Electro-osmotically Modulated Viscoelastic SWCNT-Blood flow in Symmetric/Nonsymmetric Stenosed Arteries with heat generation using a Fractional Second Grade Model

Electro-osmotically Modulated Viscoelastic SWCNT-Blood flow in Symmetric/Nonsymmetric Stenosed Arteries with heat generation using a Fractional Second Grade Model | 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 Electro-osmotically Modulated Viscoelastic SWCNT-Blood flow in Symmetric/Nonsymmetric Stenosed Arteries with heat generation using a Fractional Second Grade Model Mahadev M Channakote, O. Anwar Bég, S. Kuharat, M. Shekar, C. Siddabasappa This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5333397/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 current study aims to analyse the electro-osmotically driven non-Newtonian blood flow containing single-walled carbon nanotubes (SWCNTs) in symmetric and non-symmetric stenosed arteries. This nanoscale formulation considers the impact of SWCNTs on flow characteristics, with a key focus on the thermal and electrical properties of blood. The fractional viscoelastic second grade Reiner-Rivlin differential model is deployed for rheological effects and employs Caputo's definition. Heat generation and thermal buoyancy (natural convection) are also considered. The Debye-Hückel linearization approximation is used to analyse the electro-osmotic dynamics. The system of partial differential equations relevant to the problem is simplified to an ordinary differential equation system by virtue of suitable scaling transformations. Analytical solutions are derived for the non-dimensional boundary value problem. Axial velocity, temperature, electrical potential, volumetric flow rate, axial pressure gradient, pressure rise, and wall shear stress have been computed and selected characteristics have been visualized with the aid of graphs using Mathematica software. The computations show that there is a depletion in the velocity at the walls whereas there is a strong elevation in the core zone for both symmetric (n=2) and non-symmetric (n=6) shapes of stenosis with increasing positive values of Helmholtz-Smoluchowski velocity (UHS), non-Newtonian fractional viscoelastic parameter (λ), carbon nanotube (CNT) volume fraction (ϕ), electro-osmotic Debye length parameter (m) and stenosis height (ϵ). With increasing heat generation parameter (β>0), axial velocity is enhanced across the arterial section and temperature is enhanced. Temperature and wall shear stress (τ_w ) are both strongly reduced with greater carbon nanotube (CNT) volume fraction (ϕ). An increment in volume flow rate (Q) and stenosis height (ϵ) enhances wall shear stress values. A non-symmetric shape of stenosis (n =6) generally produces higher temperatures than the symmetric shape case (n =2). An assessment of trapping phenomena shows that size and number of trapping boluses are increased with higher volumetric flow rate (Q) for both the non-symmetric and symmetric stenotic cases. Hemodynamics single wall carbon nanotubes (CNTs) electro-osmosis fractional second grade fluid heat transfer stenosis wall shear stress Mathematica software 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-5333397","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":372605630,"identity":"a3b834d4-503e-4975-81a8-b74eb4a8386e","order_by":0,"name":"Mahadev M Channakote","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABBUlEQVRIiWNgGAWjYFACHjBpAMSMDxgYmHnYmw8wMCQUEKOFjYHZAKSF51gCUIsBcVrYJIBaGMBaGPBo0W0/e/Bz4Q47Y3755mPVFRXWMjxs3IkfHhgwyPOLHcCqxexMXrL0zDPJZpJtbGk3z5xJ5+Fh490sAXSY4czZCdi13OAxkOZtY7YxOMZjdrOx7TCPvXzvBpCWBIPbOLUY/+Ztqwdq4f9W2PjvMNiWHwS0mAFtOWwGtIWNsbEBrGUbflvO5JhZ87YdN5ZsSzOWbDgG9ss2iwQDCdx+OX7G+DZvW7VhP/Phhx8baqztQQ67+aPCRp5fGrsWnECCNOWjYBSMglEwClAAAJzdVGpXadubAAAAAElFTkSuQmCC","orcid":"","institution":"M. 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This nanoscale formulation considers the impact of SWCNTs on flow characteristics, with a key focus on the thermal and electrical properties of blood. The fractional viscoelastic second grade Reiner-Rivlin differential model is deployed for rheological effects and employs Caputo's definition. Heat generation and thermal buoyancy (natural convection) are also considered. The Debye-Hückel linearization approximation is used to analyse the electro-osmotic dynamics. The system of partial differential equations relevant to the problem is simplified to an ordinary differential equation system by virtue of suitable scaling transformations. Analytical solutions are derived for the non-dimensional boundary value problem. Axial velocity, temperature, electrical potential, volumetric flow rate, axial pressure gradient, pressure rise, and wall shear stress have been computed and selected characteristics have been visualized with the aid of graphs using Mathematica software. The computations show that there is a depletion in the velocity at the walls whereas there is a strong elevation in the core zone for both symmetric (n=2) and non-symmetric (n=6) shapes of stenosis with increasing positive values of Helmholtz-Smoluchowski velocity (UHS), non-Newtonian fractional viscoelastic parameter (λ), carbon nanotube (CNT) volume fraction (ϕ), electro-osmotic Debye length parameter (m) and stenosis height (ϵ). With increasing heat generation parameter (β\u0026gt;0), axial velocity is enhanced across the arterial section and temperature is enhanced. Temperature and wall shear stress (τ_w ) \u0026nbsp;are both strongly reduced with greater carbon nanotube (CNT) volume fraction (ϕ). An increment in volume flow rate (Q) and stenosis height (ϵ) enhances wall shear stress values. A non-symmetric shape of stenosis (n =6) generally produces higher temperatures than the symmetric shape case (n =2). An assessment of trapping phenomena shows that size and number of trapping boluses are increased with higher volumetric flow rate (Q) for both the non-symmetric and symmetric stenotic cases.\u0026nbsp;\u003c/p\u003e","manuscriptTitle":"Electro-osmotically Modulated Viscoelastic SWCNT-Blood flow in Symmetric/Nonsymmetric Stenosed Arteries with heat generation using a Fractional Second Grade Model","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-11-04 04:24:26","doi":"10.21203/rs.3.rs-5333397/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":"7bd8c4b4-dc27-4677-ba6b-47ce49f7daaa","owner":[],"postedDate":"November 4th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-11-04T04:24:26+00:00","versionOfRecord":[],"versionCreatedAt":"2024-11-04 04:24:26","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-5333397","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-5333397","identity":"rs-5333397","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}