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A two-phase single-reciprocating-piston heat conversion engine: Non-linear dynamic modelling

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  • Kirmse, Christoph J.W.
  • Oyewunmi, Oyeniyi A.
  • Taleb, Aly I.
  • Haslam, Andrew J.
  • Markides, Christos N.

Abstract

A non-linear dynamic framework is presented for the modelling of a novel two-phase heat engine termed ‘Up-THERM’, which features a single solid moving-part (piston). When applied across the device, a constant temperature difference between an external (low- to medium-grade) heat source and an external heat sink is converted into sustained and persistent oscillations of pressure and volumetric fluid displacement. These oscillations are transformed in a load arrangement into a unidirectional flow from which power is extracted by a hydraulic motor. The Up-THERM engine is modelled using a system of first-order differential equations that describe the dominant thermal/fluid processes in each component of the device. For certain components where the deviations from a linear approximation are non-negligible (gas spring in the displacer cylinder, check valves and piston valve, and heat exchangers), a non-linear description is employed. A comparison between the linear and non-linear descriptions of the gas spring at the top of the displacer cylinder reveals that the non-linear description results in more realistic predictions of the oscillation frequency compared to experimental data from a similar device. Furthermore, the shape of the temperature profile over the heat-exchanger surfaces is modelled as following a hyperbolic tangent function, based on findings from an experimental investigation. Following the validation of these important device components, a parametric study is performed on the Up-THERM engine model with the aforementioned non-linear component descriptions, aimed at investigating the effects of important geometric parameters and of the heat-source temperature on key performance indicators, namely the oscillation frequency, power output and exergy efficiency of the engine. The results indicate that the geometric design of the displacer cylinder, including the height of the gas spring at the top of the cylinder, and the heat-source temperature have the most significant influence on the performance of the engine. A maximum exergy efficiency of 2.8% and a maximum power output of 175W are observed at the proposed operating temperature of 450°C for a nominal Up-THERM design (based on the physical dimensions of a device prototype and water as the working fluid; the role of the working fluid is explored in follow-up paper Ref. [1]) but with shorter displacer cylinder gas-spring lengths relative to a nominal design. The results and insight can assist the further development of this technology, in particular as a prime mover in combined heat and power applications.

Suggested Citation

  • Kirmse, Christoph J.W. & Oyewunmi, Oyeniyi A. & Taleb, Aly I. & Haslam, Andrew J. & Markides, Christos N., 2017. "A two-phase single-reciprocating-piston heat conversion engine: Non-linear dynamic modelling," Applied Energy, Elsevier, vol. 186(P3), pages 359-375.
    • Handle: RePEc:eee:appene:v:186:y:2017:i:p3:p:359-375
    DOI: 10.1016/j.apenergy.2016.05.140
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    References listed on IDEAS

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    1. Bhattacharyya, Subhes C., 2009. "Fossil-fuel dependence and vulnerability of electricity generation: Case of selected European countries," Energy Policy, Elsevier, vol. 37(6), pages 2411-2420, June.
    2. Oyewunmi, Oyeniyi A. & Kirmse, Christoph J.W. & Haslam, Andrew J. & Müller, Erich A. & Markides, Christos N., 2017. "Working-fluid selection and performance investigation of a two-phase single-reciprocating-piston heat-conversion engine," Applied Energy, Elsevier, vol. 186(P3), pages 376-395.
    3. Taleb, Aly I. & Timmer, Michael A.G. & El-Shazly, Mohamed Y. & Samoilov, Aleksandr & Kirillov, Valeriy A. & Markides, Christos N., 2016. "A single-reciprocating-piston two-phase thermofluidic prime-mover," Energy, Elsevier, vol. 104(C), pages 250-265.
    4. Markides, Christos N. & Gupta, Ajay, 2013. "Experimental investigation of a thermally powered central heating circulator: Pumping characteristics," Applied Energy, Elsevier, vol. 110(C), pages 132-146.
    5. Solanki, Roochi & Mathie, Richard & Galindo, Amparo & Markides, Christos N., 2013. "Modelling of a two-phase thermofluidic oscillator for low-grade heat utilisation: Accounting for irreversible thermal losses," Applied Energy, Elsevier, vol. 106(C), pages 337-354.
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    Cited by:

