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Derivation and numerical case study of a one-dimensional, compressible-flow model of a novel free-piston Stirling engine

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  • de la Bat, B.J.G.
  • Harms, T.M.
  • Dobson, R.T.
  • Bell, A.J.

Abstract

Free-piston Stirling engines have in recent years attracted renewed interest worldwide for uses specifically relating to micro-combined heat and power generation. To aid prospective engine researchers with the modelling and analysis of such engines, this paper presents the derivation and numerical simulation of an exemplary, single-acting free-piston Stirling engine. A transient third-order theoretical model was derived from first principles, by discretising the working fluid and the regenerator metal-mesh into one-dimensional arrays of finite-sized control volumes. The working fluid transport equations and the non-linearised dynamic equations of the displacer and power piston were solved sequentially using a fully-explicit, transient numerical scheme with first-order upwind differencing. To demonstrate the usefulness of this model, sample simulation results are presented as a case study to the anticipated operation of a novel, 100 W engine prototype. Thereafter, a sensitivity study was conducted in which the power piston load, hot-end temperature and charge pressure was varied. From the sensitivity study, it is recommended that a control system be developed and implemented so as to ensure the steady oscillatory motion of both displacer and piston without collisions occurring.

Suggested Citation

  • de la Bat, B.J.G. & Harms, T.M. & Dobson, R.T. & Bell, A.J., 2020. "Derivation and numerical case study of a one-dimensional, compressible-flow model of a novel free-piston Stirling engine," Energy, Elsevier, vol. 199(C).
    • Handle: RePEc:eee:energy:v:199:y:2020:i:c:s0360544220305119
    DOI: 10.1016/j.energy.2020.117404
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    References listed on IDEAS

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    1. Ahmadi, Mohammad H. & Ahmadi, Mohammad-Ali & Pourfayaz, Fathollah, 2017. "Thermal models for analysis of performance of Stirling engine: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 68(P1), pages 168-184.
    2. Carrillo Caballero, Gaylord Enrique & Mendoza, Luis Sebastian & Martinez, Arnaldo Martin & Silva, Electo Eduardo & Melian, Vladimir Rafael & Venturini, Osvaldo José & del Olmo, Oscar Almazán, 2017. "Optimization of a Dish Stirling system working with DIR-type receiver using multi-objective techniques," Applied Energy, Elsevier, vol. 204(C), pages 271-286.
    3. Tavakolpour-Saleh, A.R. & Zare, SH. & Bahreman, H., 2017. "A novel active free piston Stirling engine: Modeling, development, and experiment," Applied Energy, Elsevier, vol. 199(C), pages 400-415.
    4. Wang, Kai & Dubey, Swapnil & Choo, Fook Hoong & Duan, Fei, 2016. "A transient one-dimensional numerical model for kinetic Stirling engine," Applied Energy, Elsevier, vol. 183(C), pages 775-790.
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    Cited by:

    1. Carmela Perozziello & Lavinia Grosu & Bianca Maria Vaglieco, 2021. "Free-Piston Stirling Engine Technologies and Models: A Review," Energies, MDPI, vol. 14(21), pages 1-22, October.
    2. Xiao, Gang & Qiu, Hao & Wang, Kai & Wang, Jintao, 2021. "Working mechanism and characteristics of gas parcels in the Stirling cycle," Energy, Elsevier, vol. 229(C).
    3. Chen, Pengfan & Yang, Peng & Liu, Liu & Liu, Yingwen, 2021. "Parametric investigation of the phase characteristics of a beta-type free piston Stirling engine based on a thermodynamic-dynamic coupled model," Energy, Elsevier, vol. 219(C).
    4. Qiu, Hao & Wang, Kai & Yu, Peifeng & Ni, Mingjiang & Xiao, Gang, 2021. "A third-order numerical model and transient characterization of a β-type Stirling engine," Energy, Elsevier, vol. 222(C).

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