Skip to main content
Log in

On classification of flow regimes in a channel with sudden expansion

  • Published:
Thermophysics and Aeromechanics Aims and scope

Abstract

Supersonic flows of gas in the vicinity of the bottom region known as flows with sudden expansion have been considered. On the basis of extensive experimental studies, authors have proposed a complete classification of flow regimes: stationary, oscillating, and transient. Hysteresis of the regimes change at total gas pressure increasing and decreasing in front of the nozzle has been found. Typical shock-wave configurations emerging at the jet flowing in a channel at different modes have been determined. The type of shock-wave structure and the nature of interaction of the mixing layer of a jet with the wall or reverse flow flowing into the channel from ambient medium determine the appropriate mode. Combination of physical and numerical experiment with bottom pressure calculation according to the developed semi-empirical model have revealed new flow regimes that were not studied earlier.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L.V. Gogish and G.Yu. Stepanov, Turbulent Separation Flows, Nauka, Moscow, 1979.

    Google Scholar 

  2. H.H. Korst, A theory for base pressure in transonic and supersonic flow, Trans. ASME, J. App. Mech., 1956, Vol. 23, No. 4, P. 593–600.

    MathSciNet  MATH  Google Scholar 

  3. W.L. Chow and A.L. Addy, Interaction between primary and secondary steams of supersonic ejector systems and their performance characteristics, AIAA J., 1964, Vol. 2, No. 4, P. 686–695.

    Article  MATH  Google Scholar 

  4. B.A. Balanin, Flow of supersonic jet into the channel of various shapes, J. Engng. Phys., 1968, Vol. XV, No. 1, P. 631–634.

    Article  Google Scholar 

  5. B.A. Balanin, Supersonic jet in step channel, in: Col. Gas Dynamics and Heat Transfer, LSU, 1968, No. 1, P. 86–94.

  6. J.S. Anderson and T.S. Williams, Base pressure and noise produced by the abrupt expansion of air in a cylindrical duct, J. Mech. Sci., 1968, Vol. 10, No. 3, P. 262–268.

    Article  Google Scholar 

  7. B.W. Martin and P.J. Baker, Experiments on a supersonic parallel diffuser, J. Mech. Sci., 1963, No. 5, P. 98–113.

  8. W.M. Jungowski, On the pressure oscillation in sudden enlargement of a duct section, Fluid Dynamics Trans., 1967, No. 1, P. 735–741.

  9. G.F. Glotov and E.K. Moroz, Investigation of axisymmetrical flows with sudden expansion of sonic flow, Proc. TsAGI, 1970, No. 1281.

  10. K.M. Tacina, R. Fernandez, and S.M. Moody, Thrust augmentation in an unsteady supersonic ejector, in: 42nd AIAA Aerospace Sci. Meeting and Exhibit., Reno, NV, January 5–8, 2004, AIAA Paper 2004, No. 2004–0866.

  11. W. Presz, Jr.G. Reynolds, and C. Hunter, Thrust augmentation with mixer, Ejector system, in: 40th AIAA Aerospace Sci. Meeting and Exhibit., Reno, NV, January 14–17, 2002, AIAA Paper 2002, No. 2002-0230.

  12. P.V. Bulat, O.N. Zasuhin, and V.N. Uskov, Gas dynamics and acoustics of supersonic jets flowing to a channel with sudden expansion, in: Modern Problems of Non-Equilibrium Gas Dynamics, St. Petersburg, BSTU, 2002, P. 136–158.

    Google Scholar 

  13. P.V. Bulat, O.N. Zasuhin, and V.N. Uskov, Complex method for calculating a jet in a channel with sudden expansion in the presence of transient processes in non-self-similar modes, in: Gas and Plasma Flows in Nozzles, Jets and Traces, Proc. XVIII Int. Seminar, St. Petersburg, BSTU, 21–23 June, 2000.

  14. T.H. Shih, W.W. Liou, A. Shabbir, Z. Yang, and J. Zhu, A new k−ɛ eddy viscosity model for high Reynolds number turbulent flows — model development and validation, Computers and Fluids, 1995, Vol. 24, No 3, P. 227–238.

    Article  MATH  Google Scholar 

  15. K.N. Volkov and V.N. Emelyanov, Large Eddy Simulation in Turbulent Flow Calculation, Phyz.-Mat. Lit., Moscow, 2008.

    Google Scholar 

  16. P.V. Bulat, O.N. Zasuhin, and V.N. Uskov, Wide-band noise of supersonic jet resulted from shock waves, in: IX Sci.-Tech. Conf. on Aeronautical Acoustics, Izd. TsAGI, 1989, P. 48–52.

  17. P.V. Bulat, O.N. Zasuhin, and Uskov , On deterministic approach to investigation of fine structure of oscillating modes in flow with sudden expansion, in: Proc. XX Int. Seminar on Jet, Separated and Unsteady flows, IPTs SPbGUTD, St. Petersburg, 2004.

