An Reτ dependent spatial resolution correction scheme for hotwire measurements in developing zero-pressure-gradient turbulent boundary layers

An Reτ dependent spatial resolution correction scheme for hotwire measurements in developing zero-pressure-gradient turbulent boundary layers | 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 An Re τ dependent spatial resolution correction scheme for hotwire measurements in developing zero-pressure-gradient turbulent boundary layers F. G. Ergin, F. L. Zafiryadis, B. B. Watz, K. E. Meyer This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6681740/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 Constant temperature anemometry remains the preferred method for the measurement of key quantities in turbulent boundary layer investigations. One main challenge is the finite length of the hotwire sensor often being larger than the smallest eddies present in the flow. This leads to spatial averaging along the sensor and the result is an underestimated fluctuation intensity profile, which needs to be corrected. Several correction schemes have been suggested, and most schemes try to correct only for the dimensionless sensor length, L+ within a constant friction Reynolds number, Reτ. Our aim is to develop a correction scheme that takes both parameters into account; L+, and Reτ , to achieve a more global representation. Experiments have been performed over a developing zero-pressure-gradient turbulent boundary layer, with Reτ values ranging from 526 to 1230 and L+ values ranging from 66 to 85. The hot length of the sensor was used in the calculation of L+. We propose a novel and simple magnitude function, M(L+ ,Reτ ) while using the wall-normal function, f(y+), proposed by Smits. The new correction scheme is also compared with DNS results of Schlatter and Örlü at Reτ , with L+ values ranging from 5.4 to 87. The results indicate that the new magnitude function, M(L+ ,Reτ ) has a better performance on both experimental and DNS results, and for a range of L+, and Reτ values. 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-6681740","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":465180465,"identity":"b46bed3f-458d-4c45-b1db-3948eed50c59","order_by":0,"name":"F. G. Ergin","email":"","orcid":"","institution":"Dantec Dynamics A/S","correspondingAuthor":false,"prefix":"","firstName":"F.","middleName":"G.","lastName":"Ergin","suffix":""},{"id":465180466,"identity":"5c8ecfe5-570e-44b7-b3d9-6d69a938676b","order_by":1,"name":"F. L. Zafiryadis","email":"","orcid":"","institution":"Aerotak ApS","correspondingAuthor":false,"prefix":"","firstName":"F.","middleName":"L.","lastName":"Zafiryadis","suffix":""},{"id":465180467,"identity":"bb18abb5-0512-43ea-a931-5f097602103c","order_by":2,"name":"B. B. Watz","email":"","orcid":"","institution":"Dantec Dynamics A/S","correspondingAuthor":false,"prefix":"","firstName":"B.","middleName":"B.","lastName":"Watz","suffix":""},{"id":465180468,"identity":"a2d7fb29-988a-4751-9672-973e62c2c73c","order_by":3,"name":"K. E. Meyer","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAlElEQVRIiWNgGAWjYBACCRDxgQ1EppGghXEGmwGJWph5SNIi2d6d+Nim7E9iA3taAnFapHnObjbOOWeQ2MDz7ABxWuQkcrdJ57YBtUikNxCpRf7t9t+WJGmRluDdxswI1pJGpMMke3I3S/acMzZu43mWQJwWieNnN374USYn28+eZkCcFjhgI1H9KBgFo2AUjAJ8AADkxyi20hRsewAAAABJRU5ErkJggg==","orcid":"","institution":"Technical University of Denmark","correspondingAuthor":true,"prefix":"","firstName":"K.","middleName":"E.","lastName":"Meyer","suffix":""}],"badges":[],"createdAt":"2025-05-16 14:53:19","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6681740/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6681740/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":86067681,"identity":"a994aeea-a7a2-40a4-ab2a-8d13593f50fe","added_by":"auto","created_at":"2025-07-05 12:16:37","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":535818,"visible":true,"origin":"","legend":"","description":"","filename":"AnRetaudependentspatialresolutioncorrectionschemeforhotwiremeasurementsindevelopingZPGTBLs.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6681740/v1_covered_239b865f-1d30-4551-8978-fde3f283e1e2.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"\u003cp\u003eAn Re\u003csub\u003eτ\u003c/sub\u003e dependent spatial resolution correction scheme for hotwire measurements in developing zero-pressure-gradient turbulent boundary layers\u003c/p\u003e","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":"","lastPublishedDoi":"10.21203/rs.3.rs-6681740/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6681740/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Constant temperature anemometry remains the preferred method for the measurement of key quantities in turbulent boundary layer investigations. One main challenge is the finite length of the hotwire sensor often being larger than the smallest eddies present in the flow. This leads to spatial averaging along the sensor and the result is an underestimated fluctuation intensity profile, which needs to be corrected. Several correction schemes have been suggested, and most schemes try to correct only for the dimensionless sensor length, L+ within a constant friction Reynolds number, Reτ. Our aim is to develop a correction scheme that takes both parameters into account; L+, and Reτ , to achieve a more global representation. Experiments have been performed over a developing zero-pressure-gradient turbulent boundary layer, with Reτ values ranging from 526 to 1230 and L+ values ranging from 66 to 85. The hot length of the sensor was used in the calculation of L+. We propose a novel and simple magnitude function, M(L+ ,Reτ ) while using the wall-normal function, f(y+), proposed by Smits. The new correction scheme is also compared with DNS results of Schlatter and Örlü at Reτ , with L+ values ranging from 5.4 to 87. The results indicate that the new magnitude function, M(L+ ,Reτ ) has a better performance on both experimental and DNS results, and for a range of L+, and Reτ values.","manuscriptTitle":"An Reτ dependent spatial resolution correction scheme for hotwire measurements in developing zero-pressure-gradient turbulent boundary layers","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-06-03 16:32:56","doi":"10.21203/rs.3.rs-6681740/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"ef7970a5-15d5-4dc1-8aa2-31bc7e3f089d","owner":[],"postedDate":"June 3rd, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2025-07-05T12:08:21+00:00","versionOfRecord":[],"versionCreatedAt":"2025-06-03 16:32:56","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-6681740","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-6681740","identity":"rs-6681740","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}