    1. Tan, Jingqi & Luo, Jiaqi & Huang, Jiale & Wei, Jianjian & Jin, Tao, 2020. "A closed two-phase thermofluidic oscillator with zeotropic mixtures for low-grade heat recovery," Energy, Elsevier, vol. 211(C).
    2. Steven Lecompte & Oyeniyi A. Oyewunmi & Christos N. Markides & Marija Lazova & Alihan Kaya & Martijn Van den Broek & Michel De Paepe, 2017. "Case Study of an Organic Rankine Cycle (ORC) for Waste Heat Recovery from an Electric Arc Furnace (EAF)," Energies, MDPI, vol. 10(5), pages 1-16, May.
    3. Alexander Kronberg & Maxim Glushenkov & Sander Roosjen & Sascha Kersten, 2023. "Isobaric Expansion Engines–Compressors: Thermodynamic Analysis of Multistage Vapor Driven Compressors," Energies, MDPI, vol. 16(19), pages 1-15, September.
    4. White, M.T. & Oyewunmi, O.A. & Chatzopoulou, M.A. & Pantaleo, A.M. & Haslam, A.J. & Markides, C.N., 2018. "Computer-aided working-fluid design, thermodynamic optimisation and thermoeconomic assessment of ORC systems for waste-heat recovery," Energy, Elsevier, vol. 161(C), pages 1181-1198.
    5. Chatzopoulou, Maria Anna & Markides, Christos N., 2018. "Thermodynamic optimisation of a high-electrical efficiency integrated internal combustion engine – Organic Rankine cycle combined heat and power system," Applied Energy, Elsevier, vol. 226(C), pages 1229-1251.
    6. Maxim Glushenkov & Alexander Kronberg & Torben Knoke & Eugeny Y. Kenig, 2018. "Isobaric Expansion Engines: New Opportunities in Energy Conversion for Heat Engines, Pumps and Compressors," Energies, MDPI, vol. 11(1), pages 1-22, January.
    7. Tan, Jingqi & Wei, Jianjian & Jin, Tao, 2020. "Electrical-analogy network model of a modified two-phase thermofluidic oscillator with regenerator for low-grade heat recovery," Applied Energy, Elsevier, vol. 262(C).
    8. Emadi, Mohammad Ali & Chitgar, Nazanin & Oyewunmi, Oyeniyi A. & Markides, Christos N., 2020. "Working-fluid selection and thermoeconomic optimisation of a combined cycle cogeneration dual-loop organic Rankine cycle (ORC) system for solid oxide fuel cell (SOFC) waste-heat recovery," Applied Energy, Elsevier, vol. 261(C).
    9. Sindhu Preetham Burugupally & Leland Weiss, 2018. "Power Generation via Small Length Scale Thermo-Mechanical Systems: Current Status and Challenges, a Review," Energies, MDPI, vol. 11(9), pages 1-22, August.
    10. Ahmadi, Rouhollah & Jokar, H. & Motamedi, Mahmoud, 2018. "A solar pressurizable liquid piston stirling engine: Part 2, optimization and development," Energy, Elsevier, vol. 164(C), pages 1200-1215.
    11. Nikunj Gangar & Sandro Macchietto & Christos N. Markides, 2020. "Recovery and Utilization of Low-Grade Waste Heat in the Oil-Refining Industry Using Heat Engines and Heat Pumps: An International Technoeconomic Comparison," Energies, MDPI, vol. 13(10), pages 1-29, May.
    12. Oyewunmi, Oyeniyi A. & Kirmse, Christoph J.W. & Haslam, Andrew J. & Müller, Erich A. & Markides, Christos N., 2017. "Working-fluid selection and performance investigation of a two-phase single-reciprocating-piston heat-conversion engine," Applied Energy, Elsevier, vol. 186(P3), pages 376-395.
    13. van Kleef, Luuk M.T. & Oyewunmi, Oyeniyi A. & Markides, Christos N., 2019. "Multi-objective thermo-economic optimization of organic Rankine cycle (ORC) power systems in waste-heat recovery applications using computer-aided molecular design techniques," Applied Energy, Elsevier, vol. 251(C), pages 1-1.
    14. Pantaleo, Antonio M. & Fordham, Julia & Oyewunmi, Oyeniyi A. & De Palma, Pietro & Markides, Christos N., 2018. "Integrating cogeneration and intermittent waste-heat recovery in food processing: Microturbines vs. ORC systems in the coffee roasting industry," Applied Energy, Elsevier, vol. 225(C), pages 782-796.
    15. Chowdhury, Jahedul Islam & Hu, Yukun & Haltas, Ismail & Balta-Ozkan, Nazmiye & Matthew, George Jr. & Varga, Liz, 2018. "Reducing industrial energy demand in the UK: A review of energy efficiency technologies and energy saving potential in selected sectors," Renewable and Sustainable Energy Reviews, Elsevier, vol. 94(C), pages 1153-1178.

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