Development of the BS-STIRLING 5.0 software package for modelling operating processes in Stirling engines
https://doi.org/10.21821/2309-5180-2026-18-3-501-514
EDN: XQQCVQ
Abstract
The article presents the development of the BS-STIRLING 5.0 software package designed for computational modelling of operating processes in Stirling engines. The new version, developed on the basis of the methodological framework of BS-STIRLING 4.2, includes a number of significant improvements aimed at increasing physical detail and calculation accuracy while maintaining the high computational efficiency typical of second-order methods. The key innovation is the transition from a functional diagram representation of the engine to discretisation of the internal circuit into 44 control volumes, which makes it possible to analyse local thermodynamic, hydrodynamic, and heat-transfer processes during the operating cycle. Additional improvements include a globally coupled iterative scheme, explicit modelling of heat transfer in the cylinders, updated correlations for oscillatory flows at low Reynolds numbers, a heat-transfer model taking into account wall temperature gradients, and the introduction of two new input parameters: adiabatic control temperatures in the hot and cold cylinders. These changes significantly improve the accuracy of calculating indicator diagrams, heat losses, and effective cycle parameters. Validation against experimental data from 29 Stirling engines of various types showed that the discrepancy between calculated and experimental values of effective power and efficiency does not exceed 5 %. Compared with version 4.2, the average error in power prediction was reduced from 5.2 % to 4.9 %, while the efficiency error decreased from 13.6 % to 4.1 %. The software package has a user-friendly graphical interface, short calculation time, and extensive visualisation capabilities, which makes BS-STIRLING 5.0 an effective tool for engineering calculations, scientific research, and educational purposes.
About the Authors
S. P. StolyarovRussian Federation
Stolyarov, Sergey P. - PhD in Technical Sciences, Associate Professor
3, Lotsmanskaya Str., St. Petersburg, 190121
Maung Ye
Russian Federation
Ye Maung - Postgraduate student of the Department of Marine Internal Combustion Engines and Diesel Propulsion Systems
3, Lotsmanskaya Str., St. Petersburg, 190121
References
1. Tew, R. C. Overview of heat transfer and fluid flow problem areas encountered in Stirling engine modeling. Cleveland, Ohio: NASA Technical Memorandum, 1988: 23.
2. Rider, G. and Ch. Khuper. Dvigateli Stirlinga. M.: Energiya, 1986: 464.
3. Finkelstein, T. and A. J. Organ. Air Engines. The History, Science and Reality of the Perfect Engine. New York: ASME Press, 2001: 288.
4. Chen, N. C. J. and F. P. Griffin. A review of Stirling engine Mathematical Models. Virginia: Springfield, 1983: 43.
5. Qvale, E. R. An Analytical Model of Stirling-Type Engines. Ph.D. dissertation. Massachusetts: Massachusetts Institute of Technology, 1967: 96.
6. Rios, P. A. An Analytical and Experimental Investigation of the Stirling Cycle. Ph.D. dissertation. Massachusetts: Massachusetts Institute of Technology, 1969: 179.
7. Martini, W. R. Stirling Engine Design Manual. NASA CR-168088. NASA, 1983: 410.
8. Shoureshi, R. Analysis and Design of Stirling Engines for Waste-Recovery. Grand PhD diss. Massachusetts, 1981.
9. Snyman H., Harms T.M., Strauss J.M. Design Analysis Methods for Stirling Engines. Journal of Energy in Southern Africa, Vol. 19, No. 3, Cape Town, 2008: 4–19.
10. Mojtaba Babaelahi and Hoseyn Sayyaadi. Modified PSVL: a second order model for thermal simulation of Stirling engines based on convective – polytropic heat transfer of working spaces. Applied Thermal Engineering, 85:340–355, 2015: 340–355.
11. Godfrey T Udeh, Stavros Michailos, Derek Ingham, Kevin J Hughes, Lin Ma, Mohammed Pourkashanian. A new non-ideal second order thermal model with additional loss effects for simulating beta Stirling engines. Energy Conversion and Management, 206:112493, 2020: 22.
