Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)


For citation:

Gorshkov I. B., Petrov V. V. Numerical simulation of stages number influence to the characteristics of a looped tube thermoacoustic Stirling engine. Izvestiya of Sarat. Univ. Physics. , 2021, vol. 21, iss. 2, pp. 133-144. DOI: 10.18500/1817-3020-2021-21-2-133-144

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
31.05.2021
Full text:
(downloads: 109)
Language: 
Russian
Article type: 
Article
UDC: 
621.486

Numerical simulation of stages number influence to the characteristics of a looped tube thermoacoustic Stirling engine

Autors: 
Gorshkov Ilya Borisovich, Saratov State University
Petrov Vladimir Vladimirovich, Saratov State University
Abstract: 

Background and Objectives: The traveling wave thermoacoustic engine is a variation of the Stirling engine family. With an increase in the number of stages of a traveling wave thermoacoustic engine from one to four, an improvement in the characteristics of the acoustic wave in the regenerator zone is observed, the temperature difference between the heat exchangers required to start the engine decreases, and the efficiency increases. For this reason, it is important to study the patterns of changes in engine characteristics with a further increase in the number of stages. The aim of the work was to study the influence of the number of stages on the characteristics of the acoustic wave in the engine. Materials and Methods: A numerical calculation of eight models of engines with the number of stages from three to ten was carried out in the Delta EC program. The working gas is argon under a pressure of 1.5 MPa, the diameter of the heat exchangers is 160 mm, the diameter of the acoustic resonator is 41.2 mm, the length of the looped engine resonator for all models was 8 meters. The stages in all engines were structurally the same. In the course of the calculations, the number of stages and the number of acoustic loads changed, while maintaining the same total length of the hull-resonator. For each of the eight models studied, the acoustic load was optimized to achieve the maximum engine efficiency. Conclusion: It was shown that with an increase in the number of stages from three to ten, there is a gradual increase in the phase difference between the pressure and velocity oscillations, that is, the wave approaches the parameters of a standing wave in the entire cavity of the resonator. In this case, the maximum acoustic load power and efficiency were observed when the number of stages was equal to five. With an increase in the number of stages from five to ten, the power of each individual stage decreased by 15.8%, and the efficiency decreased by 8%.

