Stagnant Flow of CuO/H2O Hybrid Nano-fluid with Convection and MHD on an Anti-logarithmically Stretching / Shrinking Sheet with Velocity and Thermal Slips

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Abstract

Abstract The enhanced thermal efficiency of hybrid nano-fluids has significant real world applications in numerous industrial and engineering fields. The current paper deals with the mathematical modelling and numerical evaluations of combined convection stagnant flow with MHD of a copper-aloxide/water hybrid nano-fluid across an anti-logarithmically shrinking or stretching sheet under the established conditions of velocity and thermal slips. The momentum, continuity and energy equations that described the flow of the fluid problem are converted into simpler form of ordinary differential equations(ODEs) with the aid of adequate similarity transformations. The turned ODEs are solved by numerical schemes with the help of the bvp4c (MATLAB software). The possession of different governing parameters like nano-particle volume fraction, Hartmann number, suction/injection parameter, velocity slip and thermal slip on velocity and temperature distributions are discussed and analyzed graphically. It is found that dual solutions exist for both assisting and opposing flows. Results from this study were compared to those previously in the literature, and they were determined to be quite consistent.
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Stagnant Flow of CuO/H2O Hybrid Nano-fluid with Convection and MHD on an Anti-logarithmically Stretching / Shrinking Sheet with Velocity and Thermal Slips | 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 Stagnant Flow of CuO/H 2 O Hybrid Nano-fluid with Convection and MHD on an Anti-logarithmically Stretching / Shrinking Sheet with Velocity and Thermal Slips Sandhya Palmur, Imran Chandarki, B. Venkateswarlu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6952999/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 13 You are reading this latest preprint version Abstract The enhanced thermal efficiency of hybrid nano-fluids has significant real world applications in numerous industrial and engineering fields. The current paper deals with the mathematical modelling and numerical evaluations of combined convection stagnant flow with MHD of a copper-aloxide/water hybrid nano-fluid across an anti-logarithmically shrinking or stretching sheet under the established conditions of velocity and thermal slips. The momentum, continuity and energy equations that described the flow of the fluid problem are converted into simpler form of ordinary differential equations(ODEs) with the aid of adequate similarity transformations. The turned ODEs are solved by numerical schemes with the help of the bvp4c (MATLAB software). The possession of different governing parameters like nano-particle volume fraction, Hartmann number, suction/injection parameter, velocity slip and thermal slip on velocity and temperature distributions are discussed and analyzed graphically. It is found that dual solutions exist for both assisting and opposing flows. Results from this study were compared to those previously in the literature, and they were determined to be quite consistent. MHD Hybrid nanofluid stretching sheet velocity slip thermal slip Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 25 Sep, 2025 Reviews received at journal 25 Sep, 2025 Reviews received at journal 15 Sep, 2025 Reviewers agreed at journal 14 Sep, 2025 Reviewers agreed at journal 13 Sep, 2025 Reviews received at journal 12 Sep, 2025 Reviewers agreed at journal 12 Sep, 2025 Reviewers agreed at journal 12 Sep, 2025 Reviewers invited by journal 12 Sep, 2025 Editor assigned by journal 10 Sep, 2025 Editor invited by journal 10 Sep, 2025 Submission checks completed at journal 25 Aug, 2025 First submitted to journal 25 Aug, 2025 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. 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