Computational Analysis of MHD Mixed Convection and Fluid–Structure Interaction of Non-Newtonian Fluids in a Vented Cavity with a Flexible Wall

Computational Analysis of MHD Mixed Convection and Fluid–Structure Interaction of Non-Newtonian Fluids in a Vented Cavity with a Flexible Wall | 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 Computational Analysis of MHD Mixed Convection and Fluid–Structure Interaction of Non-Newtonian Fluids in a Vented Cavity with a Flexible Wall Qusay Rasheed Al-amir, Karim Egab, Khaled Al-Farhany, Mohammed Azeez Alomari, and 3 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9147884/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 The present study explores the complex phenomena of fluid-structure interaction (FSI) during magnetohydrodynamic conjugate mixed convective heat transfer of non-Newtonian fluid flow in a vented differentially heated cavity. A solid conducting block is fitted with the left heated wall, and one more conducting block cum divider is located at the middle position of the bottom wall. The non-Newtonian fluid is entering into the cavity through a small port on the left-bottom wall and exits through a second port on the top of the right vertical wall. The presence of the flexible wall at the top of the cavity significantly alters the thermo-fluid structure within the cavity and further, it is affected by the presence of the bottom conducting block. Evolved transport equations governing the unsteady thermo-fluid phenomena are solved numerically using the Galerkin Finite Element Method. The study is carried out for a wide range of pertinent parameters affecting the thermal convection like Reynolds number (Re = 100–500), Richardson number (Ri = 0.1–100), Hartmann number (Ha = 0–60), power-law index ( n = 0.4–1.4), and the flexible wall elastic modulus ( E = 10 4 –10 9 ). The result shows that the elasticity modulus of the flexible wall dictates the thermo-fluid phenomena within the cavity and its lower value corresponds to the higher heat transfer rate. Furthermore, the setting of the convection mode (combination of Ri and Re) plays a significant role in the magnitude of the heat transfer characteristics. Intensifying the magnetic field strength, fluid flow dampens as well as heat transfer rate deteriorates markedly. Non-Newtonian fluid Fluid-structure interaction (FSI) MHD Conducting baffle Vented cavity Mixed convection 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. 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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-9147884","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":618577455,"identity":"be8fecd7-0c5b-4aee-ae7e-c753dc528ddd","order_by":0,"name":"Qusay Rasheed Al-amir","email":"","orcid":"","institution":"Al-Mustaqbal University College","correspondingAuthor":false,"prefix":"","firstName":"Qusay","middleName":"Rasheed","lastName":"Al-amir","suffix":""},{"id":618577456,"identity":"b9895cc8-85c5-4a69-b814-2762d8566d7f","order_by":1,"name":"Karim Egab","email":"","orcid":"","institution":"University of Dhi Qar","correspondingAuthor":false,"prefix":"","firstName":"Karim","middleName":"","lastName":"Egab","suffix":""},{"id":618577457,"identity":"7c9e6af6-d3a5-4803-81f2-536469b42f59","order_by":2,"name":"Khaled Al-Farhany","email":"","orcid":"","institution":"University of Al-Qadisiyah","correspondingAuthor":false,"prefix":"","firstName":"Khaled","middleName":"","lastName":"Al-Farhany","suffix":""},{"id":618577458,"identity":"4252108e-f250-441b-ba2a-15dca25d074b","order_by":3,"name":"Mohammed Azeez Alomari","email":"","orcid":"","institution":"University of Al-Qadisiyah","correspondingAuthor":false,"prefix":"","firstName":"Mohammed","middleName":"Azeez","lastName":"Alomari","suffix":""},{"id":618577459,"identity":"4452a005-e23c-4524-87d0-da69d79d3182","order_by":4,"name":"Hameed K. 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A solid conducting block is fitted with the left heated wall, and one more conducting block cum divider is located at the middle position of the bottom wall. The non-Newtonian fluid is entering into the cavity through a small port on the left-bottom wall and exits through a second port on the top of the right vertical wall. The presence of the flexible wall at the top of the cavity significantly alters the thermo-fluid structure within the cavity and further, it is affected by the presence of the bottom conducting block. Evolved transport equations governing the unsteady thermo-fluid phenomena are solved numerically using the Galerkin Finite Element Method. The study is carried out for a wide range of pertinent parameters affecting the thermal convection like Reynolds number (Re\u0026thinsp;=\u0026thinsp;100\u0026ndash;500), Richardson number (Ri\u0026thinsp;=\u0026thinsp;0.1\u0026ndash;100), Hartmann number (Ha\u0026thinsp;=\u0026thinsp;0\u0026ndash;60), power-law index (\u003cem\u003en\u003c/em\u003e\u0026thinsp;=\u0026thinsp;0.4\u0026ndash;1.4), and the flexible wall elastic modulus (\u003cem\u003eE\u003c/em\u003e\u0026thinsp;=\u0026thinsp;10\u003csup\u003e4\u003c/sup\u003e\u0026ndash;10\u003csup\u003e9\u003c/sup\u003e). The result shows that the elasticity modulus of the flexible wall dictates the thermo-fluid phenomena within the cavity and its lower value corresponds to the higher heat transfer rate. Furthermore, the setting of the convection mode (combination of Ri and Re) plays a significant role in the magnitude of the heat transfer characteristics. Intensifying the magnetic field strength, fluid flow dampens as well as heat transfer rate deteriorates markedly.\u003c/p\u003e","manuscriptTitle":"Computational Analysis of MHD Mixed Convection and Fluid–Structure Interaction of Non-Newtonian Fluids in a Vented Cavity with a Flexible Wall","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-04-09 17:49:33","doi":"10.21203/rs.3.rs-9147884/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":"b250c188-7724-4e1a-8676-4fd1a8489eec","owner":[],"postedDate":"April 9th, 2026","published":true,"recentEditorialEvents":[{"type":"decision","content":"Rejected","date":"2026-05-18T05:02:49+00:00","index":"","fulltext":""}],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2026-05-18T05:10:01+00:00","versionOfRecord":[],"versionCreatedAt":"2026-04-09 17:49:33","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-9147884","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-9147884","identity":"rs-9147884","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}