Unraveling Momentum and Heat Intercoupling in Reattaching Turbulent Boundary Layers Using Dynamic Mode Decomposition

Unraveling Momentum and Heat Intercoupling in Reattaching Turbulent Boundary Layers Using Dynamic Mode Decomposition | 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 Unraveling Momentum and Heat Intercoupling in Reattaching Turbulent Boundary Layers Using Dynamic Mode Decomposition Rozie Zangeneh This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7436805/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 Dynamic mode decomposition method is deployed to investigate the heat transfer mechanism in a compressible turbulent shear layer and shockwave. To this end, highly resolved Large Eddy Simulations are performed to explore the effect of wall thermal conditions on the behavior of a reattaching free shear layer interacting with an oblique shock in compressible turbulent flows. Various wall temperature conditions, such as cold adiabatic and hot wall, are considered. Dynamic mode decomposition is used to isolate and study the structures generated by the shear layer exposed in the boundary layer. Results reveal that the shear layer flapping is the most energetic mode. The hot wall gains the highest amplitude for the flapping frequency, and the vortical motions are most intense in the vicinity of the reattachment point of the heated wall. The vortex shedding due to the large-scale motion of the shear layer is associated with the second energetic mode. The cold wall not only has a higher amplitude of the shedding mode, but it also has a lower frequency compared to the adiabatic and hot walls. This work sheds light on the underlying physics of the nonlinear intercoupling of momentum and heat, hence providing guidelines for designing control systems for high speed flight vehicles and mitigating aircraft fatigue loading caused by intense wall pressure fluctuations and heat flux. Dynamic mode decomposition Separated compressible flow Wall heat transfer Vortex shedding 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. 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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-7436805","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":517853294,"identity":"59af0ee8-d6aa-4231-8c13-925e0c874dba","order_by":0,"name":"Rozie Zangeneh","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4UlEQVRIiWNgGAWjYJCCA0AsB2ZVMDAwNjAwGBClxZiBDUieIVYLCCQ2EK3FvL394YEPf+zS589vfvbgQMU92Qb25m0S+LTInDmQcHAGT3LuhmNs5gYHzhQbN/AcK8OrRUIi4cBhHgnm3A1sDGbSH9sSEhskcswIaElsOPzHoD5dvo39m8RBkBb5N4S0JDMcZkg4nMBwjMcMokWCh4AWnmMMB3sOHDfccCynTOLAmQTjNp60Ygu8WtjbH3/48adaXr75+DaJAxUJsv3shzfewKcFE7CRpnwUjIJRMApGATYAANCIS8Utfe2JAAAAAElFTkSuQmCC","orcid":"","institution":"Stanford University","correspondingAuthor":true,"prefix":"","firstName":"Rozie","middleName":"","lastName":"Zangeneh","suffix":""}],"badges":[],"createdAt":"2025-08-22 18:23:07","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7436805/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7436805/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":91819183,"identity":"a16d7fa7-17a8-4221-863a-b13f001e9b7f","added_by":"auto","created_at":"2025-09-22 07:06:07","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":6217722,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript2025.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7436805/v1/647bfeafd70ecda5b144486e.pdf"},{"id":91819156,"identity":"72eef1e0-3c8f-464b-b8f3-b7c3fb6db302","added_by":"auto","created_at":"2025-09-22 07:05:59","extension":"json","order_by":1,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":3175,"visible":true,"origin":"","legend":"","description":"","filename":"a99dee37d9de463b916a624ba9ffc352.json","url":"https://assets-eu.researchsquare.com/files/rs-7436805/v1/7094c8007fd8c969fbbd4e0a.json"},{"id":102296573,"identity":"6afb85d2-50ee-4fa7-9e9f-1fd7d3439a49","added_by":"auto","created_at":"2026-02-10 10:20:11","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3816275,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript2025.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7436805/v1_covered_cbe62643-bafb-4b16-8aef-19c5df33286e.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Unraveling Momentum and Heat Intercoupling in Reattaching Turbulent Boundary Layers Using Dynamic Mode Decomposition","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":"Dynamic mode decomposition, Separated compressible flow, Wall heat transfer, Vortex shedding","lastPublishedDoi":"10.21203/rs.3.rs-7436805/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7436805/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Dynamic mode decomposition method is deployed to investigate the heat transfer mechanism in a compressible turbulent shear layer and shockwave. 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