Assessment of the influence of gap wall mobility factor at calculation of leakage in working section of a scroll compressor. Part 2

Leakage of the working substance in the compressor's flow gaps accounts for a large share of its volumetric losses. The optimality of calculated and approximated characteristics depends on the accuracy of quantitative component determination. Accordingly, an adequate and qualitative mathematical model should include the factor of non-stationarity of the leakage process, taking into account the mobility of scroll elements. At the same time, the real properties of the working medium, characterized by the compressibility coefficient, play an important role in the nature of leakage. Thus, in this article the task of creating a mathematical model adequate to the actual process of compression and allowing to estimate the degree of influence of the slit walls mobility on the leakage through them is set. The result of numerical calculations has a smaller error in relation to experimental data, and it also showed a significant influence on the leakage rate of both the pressure difference at the edges of the slot and the viscosity properties of the vapour-oil mixture, a significant percentage of which is oil.

1. Plaza E. L. Dynamic Analysis of a scroll compressor. Master of Science Thesis MMK 2007:33 MPK 593 KTH Industrial Engineering and Management Machine Design SE-100 44. Stockholm, Sweden, 2007. 80 p. (In Engl.).

2. Bezhanishvili E. M., Bykov A. V., Gurevich E. S. [et al.]. Kholodil’nyye kompressory [Refrigeration compressors: handbook]. Moscow, 1981. 279 p. (In Russ.).

3. Krestin E. A. K voprosu o teoreticheskom issledovanii gidrodinamicheskikh kharakteristik techeniya vyazkoy neszhimayemoy zhidkosti v zazorakh peremennoy vysoty [On the theoretical study of the hydrodynamic characteristics of viscous incompressible fluid flow in gaps of variable height] // Gradostroitel’stvo i Arkhitektura. Urban Construction and Architecture. 2018. Vol. 8, no. 1. P. 130–134. EDN: XUATVR. (In Russ.).

4. Gurchenkov A. A. Neustanovivsheyesya dvizheniye vyazkoy zhidkosti mezhdu vrashchayushchimisya parallel’nymi stenkami pri nalichii poperechnogo potoka [Unsteady motion of a viscous liquid between rotating parallel walls in the presence of a crossflow] // Prikladnaya Mekhanika i Teoreticheskaya Fizika. Journal of Applied Mechanics and Technical Physics. 2001. Vol. 42, no. 4. P. 48–51. EDN: ONVVMX. (In Russ.).

5. Loytsyanskiy L. G. Mekhanika zhidkosti i gaza [Fluid and Gas Mechanics]. Moscow, 1987. 840 p. (In Russ.).

6. Den G. N. Vvedeniye v termogazodinamiku real’nykh gazov: kurs lektsiy prochitannyy aspirantam SPGAKHPT [Introduction to Thermogasodynamics of Real Gases. Course of lectures delivered to postgraduate students of SPSURFPT]. Saint Petersburg, 1998. 139 p. (In Russ.).

7. Baranenko A. V., Bukharin N. N., Pekarev V. I. [et al.]. Kholodil’nyye mashiny. [Refrigeration machines]. Saint Petersburg, 2006. 941 p. (In Russ.).

8. Shcherba V. E., Dorofeyev E. A., Pavlyuchenko E. A. Otsenka vliyaniya nestatsionarnosti techeniya vyazkoy zhidkosti v tsikle porshnevoy gibridnoy energeticheskoy mashiny na velichinu massovogo raskhoda zhidkosti v shchelevom uplotnenii [Evaluation of the influence of the viscous fluid flow unsteadiness in the cycle of a reciprocating hybrid power machine on the fluid flow rate in the slot seal] // Khimicheskoye i Neftegazovoye Mashinostroyeniye. Chemical and Petroleum Engineering. 2021. No. 10. P. 18–23. (In Russ.).

9. Zheng S., Wei M., Song P. [et al.]. Thermodynamics and flow unsteadiness analysis of trans-critical CO2 in a scroll compressor for mobile heat pump air-conditioning system // Applied Thermal Engineering. 2020. Vol. 175. P. 115368. DOI: 10.1016/j.applthermaleng.2020.115368. (In Engl.).

10. Zheng S., Wei M., Hu C. [et al.]. Flow characteristics of tangential leakage in a scroll compressor for automobile heat pump with CO2 // Science China Technological Sciences. 2021. Vol. 64, no. 5. P. 971–983. DOI: 10.1007/s11431-020-1765-3. (In Engl.).

11. Pereira E. L. L., Braga V. M., Deschamps C. J. Data from the numerical analysis of radial and tangential leakage of gas in scroll compressors // Data in Brief. 2020. Vol. 29. P. 105197. DOI: 10.1016/j.dib.2020.105197. (In Engl.).

12. Pereira E. L. L., Deschamps C. J. Numerical analysis and correlations for radial and tangential leakage of gas in scroll compressors // International Journal of Refrigeration. 2019. Vol. 110 (12). P. 239–247. DOI: 10.1016/j.ijrefrig.2019.11.002. (In Engl.).

13. Suamir I. N. Study on the Performance of Scroll Compressor Applied for Medium Temperature Refrigeration System // Journal of Advanced Research in Fluid Mechanics and Thermal Sciences. 2021. Vol. 83, no. 2. P. 98–113. DOI: 10.37934/arfmts.83.2.98113. (In Engl.).

14. Wang J., Liu T. Leakage model of axial clearance and test of scroll compressors // Journal of Shanghai Jiaotong University (Science). 2020. Vol. 25, no. 4. P. 531–537. DOI: 10.1007/s12204-020-2163-6. (In Engl.).

