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Calculating the Efficiency of Complex-Shaped Fins

Author

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  • Mateusz Marcinkowski

    (Faculty of Environmental Engineering and Energy, Cracow University of Technology, Warszawska 24, 31-155 Cracow, Poland)

  • Dawid Taler

    (Faculty of Environmental Engineering and Energy, Cracow University of Technology, Warszawska 24, 31-155 Cracow, Poland)

Abstract

Calculation of fin efficiency is necessary for the design of heat exchangers. This efficiency can be calculated for individual finned tubes or continuous fins. Continuous fins are mostly used in plate-fin and tube heat exchangers (PFTHEs). In most cases, the basic elements of those PFTHEs are circular, oval or flattened pipes, which contain circular or polygonal fins. Continuous fins, as can be observed in PFTHEs, are divided into virtual fins. Those fins can have a rectangular shape for an inline arrangement of pipes or a hexagonal shape for a staggered arrangement of pipes. This research shows a methodology of using the finite element method for calculating the efficiency of fins of any shape, placed on pipes of any shape. This paper presents examples of determining the efficiency of seeming fins, which are most commonly used in PFTHEs. In the article, we also compare the precision of calculations of the efficiency of complex-shaped fins using exact analytical methods and approximated methods: the equivalent circular fin method (Schmidt’s method) and the sector method. The results of the analytical methods and the approximate methods are compared to the results of numerical simulations. The calculations for continuous fins with complicated shapes of virtual fins, e.g., hexagonal elongated or segmented, are also presented.

Suggested Citation

  • Mateusz Marcinkowski & Dawid Taler, 2021. "Calculating the Efficiency of Complex-Shaped Fins," Energies, MDPI, vol. 14(3), pages 1-14, January.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:3:p:577-:d:485741
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    References listed on IDEAS

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    1. Nakhchi, M.E. & Hatami, M. & Rahmati, M., 2021. "A numerical study on the effects of nanoparticles and stair fins on performance improvement of phase change thermal energy storages," Energy, Elsevier, vol. 215(PA).
    2. Heran Jing & Zhenhua Quan & Yaohua Zhao & Lincheng Wang & Ruyang Ren & Zichu Liu, 2020. "Thermal Performance and Energy Saving Analysis of Indoor Air–Water Heat Exchanger Based on Micro Heat Pipe Array for Data Center," Energies, MDPI, vol. 13(2), pages 1-24, January.
    3. Mladen Bošnjaković & Simon Muhič & Ante Čikić & Marija Živić, 2019. "How Big Is an Error in the Analytical Calculation of Annular Fin Efficiency?," Energies, MDPI, vol. 12(9), pages 1-18, May.
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    Cited by:

    1. Mateusz Marcinkowski & Dawid Taler & Jan Taler & Katarzyna Węglarz, 2021. "Thermal Calculations of Four-Row Plate-Fin and Tube Heat Exchanger Taking into Account Different Air-Side Correlations on Individual Rows of Tubes for Low Reynold Numbers," Energies, MDPI, vol. 14(21), pages 1-13, October.

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