within the 22\u0026ndash;38 mT range has been produced by using two electromagnets positioned at a right angle to the direction of flow. The collected data has shown substantial improvements in the Nusselt number when using nanofluids. Applying an external magnetic field to nanofluids led to substantial improvements in heat transfer. The influence of the magnetic field on the transport of heat was particularly noticeable in situations characterized by low Reynolds numbers and nanofluids containing a high concentration of nanoparticles. Furthermore, it was noted that the magnitude of the magnetic field also has a substantial favorable impact. The highest rates of increase in the Nusselt number were attained for both nanofluids when the volume concentration was 1.0%, the Reynolds number was 300, and the magnetic field intensity was set at 38 mT. In addition, the CuZnFe\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e4\u003c/sub\u003e-water nanofluid exhibited a greater susceptibility to the magnetic field in comparison to the NiZnFe\u003csub\u003e4\u003c/sub\u003eO\u003csub\u003e4\u003c/sub\u003e-water nanofluid. Relative to the scenario without a magnetic field, the NiZnFe\u003csub\u003e4\u003c/sub\u003eO\u003csub\u003e4\u003c/sub\u003e-water nanofluid exhibited a maximum Nusselt number increase rate of 24.62%, while the CuZnFe\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e4\u003c/sub\u003e-water nanofluid demonstrated a higher increase rate of 39.34%.\u003c/p\u003e","manuscriptTitle":"Application of the fractional-order theory of micro-polar thermoelasticity in the solid cylinder","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-02-20 09:07:02","doi":"10.21203/rs.3.rs-3935220/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"reviewerAgreed","content":"","date":"2024-02-16T14:43:00+00:00","index":0,"fulltext":""},{"type":"editorAssigned","content":"","date":"2024-02-06T03:08:39+00:00","index":"","fulltext":""},{"type":"submitted","content":"Journal of the Brazilian Society of Mechanical Sciences and Engineering","date":"2024-01-30T06:54:27+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"journal-of-the-brazilian-society-of-mechanical-sciences-and-engineering","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"bmse","sideBox":"Learn more about [Journal of the Brazilian Society of Mechanical Sciences and Engineering](http://link.springer.com/journal/40430)","snPcode":"40430","submissionUrl":"https://www.editorialmanager.com/bmse/default2.aspx","title":"Journal of the Brazilian Society of Mechanical Sciences and Engineering","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"590419c4-59b3-4011-9114-d9f89a545dab","owner":[],"postedDate":"February 20th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2024-04-19T14:29:47+00:00","versionOfRecord":[],"versionCreatedAt":"2024-02-20 09:07:02","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-3935220","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-3935220","identity":"rs-3935220","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}