15. Hidaka A., Ikeda A., Morimoto T. [et al.]. Axial and Radial Force Control for a CO2 Scroll Expander // HVAC&R Research. 2009. Vol. 15, no. 4. P. 759–770. DOI: 10.1080/10789669.2009.10390862. (In Engl.).

16. Hirofumi Y., Atsushi S., Yoshiyuki F. [et al.]. Clearance Control of Scroll Compressor for CO2 Refrigerant // International Compressor Engineering Conference. 2008. 1848. URL: https://docs.lib.purdue.edu/icec/1848/ (accessed: 14.01.2023). (In Engl.).

17. Glagolev N. M. Rabochiye protsessy dvigateley vnutrennego sgoraniya. [Operating processes of internal combustion engines]. Kiev-Moscow, 1950. 480 p. (In Russ.).

18. Mamontov M. A. Voprosy termodinamiki tela peremennoy massy [Questions of thermodynamics of a body of variable mass]. Moscow, 1961. 480 p. (In Russ.).

19. Tarasov A. M., Egorov V. G. Metodika i raschet rabochego protsessa vintovykh kompressorov [Methodology and calculation of the working process of screw compressors] // Energomashinostroyeniye. Power Engineering. 1970. No. 6. P. 43–45. (In Russ.).

20. Li G., Kim G. Performance Simulation of Scroll Compressors // International Conference on Compressors and Their Systems: 7th International Conference. 2001. P. 123–132. (In Engl.).

21. Chen Y., Halm N., Groll E. [et al.]. Comprehensive Model of Scroll Compressor Part I: Compression Process Modeling // Proceedings of International Compressor Engineering Conference at Purdue. 2000. P. 715–724. URL: https://core.ac.uk/download/pdf/4957156.pdf. (accessed: 15.03.2023). (In Engl.).

22. Chen Y., Halm N., Groll E. [et al.]. Comprehensive Model of Scroll Compressor Part II: Overall Scroll Compressor Modeling // Proceedings of International Compressor Engineering Conference at Purdue. 2000. P. 725–734. URL: https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=2455&context=icec (accessed: 15.03.2023). (In Engl.).

23. Wang B., Li X., Shi W. A General Geometrical Model of Scroll Compressors Based on Discretional Initial Angles of Involute // International Journal of Refrigeration. 2005. Vol. 28, no. 6. P. 958–966. DOI: 10.1016/j.ijrefrig.2005.01.015. (In Engl.).

24. Qiang J., Peng B., Liu Z. Dynamic Model for the Orbiting Scroll Based on the Pressures in Scroll Chambers–Part I: Analytical Modeling // International Journal of Refrigeration. 2013. Vol. 36, no. 7. P. 1830–1849. DOI: 10.1016/j.ijrefrig.2013.02.004. (In Engl.).

25. Qiang J., Peng B., Liu Z. Dynamic Model for the Orbiting Scroll Based on the Pressures in Scroll Chambers – Part II: Investigations on Scroll Compressors and Model Validation // International Journal of Refrigeration. 2013. Vol. 36, no. 7. P. 1850–1865. DOI: 10.1016/j.ijrefrig.2013.02.013. (In Engl.).

26. Winandy E., Lebrun J. Experimental Analysis and Simplified Modeling of a Hermetic Scroll Refrigeration Compressor // Applied Thermal Engineering. 2002. Vol. 22, no. 2. P. 107–120. DOI: 10.1016/S1359-4311(01)00083-7. (In Engl.).

27. Peng B., Honsheng Z., Li Z. [et al.]. Stress and Deformation Analyses of Twin-Spirals Scroll Plates Based on CAE // International Compressor Engineering Conference at Purdue, July 14–17. 2008. URL: https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=2923&context=icec (accessed: 15.03. 2023). (In Engl.).

28. Ullah H., Peng B., Bocko J. [et al.]. Stress and Deformation Analysis of Oil-Free Air Scroll Compressor // Journal of Physics: Conference Series. 2021. No. 1877. P. 012004. DOI: 10.1088/1742- 6596/1877/1/012004. (In Engl.).

29. Girshfel’der D. Zh. Molekulyarnaya teoriya gazov i zhidkostey [Molecular theory of gases and liquids]. Moscow, 1961. 929 p. (In Russ.).

30. Sakun I. A. Vintovyye kompressory: Osnovy teorii, raschet, konstruktsiya [Screw compressors: Fundamentals of theory, calculation, design]. Leningrad, 1970. 400 p. (In Russ.).

31. Pronin V. A., Kuznetsov Y. L., Zhignovskaia D. V. [et al.]. Improving methodology calculating the leakages compressible environment in the working part of a screw compressor // AIP Conference Proceedings. 2019. Vol. 2141. P. 030010. DOI: 10.1063/1.5122060. (In Engl.).

32. Pronin V. A., Verboloz A. L. Otsenka vliyaniya podvizhnosti stenok shcheley na protechki komprimiruyemoy sredy v vintovom odnorotornom kompressore (VKO) [Assessment of the effect of crevice wall mobility on compressed fluid leakage in a single-rotor screw compressor (SSC)] // Vestnik Mezhdunarodnoy Akademii Kholoda. Journal of International Academy of Refrigeration. 2012. Vol. 42, no. 1. P. 31–33. (In Russ.).

33. Emerson boost for CO2 scroll technology. URL: https://www.coolingpost.com/products/emerson-boost-for-co2-scrolltechnology/ (accessed: 15.09.2022). (In Engl.).

34. Emerson Aims to Increase R744 Adoption in Small Stores by Simplifying Systems. URL: https://r744.com/emerson-aimsto-increase-r744-adoption-in-small-stores-by-simplifying-systemsdynamic-vapor-injection/ (accessed: 15.09.2022). (In Engl.).