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Heat transfer by free convection from an isothermal vertical round plate in unlimited space

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  • Lewandowski, Witold M.
  • Radziemska, Ewa

Abstract

A theoretical solution of natural convective heat transfer from isothermal round plates mounted vertically in unlimited space, is presented. With simplifying assumptions typical for natural heat transfer process, equations for the velocity profile in the boundary layer and the average velocity were obtained. Using this velocity, the energy flow within the boundary layer was balanced and compared with the energy transferred from the surface of the vertical plate according to the Newton's law. The solution of the resulting differential equation is presented in the form of a correlation between the dimensionless Nusselt and Rayleigh numbers. The theoretical result is compared with the correlation of numerical results obtained using . Experimental measurements of heat transfer from a heated round vertical plate 0.07 m in diameter were performed in both water and air. The theoretical, numerical, and experimental results are all in good agreement.

Suggested Citation

  • Lewandowski, Witold M. & Radziemska, Ewa, 2001. "Heat transfer by free convection from an isothermal vertical round plate in unlimited space," Applied Energy, Elsevier, vol. 68(2), pages 187-201, February.
    • Handle: RePEc:eee:appene:v:68:y:2001:i:2:p:187-201
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    Cited by:

    1. Ismail, M.S. & Ingham, D.B. & Hughes, K.J. & Ma, L. & Pourkashanian, M., 2013. "Thermal modelling of the cathode in air-breathing PEM fuel cells," Applied Energy, Elsevier, vol. 111(C), pages 529-537.
    2. Duan, Juan, 2021. "The PCM-porous system used to cool the inclined PV panel," Renewable Energy, Elsevier, vol. 180(C), pages 1315-1332.
    3. Wang, Zhihao & Sharafian, Amir & Mérida, Walter, 2020. "Non-equilibrium thermodynamic model for liquefied natural gas storage tanks," Energy, Elsevier, vol. 190(C).
    4. Jung, Byungchan & Park, Kiheum & Sohn, Younghoon & Oh, Juyoung & Lee, Joon Chae & Jung, Hae Won & Seo, Yutaek & Lim, Youngsub, 2022. "Prediction model of LNG weathering using net mass and heat transfer," Energy, Elsevier, vol. 247(C).
    5. Jin-Cherng Shyu & Tsuni Chang & Shun-Ching Lee, 2017. "A Numerical Study on Natural Convection Heat Transfer of Handheld Projectors with a Fin Array," Energies, MDPI, vol. 10(3), pages 1-17, February.

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