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Simulation of Flows in Bottom Field of an External Expansion Annular Nozzles

  • A. L. Kartashev
  • M. A. Kartasheva
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

The scheme of flow in external expansion annular nozzle with short-cut center body is considered. The characteristic feature of the flow in such nozzle is the presence of a developed separated field behind the bottom of the shortened central body, the parameters of which are determined by the shock-wave interaction of gas flows flowing from the minimum cross section of the nozzle, representing the annular split, the plane of which has a significant slope to the longitudinal axis of the nozzle. The conditions of the open bottom field and closed bottom field in annular nozzles of the viewed type depending on the value of the environment pressure are allocated. The considered configuration of the annular nozzle featured a significant increase in pressure on the surface of the central body as a result of the presence of a shock-wave system that occurs immediately after the gas flows through the annular split. The shock-wave flow pattern is determined for annular nozzle for condition of closed bottom field.

Keywords

External expansion’s annular nozzle Pressure of environment Condition of bottom field Shock-wave flow’s pattern 

References

  1. 1.
    Kartashev AL, Kartasheva MA (2011) Matematicheskoe modelirovanie techeniy v koltsevykh soplakh (Mathematical modeling of flows in annular nozzles). South Ural State University, ChelyabinskGoogle Scholar
  2. 2.
    Vasenin IM, Arhipov VA, Butov VG et al (1986) Gazovaya dinamika dvukhfaznykh techeniy v soplakh (Gas dynamics of two-phase flows in nozzles). Publishing House of Tomsk University, TomskGoogle Scholar
  3. 3.
    Pirumov UG, Roslyakov GS (1978) Techeniya gaza v soplakh (Gas flows in nozzles). Moscow State University, MoscowGoogle Scholar
  4. 4.
    Pirumov UG, Roslyakov GS (1990) Gazovaya dinamika sopel (Gas dynamics of nozzles). Nauka, MoscowGoogle Scholar
  5. 5.
    Conley RR, Hoffman JD, Thompson HD (1985) An analytical and experimental investigation of annular propulsive nozzles. J Aircr 4:270–276CrossRefGoogle Scholar
  6. 6.
    Kartashev AL, Kartasheva MA (2014) Profiling of optimal annular nozzles with polyphase working medium. In: 29th congress of the international council of the aeronautical sciences, St. Petersburg, Russia, 7–12 Sept 2014Google Scholar
  7. 7.
    Kartashev AL, Kartasheva MA (2013) System of mathematical modeling of flows in controlled gas-jet systems and hydropneumatic devices with annular nozzles. Bull South Ural State Univ Ser Comput Technol Control Radio Electron 4:30–37Google Scholar
  8. 8.
    Marcum DL, Hoffman JD (1986) Calculation of three–dimensional inviscid flowfields in propulsive nozzles with centerbodies. AIAA Paper 0449Google Scholar
  9. 9.
    Godunov SK, Zabrodin AV, Ivanov MYa et al (1976) Chislennoe reshenie mnogomernykh zadach gasovoy dinamiki (Computational solution of multidimensional problems of gas dynamics). Nauka, MoscowGoogle Scholar
  10. 10.
    Kolgan VP (1975) Konechno-raznostnaya schema dlya raschena dvumernykh razryvnykh resheniy ntstatsionarnoy gazovoy dinamiki (Finite-difference scheme for calculation of two-dimensional discontinuous solutions of unsteady gas dynamics). TsAGI Sci J 1:9–14Google Scholar
  11. 11.
    Kartasheva MA (2012) Modelirovanie dinamiki sovershennogo gaza v kol’tsevykh soplakh letatel’nykh apparatov (Modeling of dynamics of perfect gas in annular nozzles of flying machines). Bull South Ural State Univ Ser Mashinostr 33:40–46Google Scholar
  12. 12.
    Ivanov MYa, Kraiko AN, Mikhailov NV (1972) Method skvoznogo scheta dvumernykh i prostranstvennykh sverkhzvukovykh techeniy (Method of “transparent” calculation of two-dimensional and three-dimensional supersonic flows). J Comput Math Math Phys 2:441–463Google Scholar
  13. 13.
    Kartasheva MA (2008) Matematicheskoe modelirovanie techeniy v oblastyakh otryva potoka (Mathematical modeling of flows in field of flow separation). Bull South Ural State Univ Ser Mashinostr 10:36–44Google Scholar
  14. 14.
    Kalinin EM, Lapygin VI, Pushkin RM, Aksenov LA (1998) Gasdynamics of self–adjustable thruster with zero length central plug. In: Proceedings of the third European symposium on aerothermodynamics for space vehicles, ESTEC, Noordwijk, The Netherlands, 24–26 Nov 1998Google Scholar
  15. 15.
    Aukin MK, Tagirov RK (1999) Raschet donnogo davleniya i entalpii za ploskim ili osesimmetrichnym ustupom, obtekaemym sverhzvukovym potokom, s uchetom vliyaniya nachalnogo pogranichnogo sloya (Calculation of bottom pressure and enthalpy behind a plane or axisymmetric ledge, streamlined supersonic flow, taking into account the influence of the initial boundary layer). Fluid Dyn 2:110–119Google Scholar
  16. 16.
    Wilcox DC (1994) Turbulence modeling for CFD. DCW Industries, La Cañada, CAGoogle Scholar
  17. 17.
    Menter FR (1994) Two-equation eddy viscosity turbulence models for engineering applications. AIAA J 1:1299–1310Google Scholar
  18. 18.
    Chung TJ (2002) Computational fluid dynamics. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  19. 19.
    Versteeg HK (1995) An introduction to computational fluid dynamics the finite volume method. Longman Group Ltd., HarlowGoogle Scholar
  20. 20.
    CFX theory guide, Chapter 5Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.South Ural State UniversityChelyabinskRussia

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