12. Finkelstein, T. "Thermodynamic Analysis of Stirling Engines." Journal of Spacecraft & Rockets 4.9 (1967): 1184–1189.
13. Finkelstein, T. "Computer Analysis of Stirling Engines." Advances in Cryogenic Engineering 20 (1975): 269–282.
14. Urieli, I. A Computer Simulation of Stirling Cycle Machines. Grand PhD diss. South Africa, Witwatersrand, 1977.
15. Schock, A. "Nodal Analysis of Stirling Cycle Devices." Proceedings of the 13th Intersociety Energy Conversion Engineering Conference, San Diego, California, August 20-25 San Diego: Society of Automotive Engineers, 1978: 1771–1779.
16. Tew, R. C. Computer Program for Stirling Engine Performance Calculations. NASA/TM-82960. National Aeronautics and Space Administration, 1983: 129.
17. Organ, A. J. Thermodynamics and Gas Dynamics of the Stirling Cycle Machine. Cambridge: Cambridge University Press, 1992: 415.
18. Andrew Peter Robson, Third Order Analysis of a Low Temperature Differential Ringbom-Stirling Engine. Ph.D. dissertation. Napier University, Edinburgh, Scotland, 2007: 257.
19. Hao Qiu, Kai Wang, Peifeng Yu, Mingjiang Ni, Gang Xiao. A third-order numerical model and transient characterization of a β-type Stirling engine. Energy, Vol. 222, 1 May 2021, 119973, 2021: 18.
20. Dyson, R. W., S. D. Wilson and R. C. Tew. Review of Computational Stirling Analysis Methods. NASA/TM—2004-213300. Cleveland, Ohio: Glenn Research Center, 2004: 28.
21. Kuban L, Stempka J, Tyliszczak A. A 3D-CFD study of a γ-type Stirling engine. Energy 2019, Volume 169,142-159, 2019: 142–159.
22. George-Rafael Domenikos, Irene Koronaki,Theodoros Papingiotis, Panagiotis Bitsikas. Parametric Numerical Analysis of β-Type Stirling Engine. Energies 2023, 16(18), 6518, 2023: 14.
23. Santiago Laín, Valentina Villamil, Juan R. Vidal. CFD Simulation of Stirling Engines: A Review. Processes 2024, 12(11), 2360, 2024: 26.
24. Stolyarov, S. P. and A. S. Stolyarov. "Opyt vypolneniya raschetno-eksperimental'nykh issledovaniy mashin Stirlinga s ispol'zovaniem programmnogo kompleksa «BS-STIRLIN»." Aktual'nye problemy razvitiya porshnevykh DVS: materialy mezhotraslevoy nauchno-tekhnicheskoy konferentsii SPb.: Izdatel'skiy tsentr SPbGMTU, 2008: 40–43.
25. Stolyarov, S. P., M. Ye and A. S. Stolyarov. "Basic equation for a mathematical model of the stirling engine main duct element taking into account the heat transfer process." Engines Construction 2(296) (2024): 69–74.
26. Stolyarov, S. P. and Ye Maung. "Mathematical formalization of the method for determining the coefficients of hydraulic resistance for sudden expansion and contraction of working fluid flow." Natural and Technical Sciences 1(212) (2026): 223–231. DOI: 10.25633/ETN.2026.01.19.
27. Stolyarov, S. P. and Ye Maung. "New analytical method for calculation of dual hydraulic resistances in the internal circuit of a stirling engine." Natural and Technical Sciences 1(212) (2026): 232–239. DOI: 10.25633/ETN.2026.01.20.
28. Stolyarov, S. P., A. S. Stolyarov and Ye Maung. "New analytical method for Stirling engine thermodynamic cycle calculation using simplified adiabatic model." Proceedings of the 20th International Stirling Engine Conference Neaples: Cnr Edizioni, 2024: 219–230. DOI: 10.48221/ISEC20-2024.
29. Stolyarov, S. P., A. S. Stolyarov and Ye Maung. "Metod rascheta davleniya v tsikle dvigatelya Stirlinga po uproschennoy adiabatnoy metodike ." Research Bulletin by Russian Maritime Register of Shipping 68-69 (2022): 122–129.
Review
For citations:
Stolyarov S.P., Ye M. Development of the BS-STIRLING 5.0 software package for modelling operating processes in Stirling engines. Vestnik Gosudarstvennogo universiteta morskogo i rechnogo flota imeni admirala S. O. Makarova. 2026;18(3):501-514. (In Russ.) https://doi.org/10.21821/2309-5180-2026-18-3-501-514. EDN: XQQCVQ
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