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A Class of Reduced-Order Regenerator Models

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  • Raphael Paul

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

  • Karl Heinz Hoffmann

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

Abstract

We present a novel class of reduced-order regenerator models that is based on Endoreversible Thermodynamics. The models rest upon the idea of an internally reversible (perfect) regenerator, even though they are not limited to the reversible description. In these models, the temperatures of the working gas that alternately streams out on the regenerator’s hot and cold sides are defined as functions of the state of the regenerator matrix. The matrix is assumed to feature a linear spatial temperature distribution. Thus, the matrix has only two degrees of freedom that can, for example, be identified with its energy and entropy content. The dynamics of the regenerator is correspondingly expressed in terms of balance equations for energy and entropy. Internal irreversibilities of the regenerator can be accounted for by introducing source terms to the entropy balance equation. Compared to continuum or nodal regenerator models, the number of degrees of freedom and numerical effort are reduced considerably. As will be shown, instead of the obvious choice of variables energy and entropy, if convenient, a different pair of variables can be used to specify the state of the regenerator matrix and formulate the regenerator’s dynamics. In total, we will discuss three variants of this endoreversible regenerator model, which we will refer to as ES , EE , and EEn -regenerator models.

Suggested Citation

  • Raphael Paul & Karl Heinz Hoffmann, 2021. "A Class of Reduced-Order Regenerator Models," Energies, MDPI, vol. 14(21), pages 1-25, November.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:21:p:7295-:d:671734
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    References listed on IDEAS

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    1. Dumitrascu Gheorghe & Feidt Michel & Popescu Aristotel & Grigorean Stefan, 2019. "Endoreversible Trigeneration Cycle Design Based on Finite Physical Dimensions Thermodynamics," Energies, MDPI, vol. 12(16), pages 1-21, August.
    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. Marco A. Barranco-Jiménez & Israel Ramos-Gayosso & Marco A. Rosales & Fernando Angulo-Brown, 2009. "A Proposal of Ecologic Taxes Based on Thermo-Economic Performance of Heat Engine Models," Energies, MDPI, vol. 2(4), pages 1-15, November.
    5. Shuangshuang Shi & Yanlin Ge & Lingen Chen & Huijun Feng, 2021. "Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Atkinson Cycle with Nonlinear Variation of Working Fluid’s Specific Heat," Energies, MDPI, vol. 14(14), pages 1-23, July.
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    Cited by:

    1. 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.
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