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Heat Transfer Coefficient Determination during FC-72 Flow in a Minichannel Heat Sink Using the Trefftz Functions and ADINA Software

Author

Listed:
  • Magdalena Piasecka

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

  • Beata Maciejewska

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

  • Paweł Łabędzki

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

Abstract

This work focuses on subcooled boiling heat transfer during flow in a minichannel heat sink with three or five minichannels of 1 mm depth. The heated element for FC-72 flowing along the minichannels was a thin foil of which temperature on the outer surface was measured due to the infrared thermography. The test section was oriented vertically or horizontally. A steady state heat transfer process and a laminar, incompressible flow of the fluid in a central minichannel were assumed. The heat transfer problem was described by the energy equations with an appropriate system of boundary conditions. Several mathematical methods were applied to solve the heat transfer problem with the Robin condition to determine the local heat transfer coefficients at the fluid/heated foil interface. Besides the 1D approach as a simple analytical method, a more sophisticated 2D approach was proposed with solutions by the Trefftz functions and ADINA software. Finite element method (FEM) calculations were conducted to find the temperature field in the flowing fluid and in the heated wall. The results were illustrated by graphs of local heated foil temperature and transfer coefficients as a function of the distance from the minichannel inlet. Temperature distributions in the heater and the fluid obtained from the FEM computations carried out by ADINA software were also shown. Similar values of the heat transfer coefficient were obtained in both the FEM calculations and the 1D approach. Example boiling curves indicating nucleation hysteresis are shown and discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:24:p:6647-:d:463173
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    References listed on IDEAS

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    1. Gabriela Rafałko & Iwona Zaborowska & Hubert Grzybowski & Romuald Mosdorf, 2020. "Boiling Synchronization in Two Parallel Minichannels—Image Analysis," Energies, MDPI, vol. 13(6), pages 1-9, March.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Piotr Duda & Mariusz Konieczny, 2020. "Experimental Verification of the Inverse Method of the Heat Transfer Coefficient Calculation," Energies, MDPI, vol. 13(6), pages 1-16, March.
    7. Jan Wajs & Michał Bajor & Dariusz Mikielewicz, 2019. "Thermal-Hydraulic Studies on the Shell-and-Tube Heat Exchanger with Minijets," Energies, MDPI, vol. 12(17), pages 1-12, August.
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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. Magdalena Piasecka, 2023. "Heat and Mass Transfer Issues in Mini-Gaps," Energies, MDPI, vol. 16(16), pages 1-6, August.
    3. Eloy Hontoria & Alejandro López-Belchí & Nolberto Munier & Francisco Vera-García, 2021. "A MCDM Methodology to Determine the Most Critical Variables in the Pressure Drop and Heat Transfer in Minichannels," Energies, MDPI, vol. 14(8), pages 1-13, April.
    4. 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.
    5. Varun Kumar & K. Chandan & K. V. Nagaraja & M. V. Reddy, 2022. "Heat Conduction with Krylov Subspace Method Using FEniCSx," Energies, MDPI, vol. 15(21), pages 1-16, October.
    6. 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.
    7. Piotr Duda, 2023. "Heat Transfer Coefficient Distribution—A Review of Calculation Methods," Energies, MDPI, vol. 16(9), pages 1-21, April.
    8. 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.

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