MHD Stokes flow over a slip-stick liquid drop within a porous region

MHD Stokes flow over a slip-stick liquid drop within a porous region | 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 MHD Stokes flow over a slip-stick liquid drop within a porous region Phani Kumar Meduri, Sivaprasad Jammula, Srinivasacharya D This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8316529/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 steady, uniform, viscous Stokes flow around a slip-stick liquid drop within a porous region under magnetic influence is considered. the rear end of the drop is considered a no-slip region and an interfacial slip is assumed at the front end of its surface. The stream functions of the flow and the drag force on the drop are obtained analytically. The results of the special case align with existing literature findings. It has been noticed that coefficient of drag values rise with increases in Hartmann number and viscosity ratio. Graphical analysis illustrated that drag is greater under no-slip condition. The streamline graphs are analyzed using varying Hartmann number, slip parameter, and viscosity ratio. Streamline graphs show magnetic damping suppresses circulation, slip weakens internal flow, and a higher viscosity ratio rigidifies the drop with smoother streamlines. magnetohydrodynamic (MHD) viscous fluid (Newtonian fluid) drag porous medium slip-stick liquid drop (slip-stick fluid sphere) 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-8316529","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":559450064,"identity":"dd8efbf6-cfc4-4125-b065-34bab2f24e7a","order_by":0,"name":"Phani Kumar Meduri","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABDElEQVRIiWNgGAWjYDACCSBOOADl8AARP4iRUECKFskGkIgBAS0MSFoYDMAcPFrMpZufPXhw5nA0/+zTiQ/ett2TMT6/OvHDAwMGeX6xA1i1WM45Zm6QcONw7oxzuZsN57YV85jdeLtZAugww5mzE7BqMbiRYCaR8OFwbsMZ3m3SvG0JQC1nN4C0JBjcxqUl/RtYy/wzvNt/g7QYzzi7+Qd+LTlAW4AO2wC0hRmkxYC/dxteWyxn5JRJJJxJz914hnez5JxzCTwSN3i3WSQYSOD0i7lE+jbJH8esc+ed4d344U1Zgj1//9nNN39U2MjzS+NwGKaQBFilBFblOLTwH8CpehSMglEwCkYmAAC5q2cES/q6+AAAAABJRU5ErkJggg==","orcid":"","institution":"VIT-AP University","correspondingAuthor":true,"prefix":"","firstName":"Phani","middleName":"Kumar","lastName":"Meduri","suffix":""},{"id":559450065,"identity":"0284bdce-80f6-47b4-9176-a1e81d8b857b","order_by":1,"name":"Sivaprasad Jammula","email":"","orcid":"","institution":"VIT-AP University","correspondingAuthor":false,"prefix":"","firstName":"Sivaprasad","middleName":"","lastName":"Jammula","suffix":""},{"id":559450066,"identity":"5edaaf76-061d-4edd-8d03-5ba9b9b7741a","order_by":2,"name":"Srinivasacharya D","email":"","orcid":"","institution":"National Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Srinivasacharya","middleName":"","lastName":"D","suffix":""}],"badges":[],"createdAt":"2025-12-09 10:38:20","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8316529/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8316529/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":105073596,"identity":"acd0b236-2407-4e74-83fb-58299ffe9cb3","added_by":"auto","created_at":"2026-03-20 15:41:04","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1229731,"visible":true,"origin":"","legend":"","description":"","filename":"ManuscriptZAMP.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8316529/v1_covered_3f560571-fc5e-432f-9cae-4bbe7f8c8910.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"MHD Stokes flow over a slip-stick liquid drop within a porous region","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":"magnetohydrodynamic (MHD), viscous fluid (Newtonian fluid), drag, porous medium, slip-stick liquid drop (slip-stick fluid sphere)","lastPublishedDoi":"10.21203/rs.3.rs-8316529/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8316529/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"A steady, uniform, viscous Stokes flow around a slip-stick liquid drop within a porous region under magnetic influence is considered. the rear end of the drop is considered a no-slip region and an interfacial slip is assumed at the front end of its surface. 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