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A solar pressurizable liquid piston stirling engine: Part 1, mathematical modeling, simulation and validation

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  • Motamedi, Mahmoud
  • Ahmadi, Rouhollah
  • Jokar, H.

Abstract

This paper describes the comprehensive mathematical modeling, simulation and finally validation the developed dynamic equations of a pressurizable liquid piston Stirling engine. The proposed system comprises of the main following components: solar fresnel lens, hot, cold and tuning liquid columns, regenerator, solid pressure intensifier, liquid power piston and output water column. The mathematical modeling of the proposed system is divided into distinct parts, including dynamic of working gas pressure, hot, cold and tuning liquid columns and dynamic of the output part of the system. The obtained dynamic differential equations are rewritten to nine first order differential equations and solved employing 4th order Runge-Kutta numerical method. The pumping head of 1.5 m, the hot and cold side temperature of 100 °C and 20 °C, respectively and zero dead volumes are considered. It is obtained that the working gas pressure has the oscillatory behavior between two upper and lower points, frequently. According to the oscillatory dynamic of working gas pressure, when the working gas pressure is high enough, it can push the liquid power piston to overcome the static pressure of the output column of the pump and finally the water pumping occurs.

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  • Motamedi, Mahmoud & Ahmadi, Rouhollah & Jokar, H., 2018. "A solar pressurizable liquid piston stirling engine: Part 1, mathematical modeling, simulation and validation," Energy, Elsevier, vol. 155(C), pages 796-814.
    • Handle: RePEc:eee:energy:v:155:y:2018:i:c:p:796-814
    DOI: 10.1016/j.energy.2018.05.002
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    References listed on IDEAS

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    Cited by:

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    2. Zare, Shahryar & Tavakolpour-saleh, A.R. & Aghahosseini, A. & Sangdani, M.H. & Mirshekari, Reza, 2021. "Design and optimization of Stirling engines using soft computing methods: A review," Applied Energy, Elsevier, vol. 283(C).
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    5. Ngangué, Max Ndamé & Stouffs, Pascal, 2020. "Dynamic simulation of an original Joule cycle liquid pistons hot air Ericsson engine," Energy, Elsevier, vol. 190(C).
    6. Langdon-Arms, Samuel & Gschwendtner, Michael & Neumaier, Martin, 2018. "A novel solar-powered liquid piston Stirling refrigerator," Applied Energy, Elsevier, vol. 229(C), pages 603-613.
    7. Shokri Kalan, Ali & Heidarabadi, Shadab & Khaleghi, Mohammad & Ghiasirad, Hamed & Skorek-Osikowska, Anna, 2023. "Biomass-to-energy integrated trigeneration system using supercritical CO2 and modified Kalina cycles: Energy and exergy analysis," Energy, Elsevier, vol. 270(C).
    8. Rahmati, A. & Varedi-Koulaei, S.M. & Ahmadi, M.H. & Ahmadi, H., 2022. "Dynamic synthesis of the alpha-type stirling engine based on reducing the output velocity fluctuations using Metaheuristic algorithms," Energy, Elsevier, vol. 238(PB).

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