PHYSICAL PROPERTIES OF A FREE-PISTON STIRLING ENGINE WITH A REVERSIBLE CHEMICAL REACTION OF DIOXSIDE NITROGEN  TETRAOXSIDE NITROGEN IN THE WORKING GAS

K.O. Sabdenov; G.K. Konysbekova

doi:10.31489/2026N1/34-47

Authors

DOI:

https://doi.org/10.31489/2026N1/34-47

Keywords:

free-piston Stirling engine, working gas with a reversible chemical reaction, nitrogen dioxide and nitrogen tetroxide.

Abstract

Simulation is used to study the properties of a free-piston Stirling engine in the isothermal approximation. The working substance is a chemically reacting gas mixture, in which mutual conversion of nitrogen dioxide and nitrogen tetroxide can occur in the reversible reaction 2NO₂ « N₂O₄. In the cooler, the exothermic reaction 2NO₂ ® N₂O₄ occurs, in the heater at a high temperature, the endothermic reaction N₂O₄ ® 2NO₂ occurs. Two cases are compared: 1) the above chemical reaction occurs in the working gas, and 2) the working gas is chemically inert. The engine efficiency h_eng is higher in the first case over the range of heater temperature change from 90 to 130 °C, and where h_eng increases from 0.345 to 0.383. In this case, h_eng turns out to be higher than that calculated using the Carnot formula with the same maximum and minimum temperatures. High efficiency is achieved thanks to the engine's ability to produce negative E. Schrödinger entropy.

References

1 Sabdenov K. O. (2021) The thermodynamic Brayton cycle with a reversible chemical reaction. Tech. Phys., 66, 1275–1283. https://doi.org/10.1134/S1063784221090164 DOI: https://doi.org/10.1134/S1063784221090164

2 Sabdenov K. (2023) The Thermodynamics Cycles with a Reversible Chemical Reaction. Americ. Journ. Modern Phys., 12 (2), 1420. https://doi.org/10.11648/j.ajmp.20231202.11 DOI: https://doi.org/10.11648/j.ajmp.20231202.11

3 Vialaron A. (1981) Chemical Storage and Pumping of Solar Energy. In: den Ouden, C. (eds) Thermal Storage of Solar Energy. Springer, Dordrecht., 295–307. https://doi.org/10.1007/978-94-009-8302-1_29 DOI: https://doi.org/10.1007/978-94-009-8302-1_29

4 Williams O. M. (1980) A comparison of reversible chemical reactions for solar thermochemical power generation. Revue Phys. Appl., 15 (3), 453. https://doi.org/10.1051/rphysap:01980001503045300 DOI: https://doi.org/10.1051/rphysap:01980001503045300

5 Egenolf-Jonkmanns B., Bruzzano St., Deerberg G. (2012) Low temperature chemical reaction systems for thermal storage. Energy Procedia, 30, 235. https://doi.org/10.1016/j.egypro.2012.11.028 DOI: https://doi.org/10.1016/j.egypro.2012.11.028

6 Jun Li, T. Zeng, N. (2019) Kobayashi, et all. Lithium Hydroxide Reaction for Low Temperature Chemical Heat Storage: Hydration and Dehydration Reaction. Energies, 12(19), 3741. https://doi.org/10.3390/en12193741 DOI: https://doi.org/10.3390/en12193741

7 Chen R, Deng S, Xu W, Zhao L. (2019) A graphic analysis method of electrochemical systems for low-grade heat harvesting from a perspective of thermodynamic cycles. Energy, 191, 116547, https://doi.org/10.1016/j.energy.2019.116547 DOI: https://doi.org/10.1016/j.energy.2019.116547

8 Ruihua Chen, Weicong Xu, Shuai Deng, Ruikai Zha, Siyoung Q. Choi, Li Zhao. (2023) Towards the Carnot efficiency with a novel electrochemical heat engine based on the Carnot cycle: Thermodynamic considerations. Energy, 284, 128577. https://doi.org/10.1016/j.energy.2023.128577 DOI: https://doi.org/10.1016/j.energy.2023.128577

9 Scot T. Martin. (2025) Molar Heat Capacity for Graphical Pedagogy Applied to Heat Engines, Refrigerators, and Heat Pumps Driven by Chemical Change. Journal of Physical Chemistry A., 129 (46), 10762-10770. https://doi.org/10.1021/acs.jpca.5c04285 DOI: https://doi.org/10.1021/acs.jpca.5c04285

10 Kovtun I. M., Naumov A. N., Nesterenko V. B. (1967) Stirling cycle on dissociating gas. Bulletin of the Academy of Sciences of the BSSR, Series of physical and technical sciences [in Russian]. 1, 5257.

11 Metwally M.M., Walker G. (1977) Stirling engines with a chemically reactive working fluid — some thermodynamic effects. Journal Eng. Power, 99 (2), 284–287. https://doi.org/10.1115/1.3446287 DOI: https://doi.org/10.1115/1.3446287

12 Langlois, Justin L. R. (2006) Dynamic computer model of a Stirling space nuclear power system. Trident Scholar project report no. 345. – Annapolis: US Naval Academy, https://citeseerx.ist.psu.edu/document?repid =rep1&type=pdf&doi=cd482348cc9b1fe3d06ae79d3e5e64f9e78ca0b7

13 Wong H.M, Goh S.Y. (2020) Experimental comparison of sinusoidal motion and non-sinusoidal motion of rise-dwell-fall-dwell in a Stirling engine. Journ. Mech. Eng., Sci., (JMES)., 14 (3), 6971–6981. DOI: https://doi.org/10.15282/jmes.14.3.2020.01.0546

