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Nusselt Number Correlation for Vertical Tubes with Inverted Triangular Fins under Natural Convection

Author

Listed:
  • Byeong Dong Kang

    (Department of Mechanical Engineering, Ajou University, Suwon 443-749, Korea)

  • Hyun Jung Kim

    (Department of Mechanical Engineering, Ajou University, Suwon 443-749, Korea)

  • Dong-Kwon Kim

    (Department of Mechanical Engineering, Ajou University, Suwon 443-749, Korea)

Abstract

Vertical tubes with inverted triangular fins under natural convection are investigated experimentally. The thermal resistances of tubes with inverted triangular fins are measured for various fin numbers, fin heights, and heat inputs. A Nusselt number correlation that best predicts the measured thermal resistances is proposed. The proposed correlation is applicable to the following conditions: Rayleigh numbers of 1000–125,000, fin height to fin length ratios of 0.2–0.6, and fin numbers of 9–72. Finally, a contour map of the thermal resistances calculated from the proposed correlation for various fin thicknesses and fin numbers is presented. The contour map shows that there exist optimal values of the fin thickness and fin number at which the thermal resistance of the inverted-triangular-finned tube is minimized. Therefore, the proposed correlation enables a search for the optimal dimensions and has potential to be used in the designing of inverted-triangular-finned tubes of various cooling devices.

Suggested Citation

  • Byeong Dong Kang & Hyun Jung Kim & Dong-Kwon Kim, 2017. "Nusselt Number Correlation for Vertical Tubes with Inverted Triangular Fins under Natural Convection," Energies, MDPI, vol. 10(8), pages 1-13, August.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:8:p:1183-:d:107726
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    References listed on IDEAS

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    1. Jang, Daeseok & Yook, Se-Jin & Lee, Kwan-Soo, 2014. "Optimum design of a radial heat sink with a fin-height profile for high-power LED lighting applications," Applied Energy, Elsevier, vol. 116(C), pages 260-268.
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    Cited by:

    1. Igor V. Miroshnichenko & Mikhail A. Sheremet & Abdulmajeed A. Mohamad, 2019. "The Influence of Surface Radiation on the Passive Cooling of a Heat-Generating Element," Energies, MDPI, vol. 12(6), pages 1-14, March.
    2. Gu-Won Lee & Hyun Jung Kim & Dong-Kwon Kim, 2018. "Experimental Study on Horizontal Cylinders with Triangular Fins under Natural Convection," Energies, MDPI, vol. 11(4), pages 1-15, April.

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