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Experimental Verification of an Analytical Mathematical Model of a Round or Oval Tube Two-Row Car Radiator

Author

Listed:
  • Dawid Taler

    (Department of Thermal Processes, Air Protection, and Waste Utilization, Cracow University of Technology, 31-155 Cracow, Poland)

  • Jan Taler

    (Institute of Thermal Power Engineering, Cracow University of Technology, 31-864 Cracow, Poland)

  • Marcin Trojan

    (Department of Thermal Processes, Air Protection, and Waste Utilization, Cracow University of Technology, 31-155 Cracow, Poland)

Abstract

The paper presents an analytical mathematical model of a car radiator, which takes into account various heat transfer coefficients (HTCs) on each row of pipes. The air-side HTCs in a specific row of pipes in the first and second passes were calculated using equations for the Nusselt number, which were determined by CFD simulation by the ANSYS program (Version 19.1, Ansys Inc., Canonsburg, PA, USA). The liquid flow in the pipes can be laminar, transition, or turbulent. When changing the flow form from laminar to transition and from transition to turbulent, the HTC continuity is maintained. Mathematical models of two radiators were developed, one of which was made of round tubes and the other of oval tubes. The model allows for the calculation of the thermal output of every row of pipes in both passes of the heat exchangers. Small relative differences between the total heat flow transferred in the heat exchanger from hot water to cool air exist for different and uniform HTCs. However, the heat flow rate in the first row is much higher than the heat flow in the second row if the air-side HTCs are different for each row compared to a situation where the HTC is constant throughout the heat exchanger. The thermal capacities of both radiators calculated using the developed mathematical model were compared with the results of experimental studies. The plate-fin and tube heat exchanger (PFTHE) modeling procedure developed in the article does not require the use of empirical correlations to calculate HTCs on both sides of the pipes. The suggested method of calculating plate-fin and tube heat exchangers, taking into account the different air-side HTCs estimated using CFD modelling, may significantly reduce the cost of experimental research for a new design of heat exchangers implemented in manufacturing.

Suggested Citation

  • Dawid Taler & Jan Taler & Marcin Trojan, 2020. "Experimental Verification of an Analytical Mathematical Model of a Round or Oval Tube Two-Row Car Radiator," Energies, MDPI, vol. 13(13), pages 1-23, July.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:13:p:3399-:d:379382
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    References listed on IDEAS

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    1. Halıcı, Fethi & Taymaz, İmdat & Gündüz, Mehmet, 2001. "The effect of the number of tube rows on heat, mass and momentum transfer in flat-plate finned tube heat exchangers," Energy, Elsevier, vol. 26(11), pages 963-972.
    2. Taler, Dawid & Taler, Jan & Trojan, Marcin, 2020. "Thermal calculations of plate–fin–and-tube heat exchangers with different heat transfer coefficients on each tube row," Energy, Elsevier, vol. 203(C).
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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.
    2. Węglarz, Katarzyna & Taler, Dawid & Taler, Jan, 2022. "New non-iterative method for computation of tubular cross-flow heat exchangers," Energy, Elsevier, vol. 260(C).
    3. Azeez mohammed Hussein, Hind & Zulkifli, Rozli & Faizal Bin Wan Mahmood, Wan Mohd & Ajeel, Raheem K., 2022. "Structure parameters and designs and their impact on performance of different heat exchangers: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 154(C).
    4. Marcin Łęcki & Dariusz Andrzejewski & Artur N. Gutkowski & Grzegorz Górecki, 2021. "Study of the Influence of the Lack of Contact in Plate and Fin and Tube Heat Exchanger on Heat Transfer Efficiency under Periodic Flow Conditions," Energies, MDPI, vol. 14(13), pages 1-25, June.

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