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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. Erol, Derviş, 2024. "An experimental comparative study of the effects on the engine performance of using three different motion mechanisms in a beta-configuration Stirling engine," Energy, Elsevier, vol. 293(C).
    4. 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).
    5. 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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