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Optimized Cooling Power of a Vuilleumier Refrigerator with Limited Regeneration

Author

Listed:
  • Abdellah Khodja

    (Institut für Physik, Technische Universität Chemnitz, 09107 Chemnitz, Germany)

  • Raphael Paul

    (Institut für Physik, Technische Universität Chemnitz, 09107 Chemnitz, Germany)

  • Andreas Fischer

    (Institut für Physik, Technische Universität Chemnitz, 09107 Chemnitz, Germany)

  • Karl Heinz Hoffmann

    (Institut für Physik, Technische Universität Chemnitz, 09107 Chemnitz, Germany)

Abstract

Vuilleumier refrigerators provide cooling power by utilizing a heat source at temperatures above the ambient. This is particularly helpful in situations where waste heat is available and other power sources are limited. Vuilleumier refrigerators come in different technical configurations; here we analyze the thermodynamic performance of a configuration utilizing two displacer pistons with integrated regenerators. More specifically, we optimize the cooling power by optimizing the piston movement for a range of operation speeds. The optimization is based on the AS motion class for cyclic dynamics and uses an endoreversible model for the refrigerator. Our focus is on the influence of the regeneration extent present, and we find performance gains of about 17% for high regeneration extent and of about 28% for lower regeneration extent.

Suggested Citation

  • Abdellah Khodja & Raphael Paul & Andreas Fischer & Karl Heinz Hoffmann, 2021. "Optimized Cooling Power of a Vuilleumier Refrigerator with Limited Regeneration," Energies, MDPI, vol. 14(24), pages 1-21, December.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:24:p:8376-:d:700680
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    References listed on IDEAS

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    1. Chen, Hanfei & Lin, ChihChieh & Longtin, Jon P., 2019. "Dynamic modeling and parameter optimization of a free-piston Vuilleumier heat pump with dwell-based motion," Applied Energy, Elsevier, vol. 242(C), pages 741-751.
    2. Mathias Scheunert & Robin Masser & Abdellah Khodja & Raphael Paul & Karsten Schwalbe & Andreas Fischer & Karl Heinz Hoffmann, 2020. "Power-Optimized Sinusoidal Piston Motion and Its Performance Gain for an Alpha-Type Stirling Engine with Limited Regeneration," Energies, MDPI, vol. 13(17), pages 1-19, September.
    3. Michel Feidt & Monica Costea & Renaud Feidt & Quentin Danel & Christelle Périlhon, 2020. "New Criteria to Characterize the Waste Heat Recovery," Energies, MDPI, vol. 13(4), pages 1-15, February.
    4. Raphael Paul & Karl Heinz Hoffmann, 2021. "A Class of Reduced-Order Regenerator Models," Energies, MDPI, vol. 14(21), pages 1-25, November.
    5. Shi, Peng & Wang, Lin-Shu & Schwartz, Paul & Hofbauer, Peter, 2020. "State-wide comparative analysis of the cost saving potential of Vuilleumier heat pumps in residential houses," Applied Energy, Elsevier, vol. 277(C).
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    Cited by:

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    2. Pengchao Zang & Lingen Chen & Yanlin Ge, 2022. "Maximizing Efficient Power for an Irreversible Porous Medium Cycle with Nonlinear Variation of Working Fluid’s Specific Heat," Energies, MDPI, vol. 15(19), pages 1-12, September.

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