14 Snyman H., Harms T., and Strauss J. (2008) Design analysis methods for Stirling engines. Journal of Energy in Southern Africa, 19 (13), 4–19. https://doi.org/10.17159/2413-3051/2008/v19i3a3329 DOI: https://doi.org/10.17159/2413-3051/2008/v19i3a3329

15 Salem Ghozzi, R. Boukhanouf. (2015) Computer Modeling of a Novel Mechanical Arrangement of a Free-Piston Stirling Engine. Journ. Clean Ener. Techn., 3 (2), 140–144. https://doi:10.7763/JOCET.2015.V3.184 DOI: https://doi.org/10.7763/JOCET.2015.V3.184

16 Sutapat Kwankaomeng, Banterng Silpsakoolsook, Pongnarin Savangvong. (2014) Investigation on Stability and Performance of a Free-Piston Stirling Engine. Energy Procedia., 52, 598–609. DOI: https://doi.org/10.1016/j.egypro.2014.07.115

17 Farid Z. M., Faiz R. M., Rosli A. B. and Kumaran K. (2018) Thermodynamic performance prediction of rhombic-drive beta-configuration Stirling engine. 1st International Postgraduate Conference on Mechanical Engineering (IPCME 2018). https://doi:10.1088/1757-899X/469/1/012048 DOI: https://doi.org/10.1088/1757-899X/469/1/012048

18 Dovgyallo A. I., Nekrasova S. O., Sarmin D. V., Pulkina A. Yu. (2020) Free piston pulse tube engine: a numerical and experimental power generation estimation. Journal of Physics: Conference Series, 1565 (1):012100. https://doi.org/10.1088/1742-6596/1565/1/012100 DOI: https://doi.org/10.1088/1742-6596/1565/1/012100

19 Zhiwen Dai, Chenglong Wang, Dalin Zhang, Wenxi Tian, Suizheng Qiu, G.H. Su. (2021) Design and analysis of a free-piston Stirling engine for space nuclear power reactor. Nucl. Eng. Techn., 53 (2), 637–646. https://doi.org/10.1016/j.net.2020.07.011 DOI: https://doi.org/10.1016/j.net.2020.07.011

20 Fr. Catapano, C. Perozziello, B. M. Vaglieco. (2021) Heat transfer of a Stirling engine for waste heat recovery application from internal combustion engines. Appl. Therm. Eng., 198, 117492. https://doi.org/10.1016/j.applthermaleng.2021.117492 DOI: https://doi.org/10.1016/j.applthermaleng.2021.117492

21 Sabdenov K.O. (2024) A simple model of a Stirling machine (engine) with a free working piston. Journ. Engin. Phys. Thermoph, 97 (4), 10341041. https://doi.org/10.1007/s10891-024-02974-3 DOI: https://doi.org/10.1007/s10891-024-02974-3

22 Sabdenov K. О., Erzada M., Zholdybaeva G. T. (2024) Simulation of conductions for achieving high electrical power and efficiency in a Stirling engine with a free piston. Euras. Phys. Techn. Journ., 21(4), 4960. https://doi.org/10.31489/2024No4/49-60 DOI: https://doi.org/10.31489/2024No4/49-60

23 Çengel Y. A., Boles M. A., Kanoglu M. (2024) Thermodynamics: An Engineering Approach.10th ed. New York: McGraw-Hill, 948. https://u.eruditor.one/file/3945201/

24 Jones K. (2013) The Chemistry of Nitrogen: Pergamon Texts in Inorganic Chemistry. Oxford: Pergamon Press (Elsevier). 242. https://doi.org/10.1016/c2013-0-05694-0 DOI: https://doi.org/10.1016/C2013-0-05694-0

25 Kirk-Othmer. (2005) Encyclopedia of Chemical Technology. John Wiley & Sons. 10, 898. Available at: https://www.abebooks.fr/edition-originale/Encyclopedia-Chemical-Technology-Kirk-othmer-John-Wiley/31582420860/bd

26 Bruce E. Poling, John M. Prausnitz, John P. O’Connell. (2001) The Properties of gases and liquids. Fifth Edition. McGraw-Hill Companies., 792. Available at: https://www.ebooks.com/en-us/book/300463/the-properties-of-gases-and-liquids-5e/bruce-e-poling/

27 Sabdenov K. О., Smagulov Zh. K., Erzada M., Zhakataev T. A. (2025) Simulation of a Stirling Engine with a Reversible Reaction CO + 2H2  CH3OH. Bulletin of the Karaganda University: «Physics Series», 29(2), 5566. https://doi.org/10.31489/2025ph2/55-66 DOI: https://doi.org/10.31489/2025ph2/55-66

28 Kalitkin N. N. (2013) Numerical methods. Moscow, Academia, 298. [in Russian] Available at: https://search.rsl.ru/ru/record/01006711380

29 Rob Phillips, Jane Kondev, Julie Theriot, Hernan Garcia. (2012) Physical Biology of the Cell. Garland Science. New York. 1088. https://doi.org/10.1201/9781134111589 DOI: https://doi.org/10.1201/9781134111589

Reid, Charles E. (1990) Chemical Thermodynamics. McGraw-Hill College. 332. Available at: https://www.amazon.com/Chemical-Thermodynamics-Charles-Reid/dp/007051769X

PHYSICAL PROPERTIES OF A FREE-PISTON STIRLING ENGINE WITH A REVERSIBLE CHEMICAL REACTION OF DIOXSIDE NITROGEN  TETRAOXSIDE NITROGEN IN THE WORKING GAS