    Google Scholar 

  18. P.V. Bulat, O.N. Zasuhin, and V.N. Uskov, On addition to classification of flow modes with sudden expansion and nature of random jet oscillations in a channel, in: Proc. XX Int. Seminar on Jet, Separated and Unsteady Flows, IPTs SPbGUTD, St. Petersburg, 2004.

    Google Scholar 

  19. P.V. Bulat, O.N. Zasuhin, and V.N. Uskov, Mechanisms of unsteady processes in channel with sudden expansion, in: Proc. XV All-Rus. Seminar on Gas Jets, LMI, 25–27 September, 1990.

  20. P.V. Bulat, O.N. Zasuhin, and V.N. Uskov, Full classification of flow modes with sudden expansion considering unsteady and transient processes, in: Applied Problems of Fluid and Gas Mechanics, Proc. IX Int. Conf. of Researchers of Ukraine, Russia and Byelorussia, 25–29 September, 2000, Izd. Sev. GTU, Sevastopol, 2000.

    Google Scholar 

  21. P.V. Bulat, O.N. Zasuhin, and V.N. Uskov, Experimental investigation of excitations of base pressure oscillations in a channel with sudden expansion at jet flowing from the nozzle with Ma = 1, in: Gas and Plasma Flows in Nozzles, Jets and Traces, Proc. XVIII Int. Seminar, St. Petersburg, BSTU, 21–23 June, 2000.

  22. P.V. Bulat, O.N. Zasuhin, and V.N. Uskov, Two forms of transition from the oscillating mode to self-similar one in base flows of the channels, in: Gas and Plasma Flows in the Nozzles, Jets and Traces, Proc. XVI All-Rus. Seminar, St. Petersburg, BSTU, 1997.

    Google Scholar 

  23. P.V. Bulat, O.N. Zasuhin, and V.N. Uskov, On transient process at completion of relaxation selfoscillations of base pressure P b in a channel with sudden expansion, in: Proc. XX All-Rus. Seminar on Jet, Separated and Unsteady Flows, St. Petersburg, BSTU, 2004, P. 41–43.

    Google Scholar 

  24. J.S. Anderson, W.M. Jungowski, W.J. Hiller, and G.E.A. Meier, Flow oscillations in a duct with a rectangular cross section, J. Fluid Mech., 1977, Vol. 79,Part 4, P. 769–784.

    Article  ADS  Google Scholar 

  25. P.V. Bulat, O.N. Zasuhin, and V.N. Uskov, Calculation of base pressure in a channel with self-similar mode with the use of a generalized model of attachment of viscous — non-viscous supersonic flow on a wall, in: Proc. IV Int. Conf. on Non-Equilibrium Processes in the Nozzles and Jets (NPNJ-2002), XIX Jet, Detachment and Unsteady flows, St. Petersburg, 2002, MEI, Moscow, P. 112–113.

  26. P.V. Bulat, O.N. Zasuhin, and V.N. Uskov, Jet formation at soft start of Laval nozzle, in: Gas Dynamics and Heat Transfer, No. 10, Gas Flows in Channels and Jets, SPb. State University, St. Petersburg, 1993, P. 1–22.

    Google Scholar 

  27. P.V. Bulat, O.N. Zasuhin, and V.N. Uskov, Zonal method for calculation of first barrel of supersonic turbulent jet distinguishing detachments and using integral model of mixing layers on a boundary and beyond Mach number, in: Applied Problems of Fluid and Gas Mechanics, Proc. IX Int. Conf. of Researchers of Ukraine, Russia and Byelorussia, 25–29 September, 2000, Izd. Sev. GTU, Sevastopol, 2000.

    Google Scholar 

  28. P.V. Bulat, O.N. Zasuhin, and V.N. Uskov, Zonal method for calculation of first barrel of supersonic turbulent jet distinguishing separations and using integral model of mixing layers on a boundary and beyond Mach number. Calculation beyond the first barrel, in: XIX Int. Seminar on Jet, Separation and Unsteady Flows, St. Petersburg, 2002, in: Proc. IV Int. Conf. on Unsteady Processes in the Nozzles and Jets (NPNJ-2002), MEI, Moscow, P. 110–111.

  29. J.D. Hamilton, Time Series Analysis, Princeton Univ. Press, Princeton, NJ, 1994.

    MATH  Google Scholar 

  30. J.C. Sprott, Chaos and Time-Series Analysis, Oxford University Press, Oxford, 2003.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. V. Bulat.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bulat, P.V., Zasuhin, O.N. & Uskov, V.N. On classification of flow regimes in a channel with sudden expansion. Thermophys. Aeromech. 19, 233–246 (2012). https://doi.org/10.1134/S0869864312020072

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0869864312020072

Key words

Navigation