Influence factors and prediction model of enstrophy dissipation from the tip leakage vortex in a multiphase pump

preprint OA: closed CC-BY-4.0
📄 Open PDF Full text JSON View at publisher
AI-generated summary by claude@2026-07, 2026-07-16

This study quantified multiphase pump tip leakage vortex energy dissipation, finding flow rate, tip clearance, and gas void fraction significantly influence vortex patterns and dissipation rates, and developed predictive models.

One-sentence paraphrase of the abstract; not a substitute for reading it. No clinical advice. How this works

AI-generated deep summary by claude@2026-07, 2026-07-16 · read from full text

This preprint studied how tip clearance in a multiphase pump influences energy dissipation attributable to the tip leakage vortex, using the enstrophy dissipation theory to quantitatively characterize flow behavior under varying flow rate (Q), tip clearance (Rtc), and inlet gas void fraction (IGVF). The authors report that increasing Q, Rtc, and IGVF worsens the TLV pattern and increases TLV scale, leading to higher volume enstrophy dissipation and lower wall enstrophy dissipation, with the strongest TLV and maximum impeller pressure load occurring around the 0.5 chord. They further describe flow- and clearance-dependent changes in vortex trajectories and scales (including dispersion near the shroud and extension of a tip-separated vortex), and they develop simple and multiple nonlinear regression models using Q, Rtc, and IGVF as independent variables. The paper’s major caveat is that it is a Research Square preprint that has not been peer reviewed. The paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

Read from the paper's body, not the abstract. Not a substitute for reading the paper. No clinical advice. How this works

