Modeling on Hematocrit and Hemoglobin Transport in Magnetically Controlled Blood Flow through Capillaries

Modeling on Hematocrit and Hemoglobin Transport in Magnetically Controlled Blood Flow through Capillaries | 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 Modeling on Hematocrit and Hemoglobin Transport in Magnetically Controlled Blood Flow through Capillaries Deepak Kumar Maurya This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9493655/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 The magnetohydrodynamic flow of Casson and Jeffrey fluids through a two-layered cylindrical porous medium with different porosities and permeabilities is examined in the proposed mathematical study. The external region comprises Casson fluid, whereas the inner core is filled with Jeffrey fluid, delineated by a porous interface. A transverse magnetic field is employed to examine its effect on velocity distribution and fluid interaction. The model integrates Navier’s slip boundary conditions and radial symmetry to accurately represent flow dynamics. Limiting cases on velocity profile, hematocrit and effective viscosity are obtained to validate with some existing results. A comparative analysis between Jeffrey-Casson and Jeffrey-Newtonian models is also reported by graphical and numerical estimates. Such configuration is applicable to engineering applications that involve multi-fluid porous systems that are subjected to electromagnetic effects, as well as to biomedical transport processes, such as blood flow in layered vessels. Retardation Hematocrit Flow flux Wall shear stress Slip boundary 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-9493655","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":632392432,"identity":"dca5b9c0-edbe-453b-b1bf-6b3ec9f4813e","order_by":0,"name":"Deepak Kumar Maurya","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA/0lEQVRIiWNgGAWjYDCCA2DCRk6ev/n4hw9ANhs7cVrSjA1nHEtjnAHSwkyclsOJDQdyzJh5QBxCWviONx978ONMWmJjwxmzxza/tsnzMTMwfviYg1uL5Jlj6YY9N2yM25nbyo1z+24btjEzMEvO3IZbi8GNHDMJng9pso0NhzdI5/bcZgRqYWPmxafl/vtvkn8+HGZsOJBgIG3Zc9uesJYbPGzSPDcOKzYcSDGTZvhxO5GgFskzaebGMmfAgZxs2NtwO7mNmbEZr1/4jh9+9vDNMXBUHnzw489t2/ntzQc/fMSjBQjYEEzGNjDZgFc9qhaGP4QUj4JRMApGwUgEAHFIXXAqpABYAAAAAElFTkSuQmCC","orcid":"","institution":"Veer Bahadur Singh Purvanchal University","correspondingAuthor":true,"prefix":"","firstName":"Deepak","middleName":"Kumar","lastName":"Maurya","suffix":""}],"badges":[],"createdAt":"2026-04-22 09:09:16","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-9493655/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9493655/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":109247115,"identity":"4b44e1f6-7886-45db-aebf-c8becb2232ed","added_by":"auto","created_at":"2026-05-14 08:21:54","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":942234,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9493655/v1_covered_1f2ef796-3444-4399-8efb-257b915bb2ec.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Modeling on Hematocrit and Hemoglobin Transport in Magnetically Controlled Blood Flow through Capillaries","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"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":"Retardation, Hematocrit, Flow flux, Wall shear stress, Slip boundary","lastPublishedDoi":"10.21203/rs.3.rs-9493655/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9493655/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"The magnetohydrodynamic flow of Casson and Jeffrey fluids through a two-layered cylindrical porous medium with different porosities and permeabilities is examined in the proposed mathematical study. 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