Experimental and numerical studies of laminar natural convection heat transfer from an isothermally heated narrow flat plate oriented at different angles of rotation

Experimental and numerical studies of laminar natural convection heat transfer from an isothermally heated narrow flat plate oriented at different angles of rotation | 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 Experimental and numerical studies of laminar natural convection heat transfer from an isothermally heated narrow flat plate oriented at different angles of rotation Yousuf Alhendal, Abdulrahim Kalendar This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4481600/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 24 Jan, 2025 Read the published version in Heat and Mass Transfer → Version 1 posted 4 You are reading this latest preprint version Abstract The laminar natural convection heat transfer from isothermally heated narrow flat plates oriented at different angles of rotation is experimentally and numerically studied. The heated flat plate is narrow, i.e., has a relatively small width, w , to length, l , ratio, and is embedded in a plane adiabatic surface within which the heated plate can be oriented at different angles of rotation. The three-dimensional governing equations for geometrical assessment were solved numerically in terms of non-dimensional variables using finite volume-based solution. Model results for the average Nusselt number were obtained for a relatively wide range of non-dimensional variables included the Rayleigh number ranging from 1×10 3 ≤ Ra ≤ 1×10 8 , non-dimensional plate width ranging from 0.15 ≤ W ≤ 1, and angle of rotation ranging from 0° ≤ α ≤ 90°. On the other hand, experimental results for the average Nusselt number were obtained for a narrower range of non-dimensional variables included the Rayleigh number ranged from 5.98×10 3 ≤ Ra ≤ 1.18×10 5 , the angle of rotation ranged from 0° ≤ α ≤ 90°, and the non-dimensional plate width was fixed at 0.4. Additionally, a Prandtl number of 0.7 was used, which is the value for air in some of the applications that initiated this study. The model results are validated against present experimental results and existing correlations. The effects of these non-dimensional variables on the average and local Nusselt numbers for the heated flat plate were investigated. It was found that in some situations the non-dimensional variables have a significant effect on heat transfer rate from the heated flat plate. Correlations to calculate the average Nusselt number for the heated flat plate were developed. Natural convection Free convection Narrow plate Inclined angle of rotation Heated plate Isothermal Numerical experimental Correlation Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 24 Jan, 2025 Read the published version in Heat and Mass Transfer → Version 1 posted Editorial decision: Revision requested 26 Jun, 2024 Editor assigned by journal 07 Jun, 2024 Submission checks completed at journal 28 May, 2024 First submitted to journal 26 May, 2024 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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The heated flat plate is narrow, i.e., has a relatively small width, \u003cem\u003ew\u003c/em\u003e, to length, \u003cem\u003el\u003c/em\u003e, ratio, and is embedded in a plane adiabatic surface within which the heated plate can be oriented at different angles of rotation. The three-dimensional governing equations for geometrical assessment were solved numerically in terms of non-dimensional variables using finite volume-based solution. Model results for the average Nusselt number were obtained for a relatively wide range of non-dimensional variables included the Rayleigh number ranging from 1×10\u003csup\u003e3\u003c/sup\u003e ≤ \u003cem\u003eRa\u003c/em\u003e ≤ 1×10\u003csup\u003e8\u003c/sup\u003e, non-dimensional plate width ranging from 0.15 ≤ \u003cem\u003eW\u003c/em\u003e ≤ 1, and angle of rotation ranging from 0° ≤ \u003cem\u003eα\u003c/em\u003e ≤ 90°. On the other hand, experimental results for the average Nusselt number were obtained for a narrower range of non-dimensional variables included the Rayleigh number ranged from 5.98×10\u003csup\u003e3\u003c/sup\u003e ≤ \u003cem\u003eRa\u003c/em\u003e ≤ 1.18×10\u003csup\u003e5\u003c/sup\u003e, the angle of rotation ranged from 0° ≤ \u003cem\u003eα\u003c/em\u003e ≤ 90°, and the non-dimensional plate width was fixed at 0.4. Additionally, a Prandtl number of 0.7 was used, which is the value for air in some of the applications that initiated this study. The model results are validated against present experimental results and existing correlations. The effects of these non-dimensional variables on the average and local Nusselt numbers for the heated flat plate were investigated. It was found that in some situations the non-dimensional variables have a significant effect on heat transfer rate from the heated flat plate. 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