Acknowledgments: 
The reported study was funded by RFBR according to the research project No. 19-32-90127.
Reference: 
  1. Jin T., Yang R., Wang Y., Feng Y., Tang K. Low temperature difference thermoacoustic prime mover with asymmetric multistage loop confi guration. Sci. Rep. UK, 2017, vol. 7, pp. 1–8. DOI: 10.1038/s41598-017-08124-5
  2. Gorshkov I. B., Petrov V. V. Numerical Simulation of a Looped Tube 4-Stage Traveling-Wave Thermoacoustic Engine. Izv. Saratov Univ. (N. S.), Ser. Physics, 2018, vol. 18, iss. 4, pp. 285–296 (in Russian). https://doi.org/10.18500/1817-3020-2018-18-4-285-296
  3. Backhaus S., Swift G. A thermoacoustic-Stirling heat engine: Detailed study. J. Acoust. Soc. Am., 2000, vol. 107, pp. 3148 – 3166. https://doi.org/10.1121/1.429343
  4. Abdoulla-Latiwish K., Jaworski A. Two-stage travelling-wave thermoacoustic electricity generator for rural areas of developing countries. Appl. Acoust., 2019, vol. 151, pp. 87–98. DOI: https://doi.org/10.1016/j.apacoust.2019.03.010
  5. Xu J., Hu J., Zhang L., Dai W., Luo E. Effect of coupling position on a looped three-stage thermoacoustically-driven pulse tube cryocooler. Energy, 2015, vol. 93, pp. 994–998. http://dx.doi.org/10.1016/j.energy.2015.09.099
  6. Douglas A., Wilcox Jr. Experimental investigation of thermoacoustic-Stirling engine electric generator with Gedeon streaming suppression. A thesis submitted to the Pennsylvania state university for the degree of doctor of philosophy in the faculty of engineering and physical sciences. Pennsylvania, 2011. 107 p. Available at: https://etda. libraries.psu.edu/fi les/fi nal_submissions/1323 (accessed 27 January 2021).
  7. Hamood А., Jaworski А. Experimental investigations of the performance of a thermoacoustic electricity generator. E3S Web Conf. International Conference on Advances in Energy Systems and Environmental Engineering (ASEE19), 2019, vol. 116, pp. 1–8. https://doi.org/10.1051/e3sconf/201911600025
  8. Bi T., Wu Z., Zhang L., Yu G., Luo E., Dai W. Development of a 5 kW traveling-wave thermoacoustic electric generator. Appl. Energy, 2017, vol. 182, pp. 1355–1361. https://doi.org/10.1016/j.apenergy.2015.12.034
  9. Blok K. Novel 4-stage traveling wave thermoacoustic power generator. Proceedings of ASME 2010 3rd Joint Us-European Fluids Engineering Summer Meeting and 8th International Conference on Nanochannels, Microchannels, and Minichannels. FEDSM-ICNMM2010 (August 1–5, 2010). Monreal (Canada), 2010, pp. 73–79. DOI: 10.1115/FEDSM-ICNMM2010-30527
  10. Zhang X., Chang J. Onset and steady-operation features of low temperature differential multi-stage travelling wave thermoacoustic engines for low grade energy utilization. Energ. Convers. Manage, 2015, vol. 105, pp. 810–816. http://dx.doi.org/10.1016/j.enconman.2015.08.032
  11. Lewis M., Kuriyama T., Kuriyama F., Radebaugh R. Measurement of heat conduction through stacked screens. Adv. Cryogenic Eng., 1998, vol. 43, pp. 1611–1618. Available at: https://link.springer.com/chapter/10.1007/978-1-4757-9047-4_202 (accessed 27 January 2021).
  12. Swift G., Gardner D., Backhaus S. Acoustic recovery of lost power in pulse tube refrigerators. J. Acoust. Soc. Am., 1999, vol. 105, iss. 2, pp. 711–724. https://doi.org/10.1121/1.426262
  13. Al-Kayiem A., Yu Z. Using a side-branched volume to tune the acoustic fi eld in a looped-tube travelling-wave thermoacoustic engine with a RC load. Energy Convers. Manage, 2017, vol. 150, pp. 814–821. https://doi.org/10.1016/j.enconman.2017.03.019
  14. Wang H., Yu G., Hu J., Wu Z., Hou M., Zhang L., Luo E. A novel looped low-temperature heat-driven thermoacoustic. Energy Procedia. 10th International Conference on Applied Energy (ICAE2018), 22–25 August 2018. Hong Kong, 2019, vol. 158, pp. 1653–1659. https://doi.org/10.1016/j.egypro.2019.01.386
  15. Tartibu L. Developing more effi cient travelling-wave thermo-acoustic refrigerators: A review. Sustain. Energy Technol. Assess., 2019, vol. 31, pp. 102–114. https://doi.org/10.1016/j.seta.2018.12.004
  16. Jin T., Yang R., Wang Y., Feng Y., Tang K. Acoustic fi eld characteristics and performance analysis of a looped travelling-wave thermoacoustic refrigerator. Energy Convers. Manage., 2016, vol. 123, pp. 243–251. http://dx.doi.org/10.1016/j.enconman.2016.06.041
  17. Zhang X., Chang J., Cai S., Hu J. A multi-stage travelling wave thermoacoustic engine driven refrigerator and operation features for utilizing low grade energy. Energy Convers. Manage., 2016, vol. 1114, pp. 224–233. http://dx.doi.org/10.1016/j.enconman.2016.02.035
  18. Matveev K., Backhaus S., Swift G. The effect of gravity on heat transfer by Rayleigh streaming in pulse tubes and thermal buffer tubes. Proceedings of IMECE04 ASME International Mechanical Engineering Congress and Exposition. Anaheim, California USA, 2004, pp. 7–12. https://doi.org/10.1115/IMECE2004-59076
  19. Matveev K., Swift G., Backhaus S. Analytical solution for temperature profi les at the ends of thermal buffer tubes. Int. J. Heat Mass Tran., 2007, vol. 50, pp. 897–901. https://doi.org/10.1016/j.ijheatmasstransfer.2006.08.004
  20. Ward B., Clark G., Swift G. Design environment for ow-amplitude thermoacoustic energy conversion, version 6.3b11, users guide. Los Alamos, Los Alamos National Laboratory, 2012. 288 p. Available at: https://www.lanl.gov/org/padste/adeps/materials-physicsapplications/cond... science/thermoacoustics/_assets/docs/UsersGuide.pdf (accessed 27 January 2021).
  21. Swift G. W. Thermoacoustic engines and refrigerators: A short course. Los Alamos, Los Alamos National Laboratory, 1999. 179 p. Available at: https://www.osti.gov/servlets/purl/756947 (accessed 27 January 2021).
  22. Hamood A., Jaworski A., Mao X. Model and Design of a Four-Stage Thermoacoustic Electricity Generator with Two Push-Pull Linear Alternators. Proceedings of ASEE17. International Conference on Advances in Energy Systems and Environmental Engineering (ASEE17), (02–05 July 2017). Wroclaw, Poland. Available at: http://eprints.whiterose.ac.uk/116886/7/Hamood%20reviewed%20corrected.pdf (accessed 27 January 2021).
  23. Wanga K., Qiu L. Numerical analysis on a four-stage looped thermoacoustic Stirling power generator for low temperature waste heat. Energy Convers. Manage, 2017, vol. 150, pp. 830–837. https://doi.org/10.1016/j.encon-man.2017.03.023
  24. Zhanga L., Chena Y., Luo E. A novel thermoacoustic system for natural gas liquefaction. Energy Procedia. The 6th International Conference on Applied Energy – ICAE2014, 2014, vol. 61, pp. 1042–1046. https://doi.org/10.1016/j.egypro.2014.11.1020
  25. Abduljalil A. S. Investigation of thermoacoustic processes in a travelling-wave looped-tube thermoacoustic engine. A thesis submitted to the university of Manchester for the degree of doctor of philosophy in the faculty of engineering and physical sciences. Manchester, 2012. 180 p. Available at: https://search.proquest.com/openview/4cbb8002bb5130e9991b53f1358aef2d/1?... (accessed 27 January 2021).
  26. Blok K. 4-stage thermo acoustic power generator. Aster Thermoacoustic, 2010. Available at: https://www.bio-energyforumfact.org/sites/default/fi les/2018-06/52.%204-stage%20thermo%20acoustic%20power%20generator.pdf (accessed 27 January 2021).
Received: 
27.08.2020
Accepted: 
12.03.2021
Published: 
31.05.2021