Abstract

Abstract In a multiphase pump, tip clearance is the required distance between the blade tip and the pump body wall of the impeller, and can regulate tip leakage vortex (TLV), causing unstable flow and energy dissipation. However, there are few studies on the energy dissipation caused by the TLV. In the present work, the enstrophy dissipation theory is innovatively applied to quantitatively study the energy dissipation of the TLV. The flow rate ( Q) , tip clearance ( Rtc) , and inlet gas void fraction ( IGVF ) play a crucial role in affecting the enstrophy dissipation of the TLV. The results suggest that increasing Q , Rtc , and IGVF significantly exacerbate the TLV pattern and raise the TLV scale, which gradually raises volume enstrophy dissipation and decreases wall enstrophy dissipation. The maximum pressure load in the impeller occurs at the 0.5 chord, where a strong TLV is generated, leading to significant enstrophy dissipation. As the flow rate increases, the separation angle between the primary TLV (PTLV) trajectory and the blade gradually decreases, and widely dispersing the enstrophy dissipation near the shroud. However, as the tip clearance increases, the tipseparated vortex (TSV) scale increases and extends to the suction surface, raising the velocity gradient. Besides, as the IGVF increases, the secondary TLV (STLV) develops from a continuous sheet vortex to a scattered strip vortex, increasing the pressure fluctuation intensity. Considering the flow rate, tip clearance, and IGVF as independent variables, simple and multiple nonlinear regression models for the enstrophy dissipation are established.
Full text 11,627 characters · extracted from preprint-html · click to expand
Influence factors and prediction model of enstrophy dissipation from the tip leakage vortex in a multiphase pump | 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 Influence factors and prediction model of enstrophy dissipation from the tip leakage vortex in a multiphase pump Zekui Shu, Guangtai Shi, Xin Yao, Guodong Sun, Sijia Tao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-1417207/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 In a multiphase pump, tip clearance is the required distance between the blade tip and the pump body wall of the impeller, and can regulate tip leakage vortex (TLV), causing unstable flow and energy dissipation. However, there are few studies on the energy dissipation caused by the TLV. In the present work, the enstrophy dissipation theory is innovatively applied to quantitatively study the energy dissipation of the TLV. The flow rate ( Q) , tip clearance ( Rtc) , and inlet gas void fraction ( IGVF ) play a crucial role in affecting the enstrophy dissipation of the TLV. The results suggest that increasing Q , Rtc , and IGVF significantly exacerbate the TLV pattern and raise the TLV scale, which gradually raises volume enstrophy dissipation and decreases wall enstrophy dissipation. The maximum pressure load in the impeller occurs at the 0.5 chord, where a strong TLV is generated, leading to significant enstrophy dissipation. As the flow rate increases, the separation angle between the primary TLV (PTLV) trajectory and the blade gradually decreases, and widely dispersing the enstrophy dissipation near the shroud. However, as the tip clearance increases, the tipseparated vortex (TSV) scale increases and extends to the suction surface, raising the velocity gradient. Besides, as the IGVF increases, the secondary TLV (STLV) develops from a continuous sheet vortex to a scattered strip vortex, increasing the pressure fluctuation intensity. Considering the flow rate, tip clearance, and IGVF as independent variables, simple and multiple nonlinear regression models for the enstrophy dissipation are established. Multiphase pump Tip leakage vortex Enstrophy dissipation Simple regression model Multiple nonlinear regression model Full Text 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-1417207","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":95591205,"identity":"067a474c-4ca2-46a0-8225-443705d3b455","order_by":0,"name":"Zekui Shu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAu0lEQVRIiWNgGAWjYDACCRBxgIGHn5n54APStEi2syUbkKSFweA8j5kAUTrkZ/cYf/hw5rCM8WEGMwaGGptogloM7pwxMJxx4zCP2WGGtAcMx9JyGwhqkcgxSOb5ANZy3ICx4TBhLfIzcgwO/wFqMW5mbJMgSgvDjRzDZgagwwyYmdmI02JwI62YsedMOo/EYTZmgwRi/CI/I3nzhx/HrO35+89/fPChxoYIh6GABNKUj4JRMApGwSjABQD7oz8EI4bVjwAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0002-3087-3887","institution":"Xihua University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Zekui","middleName":"","lastName":"Shu","suffix":""},{"id":95591206,"identity":"9527aaa2-2c77-4087-bbb6-4a5d5fd2275c","order_by":1,"name":"Guangtai Shi","email":"","orcid":"","institution":"Xihua University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Guangtai","middleName":"","lastName":"Shi","suffix":""},{"id":95591207,"identity":"ba0d6221-e66b-42c6-ba53-9c32c74a4204","order_by":2,"name":"Xin Yao","email":"","orcid":"","institution":"Xihua University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Xin","middleName":"","lastName":"Yao","suffix":""},{"id":95591208,"identity":"6489804b-7595-48c6-8c36-fc863a45ef44","order_by":3,"name":"Guodong Sun","email":"","orcid":"","institution":"Xihua University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Guodong","middleName":"","lastName":"Sun","suffix":""},{"id":95591209,"identity":"d9a660dd-4e74-40eb-ad92-48c83472075b","order_by":4,"name":"Sijia Tao","email":"","orcid":"","institution":"Xihua University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Sijia","middleName":"","lastName":"Tao","suffix":""}],"badges":[],"createdAt":"2022-03-04 01:21:42","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-1417207/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-1417207/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":19940376,"identity":"91cdb56f-af30-4521-a81d-f17f39e2ee53","added_by":"auto","created_at":"2022-04-04 15:32:38","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":7759888,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-1417207/v1_covered.pdf"}],"financialInterests":"","formattedTitle":"Influence factors and prediction model of enstrophy dissipation from the tip leakage vortex in a multiphase pump","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-1417207/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"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":false,"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":"Multiphase pump, Tip leakage vortex, Enstrophy dissipation, Simple regression model, Multiple nonlinear regression model","lastPublishedDoi":"10.21203/rs.3.rs-1417207/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-1417207/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In a multiphase pump, tip clearance is the required distance between the blade tip and the pump body wall of the impeller, and can regulate tip leakage vortex (TLV), causing unstable flow and energy dissipation. However, there are few studies on the energy dissipation caused by the TLV. In the present work, the enstrophy dissipation theory is innovatively applied to quantitatively study the energy dissipation of the TLV. The flow rate ( Q) , tip clearance ( Rtc) , and inlet gas void fraction ( IGVF ) play a crucial role in affecting the enstrophy dissipation of the TLV. The results suggest that increasing Q , Rtc , and IGVF significantly exacerbate the TLV pattern and raise the TLV scale, which gradually raises volume enstrophy dissipation and decreases wall enstrophy dissipation. The maximum pressure load in the impeller occurs at the 0.5 chord, where a strong TLV is generated, leading to significant enstrophy dissipation. As the flow rate increases, the separation angle between the primary TLV (PTLV) trajectory and the blade gradually decreases, and widely dispersing the enstrophy dissipation near the shroud. However, as the tip clearance increases, the tipseparated vortex (TSV) scale increases and extends to the suction surface, raising the velocity gradient. Besides, as the IGVF increases, the secondary TLV (STLV) develops from a continuous sheet vortex to a scattered strip vortex, increasing the pressure fluctuation intensity. Considering the flow rate, tip clearance, and IGVF as independent variables, simple and multiple nonlinear regression models for the enstrophy dissipation are established.","manuscriptTitle":"Influence factors and prediction model of enstrophy dissipation from the tip leakage vortex in a multiphase pump","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2022-04-04 15:32:26","doi":"10.21203/rs.3.rs-1417207/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":"efff0404-45d9-481b-ab8f-9fd0defba1c2","owner":[],"postedDate":"April 4th, 2022","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2022-04-27T09:40:41+00:00","versionOfRecord":[],"versionCreatedAt":"2022-04-04 15:32:26","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-1417207","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-1417207","identity":"rs-1417207","version":["v1"]},"buildId":"cBFmMYwuxLRRLfASyISRj","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}

Text is read by the "Ask this paper" AI Q&A widget below. Extraction quality varies by source — PMC NXML preserves structure cleanly, OA-HTML may include some navigation residue, and OA-PDF can have broken hyphenation. The publisher copy (via DOI) is the canonical version.

My notes (saved in your browser only)

Ask this paper AI returns verbatim quotes from the full text · source: preprint-html

Answers must be backed by verbatim quotes from this paper's full text. Hallucinated quotes are dropped automatically; if no verbatim passage answers the question, we say so. How this works

Citation neighborhood (no data yet)

We don't have any in-corpus citations linked to this paper yet. The paper's references may be in our DB but unresolved to ``paper_id`` (resolution happens at ingest when the cited DOI matches a row we already have). Run the cross-source citation reconcile pass to retry.

Source provenance

europepmc
last seen: 2026-05-19T01:45:01.086888+00:00
unpaywall
last seen: 2026-05-22T02:00:06.705733+00:00
License: CC-BY-4.0