The Calculation of Hermetic Circuit Parameters

Gas leakage processes in leak detection can be described by linear equations of the molecular model of gas outflow during leakage control, which makes it possible to perform calculations using the laws and methods of linear electrical circuits. The processes in these leaks are based on a compilation of component and topological equations. The component, or branch equations, establish a relationship between flow and pressure in each branch. The topological, or nodal equations, are expressed by Kirchhoff’s laws. According to Kirchhoff’s first law, the algebraic sum of molecular flow rates at any node is zero; according to the second law, the algebraic sum of potentials (pressure drops) in any closed loop is zero. With the help of these calculations, it is possible, firstly, to determine permissible leaks in individual units and components of the product, which is a prerequisite for formulating the requirements for leakage control. Secondly, the linear model makes it possible to determine the parameters of the seals that ensure the required degree of tightness. Permissible leaks through the seals are calculated using the laws and methods of the theory of linear electric circuits.

References

[1] Makarov V.A., Panov A.A. Germetologicheskii sintez uplotnitel’nykh system [Hermetic synthesis of sealing systems]. Fundamental’nye issledovaniia i innovatsionnye tekhnologii v mashinostroenii. Sb. tr. 2 Mezhdunar. nauch. konf. [Fundamental research and innovative technologies in mechanical engineering. Proceedings of the 2nd International Scientific Conference]. Moscow, IMASh RAN-MIREA publ., 2015, pp. 155–164.

[2] Bessonov L.A. Teoreticheskie osnovy elektrotekhniki. Elektricheskie tsepi [Theoretical bases of electrical engineering. Electrical circuits]. Moscow, Gardariki publ., 2007. 701 p.

[3] Lukmanov V.S. Teoreticheskie osnovy elektrotekhniki. Chast’ I. Teoriia lineinykh elektricheskikh tsepei [Theoretical bases of electrical engineering. Part I. Theory of linear electric circuits]. Ufa, USATU publ., 2005. 120 p.

[4] Atabekov G.I. Teoreticheskie osnovy elektrotekhniki. Lineinye elektricheskie tsepi [Theoretical bases of electrical engineering. Linear electrical circuits]. Moscow, Lan’ publ., 2009. 360 p.

[5] Nerazrushaiushchii kontrol’: spravochnik [Non-destructive testing: a guide]. Ed. Kliuev V.V. Moscow, Mashinostroenie publ., 2003, vol. 2, b. 1. 688 p.

[6] GOST 24054–80. Izdeliia mashinostroeniia i priborostroeniia. Metody ispytaniia na germetichnost’. Obshchie trebovaniia [State Standard 24054–80. Engineering and instrument production items. Leak detection methods. General requirements]. Moscow, Rosstandart publ., 1987. 35 p.

[7] Makarov V.A., Sazhin S.G., Fadeev M.A. Avtomatizatsiia kontrolia germetichnosti [Automation of leak testing]. Metody povysheniia kachestva i nadezhnosti kontrolia germetichnosti. Sb. tez. dokl. 3 Vseros. konf. [Methods for improving the quality and reliability of leak testing. Proceedings of the 3rd All-Russian Conference]. Dzerzhinsk, Dzerzhinskii filial GPI publ., 1997, pp. 53–55.

[8] Al’tshul’ A.D. Gidravlicheskie soprotivleniia [Hydraulic resistance]. Moscow, Nedra publ., 1970. 216 p.

[9] Evlampiev A.I., Popov E.D., Sazhin S.G., Sumkin P.S. Techeiskanie [Leak testing]. Moscow, Spektr publ., 2011. 208 p.

[10] Uplotneniia i uplotnitel’naia tekhnika: spravochnik [Seals and sealing machinery: a guide]. Ed. Golubev A.I., Kondakov L.A. Moscow, Mashinostroenie publ., 1986. 464 p.

[11] Kikoin A.K., Kikoin I.K. Molekuliarnaia fizika [Molecular physics]. Moscow, Nauka publ., 1976. 480 p.

[12] Bussemaker E.J. The development of floating ring type shaft seals for centrifugal compressors. 5th International Conference on Fluid Sealing, England, BHRA, 1971, pp. 37–39.

[13] Reitlinger S.A. Pronitsaemost’ polimernykh materialov [Molecular physics]. Moscow, Khimiia publ., 1974. 271 p.