On the Stability Analysis of Oblique Stagnation Point Flow over a Radiated Shrinking Riga Plate with Velocity Slip

On the Stability Analysis of Oblique Stagnation Point Flow over a Radiated Shrinking Riga Plate with Velocity Slip | 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 On the Stability Analysis of Oblique Stagnation Point Flow over a Radiated Shrinking Riga Plate with Velocity Slip Shahirah Abu Bakar, Yian Yian Lok, Ioan Pop, Norihan Md Arifin This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7110934/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 10 You are reading this latest preprint version Abstract Oblique stagnation point flow refers to the fluid flow near a stagnation point when the incoming flow is not perpendicular to the surface, but rather at an angle. The Riga plate is also introduced as a transverse magnetic field to generate the wall-parallel Lorentz forces. Hence, we investigate the oblique stagnation point slip flow past a shrinking Riga plate with thermal radiation. Additionally, the plate features a permeable boundary, which allowing fluid to pass through. The governing equations of mass, momentum, and energy in the form of partial differential equations (PDEs) are transformed into a system of nonlinear ordinary differential equations (ODEs) via appropriate similarity transformations. The system is then numerically solved through bvp4c implementation in MATLAB software, where we observe the dividing streamline plots meet the oblique stagnation point against slip velocity. The effects of respective parameters on velocity and temperature profiles, such as EMHD parameter, free parameter, radiation parameter, slip parameter, as well as suction parameter, are examined in detail. Furthermore, the duality of solutions is noticed with the negative values of shrinking parameter. A stability analysis is then performed on the dual solutions and justifying the stability of the upper solution compared to the lower solution. Oblique stagnation point Riga plate shrinking dual solutions Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 09 Mar, 2026 Reviewers agreed at journal 19 Nov, 2025 Reviewers agreed at journal 12 Sep, 2025 Reviewers agreed at journal 07 Sep, 2025 Reviews received at journal 06 Sep, 2025 Reviewers agreed at journal 14 Aug, 2025 Reviewers invited by journal 30 Jul, 2025 Editor assigned by journal 18 Jul, 2025 Submission checks completed at journal 18 Jul, 2025 First submitted to journal 12 Jul, 2025 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. 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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-7110934","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":493321348,"identity":"938efecc-3433-41f5-8f7c-fbe74acb45d7","order_by":0,"name":"Shahirah Abu Bakar","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA+UlEQVRIiWNgGAWjYDACCQY2hgQGEOJhYAbT7A0ka+E5wIhfE0gLA4oWiQT8WuRnNz978HCPXR4D+9lj0gU1afLmM9+YP7rBsC0Rlz6DO8fMDRKeJRcz8OSlSc84lmM453aOYXMOw23cWiQSzCQSDjADFeSYSfOwVTDOkCagRX5G+jeglvrEBv43QC3/KuxnSJ7Br4XhRg7IlsOJDRJAW3jbchJnSPAQcNiNnDKgluOJbRLvkq1n9qUlz+BJK5ydY3DbGI/Dtkn+OFCd2M+fe/B2wbdk2xnshzd8zqm4LYvTYTDAhmY7gyNBLRjAnmQdo2AUjIJRMFwBAEZOWvAoPFb/AAAAAElFTkSuQmCC","orcid":"","institution":"University of Technology Malaysia","correspondingAuthor":true,"prefix":"","firstName":"Shahirah","middleName":"Abu","lastName":"Bakar","suffix":""},{"id":493321349,"identity":"470b7c01-01a5-411f-972b-21a083f11042","order_by":1,"name":"Yian Yian Lok","email":"","orcid":"","institution":"Universiti Sains Malaysia, USM Pulau Pinang","correspondingAuthor":false,"prefix":"","firstName":"Yian","middleName":"Yian","lastName":"Lok","suffix":""},{"id":493321350,"identity":"ac40b0c6-ba9c-4e63-9ab9-fc67233f70b0","order_by":2,"name":"Ioan Pop","email":"","orcid":"","institution":"Babes-Bolyai University","correspondingAuthor":false,"prefix":"","firstName":"Ioan","middleName":"","lastName":"Pop","suffix":""},{"id":493321353,"identity":"17889599-fe53-4fbe-8320-caf0bd0f838f","order_by":3,"name":"Norihan Md Arifin","email":"","orcid":"","institution":"Universiti Putra Malaysia","correspondingAuthor":false,"prefix":"","firstName":"Norihan","middleName":"Md","lastName":"Ari","suffix":"Md"}],"badges":[],"createdAt":"2025-07-13 03:38:08","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7110934/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7110934/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":88506616,"identity":"9dde7f06-2713-4f30-9145-2b16f279754c","added_by":"auto","created_at":"2025-08-07 07:33:04","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1635293,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7110934/v1_covered_3d612c7f-d035-45b7-aafe-3d94e5792208.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"On the Stability Analysis of Oblique Stagnation Point Flow over a Radiated Shrinking Riga Plate with Velocity Slip","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"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":"journal-of-engineering-mathematics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"engi","sideBox":"Learn more about [Journal of Engineering Mathematics](http://link.springer.com/journal/10665)","snPcode":"10665","submissionUrl":"https://submission.nature.com/new-submission/10665/3","title":"Journal of Engineering Mathematics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Oblique stagnation point, Riga plate, shrinking, dual solutions","lastPublishedDoi":"10.21203/rs.3.rs-7110934/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7110934/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eOblique stagnation point flow refers to the fluid flow near a stagnation point when the incoming flow is not perpendicular to the surface, but rather at an angle. The Riga plate is also introduced as a transverse magnetic field to generate the wall-parallel Lorentz forces. Hence, we investigate the oblique stagnation point slip flow past a shrinking Riga plate with thermal radiation. Additionally, the plate features a permeable boundary, which allowing fluid to pass through. The governing equations of mass, momentum, and energy in the form of partial differential equations (PDEs) are transformed into a system of nonlinear ordinary differential equations (ODEs) via appropriate similarity transformations. The system is then numerically solved through bvp4c implementation in MATLAB software, where we observe the dividing streamline plots meet the oblique stagnation point against slip velocity. The effects of respective parameters on velocity and temperature profiles, such as EMHD parameter, free parameter, radiation parameter, slip parameter, as well as suction parameter, are examined in detail. 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