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Time-Dependent Heat Transfer Calculations with Trefftz and Picard Methods for Flow Boiling in a Mini-Channel Heat Sink

Author

Listed:
  • Magdalena Piasecka

    (Faculty of Mechatronics and Mechanical Engineering, Kielce University of Technology, 25-314 Kielce, Poland)

  • Sylwia Hożejowska

    (Faculty of Management and Computer Modelling, Kielce University of Technology, 25-314 Kielce, Poland)

  • Beata Maciejewska

    (Faculty of Management and Computer Modelling, Kielce University of Technology, 25-314 Kielce, Poland)

  • Anna Pawińska

    (Faculty of Management and Computer Modelling, Kielce University of Technology, 25-314 Kielce, Poland)

Abstract

The intensification of heat transfer using two-phase boiling flow in mini-channels is widely used to dissipate the high heat fluxes in miniaturized electronic devices. However, the process itself is not fully recognized and still requires experimental studies and developing computation methods appropriate for them. The main aim of this work was the mathematical modeling of time-dependent heat transfer process in FC-72 flow boiling in a mini-channel heat sink with five parallel mini-channels of 1 mm depth. Channels have an asymmetrically heated wall while its outer temperature was measured by infrared thermography. The opposite wall of the mini-channels was transparent, helping to record flow patterns due to a high-speed digital camera. The objective of the numerical calculations was to determine the heat transfer coefficient on the wall-fluid contact surface from the Robin boundary condition. The problem was solved using methods based on the Trefftz-type functions. Three mathematical methods were applied in calculations: the FEM with Trefftz type basis functions, the Classical Trefftz Method, and the Hybrid Picard-Trefftz Method. The results were compared with the values of the heat transfer coefficient obtained from theoretical correlations from the literature.

Suggested Citation

  • Magdalena Piasecka & Sylwia Hożejowska & Beata Maciejewska & Anna Pawińska, 2021. "Time-Dependent Heat Transfer Calculations with Trefftz and Picard Methods for Flow Boiling in a Mini-Channel Heat Sink," Energies, MDPI, vol. 14(7), pages 1-24, March.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:7:p:1832-:d:523979
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    References listed on IDEAS

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    1. Magdalena Piasecka & Beata Maciejewska & Paweł Łabędzki, 2020. "Heat Transfer Coefficient Determination during FC-72 Flow in a Minichannel Heat Sink Using the Trefftz Functions and ADINA Software," Energies, MDPI, vol. 13(24), pages 1-25, December.
    2. Łukasz J. Orman & Norbert Radek & Jacek Pietraszek & Marcin Szczepaniak, 2020. "Analysis of Enhanced Pool Boiling Heat Transfer on Laser—Textured Surfaces," Energies, MDPI, vol. 13(11), pages 1-19, May.
    3. Mirosław Grabowski & Sylwia Hożejowska & Anna Pawińska & Mieczysław E. Poniewski & Jacek Wernik, 2018. "Heat Transfer Coefficient Identification in Mini-Channel Flow Boiling with the Hybrid Picard–Trefftz Method," Energies, MDPI, vol. 11(8), pages 1-13, August.
    4. Mirosław Grabowski & Sylwia Hożejowska & Beata Maciejewska & Krzysztof Płaczkowski & Mieczysław E. Poniewski, 2020. "Application of the 2-D Trefftz Method for Identification of Flow Boiling Heat Transfer Coefficient in a Rectangular MiniChannel," Energies, MDPI, vol. 13(15), pages 1-14, August.
    5. Sylwia Hożejowska & Magdalena Piasecka, 2020. "Numerical Solution of Axisymmetric Inverse Heat Conduction Problem by the Trefftz Method," Energies, MDPI, vol. 13(3), pages 1-14, February.
    6. Marek Jaszczur & Anna Młynarczykowska & Luana Demurtas, 2020. "Effect of Impeller Design on Power Characteristics and Newtonian Fluids Mixing Efficiency in a Mechanically Agitated Vessel at Low Reynolds Numbers," Energies, MDPI, vol. 13(3), pages 1-19, February.
    7. Damian Joachimiak & Andrzej Frąckowiak, 2020. "Experimental and Numerical Analysis of the Gas Flow in the Axisymmetric Radial Clearance," Energies, MDPI, vol. 13(21), pages 1-13, November.
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    Cited by:

    1. Magdalena Piasecka & Sylwia Hożejowska & Anna Pawińska & Dariusz Strąk, 2022. "Heat Transfer Analysis of a Co-Current Heat Exchanger with Two Rectangular Mini-Channels," Energies, MDPI, vol. 15(4), pages 1-19, February.
    2. Magda Joachimiak, 2021. "Analysis of Thermodynamic Parameter Variability in a Chamber of a Furnace for Thermo-Chemical Treatment," Energies, MDPI, vol. 14(10), pages 1-18, May.
    3. Magdalena Piasecka & Beata Maciejewska & Artur Piasecki, 2023. "Heat Transfer Calculations during Flow in Mini-Channels with Estimation of Temperature Uncertainty Measurements," Energies, MDPI, vol. 16(3), pages 1-19, January.
    4. Magdalena Piasecka & Kinga Strąk, 2021. "Characteristics of Refrigerant Boiling Heat Transfer in Rectangular Mini-Channels during Various Flow Orientations," Energies, MDPI, vol. 14(16), pages 1-30, August.

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