Skip to main content
Log in

Control of the Formation of a Transonic Region in an Axisymmetric Supersonic Flow with the Use of a Jet and a Near-Wall Energy Supply

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

The control action of a throttling air jet produced by a gas generator and of the energy sources positioned at the walls of an axisymmetric channel, which models the combustion-chamber unit of a ramjet in which a gas flow is decelerated, on the shock-wave structure of a supersonic gas flow in the channel was investigated for the purpose of formation of a lengthy transonic region in it. A heat energy was supplied to the gas flow in the indicated channel in the pulse-periodic regime, and the pressure in the gas generator was also changed periodically. The range of energies corresponding to a stable transonic flow regime in the channel was determined on the basis of solution of the nonstationary Euler equations in dimensionless variables. For comparison, the combustion of a gaseous fuel inflowing to the channel through a slot in the channel wall upstream of the control air jet was considered. A nonstationary gas flow in the channel was calculated on the basis of the Reynolds-averaged Navier–Stokes equations with the use of the k–ω SST model of turbulence. It is shown that a controllable energy release in the channel, providing the obtaining of a transonic flow regime in it analogous to that obtained on the basis of solution of the Euler equations, can be realized with the use of a control transverse air jet.

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. N. V. Guryleva, M. A. Ivan′kin, D. A. Lapinskii, and V. I. Timoshenko, Investigation of features of a flow in a channel in which a disturbance interacts with a pseudoshock, Uch. Zap. TsAGI, 43, No. 6, 40–54 (2012).

  2. S. M. Frolov, A. V. Dubrovskii, and V. S. Ivanov, Three-dimensional numerical simulation of the working process in a combustion chamber with a continuous detonation, Khim. Fiz., 31, No. 3, 32–45 (2012).

    Google Scholar 

  3. Z. Zhao, J.-M. Li, J. Zheng, et al., Study of shock and induced fl ow dynamics by nanosecond dielectric-barrier-discharge plasma actuators, AIAA J., 53, No. 5, 1336–1348 (2015).

    Article  Google Scholar 

  4. A. Firsov, K. V. Savelkin, D. A. Yarantsev, and S. B. Leonov, Plasma-enhanced mixing and flame holding in supersonic flow, Philos. Trans.: Math., Phys. Eng. Sci., Ser. A., 373, No. 2048, 20140337 (2015).

  5. Timothy Ombrello, Campbell Carter, Jonathan McCall, et al., Enhanced mixing in supersonic flow using a pulse detonator, J. Propuls. Power, 31, Issue 2, 654–663 (2015).

    Article  Google Scholar 

  6. A. A. Firsov, M. A. Shurupov, D. A. Yarantsev, and S. B. Leonov, Plasma-assisted combustion in supersonic airflow: optimization of electrical discharge geometry, Paper AIAA-2014-0988.

  7. A. A. Berlin, V. M. Fomin, V. S. Ivanov, S. M. Frolov, V. S. Aksenov, I. O. Shamshin, V. I. Zvegintsev, D. A. Vnuchkov, and D. G. Nalivaichenko, Model demonstrator of a continuous-detonation ramjet, Results of tests performed in a wind tunnel, Dokl. Akad. Nauk, 474, No. 1, 51–55 (2017).

    Google Scholar 

  8. L. V. Bezgin, V. I. Kopchenov, A. M. Starik, et al., Numerical analysis of combustion of a hydrogen-air mixture in an advanced ramjet combustor model during activation of O2 molecules by resonant laser radiation, Combust. Explosion Shock Waves, 53, Issue 3, 249–261 (2017).

    Article  Google Scholar 

  9. K. N. Volkov, V. N. Emel'yanov, and M. S. Yakovchuk, Transverse injection of a jet from the surface of a fl at plate into the supersonic flow over it, J. Eng. Phys. Thermophys., 90, No 6, 1439–1444 (2017).

    Article  Google Scholar 

  10. P. K. Tret′yakov, V. A. Zabaikin, and A. N. Prokhorov, High-velocity ramjet with pulse triggering, in: Proc. XI All-Russian Congress on the Fundamental Problems of Theoretical and Applied Mechanics, Izd. Kazan Univ., Kazan (2015), pp. 3778–3780.

  11. V. M. Abashev, A. L. Kuranov, and P. K. Tretyakov, Increase in the efficiency of a high-speed ramjet on hydrocarbon fuel at the flying vehicle acceleration up to M = 6+, Proc. AIP Conf., 1893.020005; https://doi.org/10.1063/1.5007443 (2017).

  12. V. A. Zabaikin, V. L. Krainev, and P. K. Tret′yakov, Control of combustion in a supersonic air flow by a pulse-periodic energy action, in: Proc. XXXVII Academic Readings on Cosmonautics ″Urgent Problems of Russian Cosmonautics,″ 29 January–1 February 2013, Moscow, p. 205.

  13. V. A. Zabaikon and P. K. Tret′yakov, On the possibility of decreasing the losses in the total pressure in the channel of a hypersonic ramjet, in: Proc. XVII School-Seminar ″Modern Problems of Aerohydrodynamics″ held in memory of Acad. G. G. Chernyi in honor of the 55th anniversary of the foundation of the Research Institute of Mechanisms of the Moscow State University, 20–30 August 2014, Izd. Moscow Univ., Moscow (2014), pp. 60–61.

  14. V. P. Zamuraev and A. P. Kalinina, Effect of surface energy pulses on supersonic flow in a channel of variable cross section, J. Eng, Phys. Thermophys., 89, No. 3, 688–694 (2016).

  15. V. V. Vlasenkov, Calculation-Theoretical Models of High-Velocity Gas Flows with Combustion and Detonation in Channels, Doctoral Dissertation in Physics and Mathematics, TsAGI, Zhukovskii (2017).

    Google Scholar 

  16. I. G. Gudich, V. T. Zhukov, K. V. Manukovskii, N. D. Novikova, Yu. G. Rykov, and O. B. Feodoritova, Numerical Simulation of a High-Speed Combustion Chamber with the Use of the OpenFOAM Package, Preprint No. 10 of the Inst. Prikl. Mat. im. M. V. Keldysha, Moscow (2016).

  17. R. K. Seleznev and S. T. Surzhikov, Nonstationary gasdynamic processes in the axisymmetric channel of a hypersonic ramjet with periodic injection of cold air, Fiz.-Khim. Kin. Gas. Din., 16, No. 1–6 (2015).

  18. A. A. Firsov, D. A. Yarantsev, S. B. Leonov, and V. V. Ivanov, Numerical simulation of the combustion of ethylene in a supersonic air fl ow, Komp. Issl. Modelir., 9, No. 1, 75–86 (2017).

    Google Scholar 

  19. V. P. Zamuraev and A. P. Kalinina, On the possibility of formation of a stable transonic region in a supersonic flow in a channel, Tepl. Protsess. Tekh., 8, No. 7, 292–296 (2016).

    Google Scholar 

  20. V. P. Zamuraev and A. P. Kalinina, Study of the geometry effect of the channel with variable cross section under forming transonic region in the supersonic fl ow with energy supply, J. Phys: Conf. Ser., 894, No. 1, 012118 (2017).

  21. V. P. Zamuraev and A. P. Kalinina, Study of the effect of supply of energy and mass on the formation of transonic region in supersonic flow in a channel of variable cross section, Proc. AIP Conf., 1893, 030061; https://doi.org/10.1063/1.5007519 (2017).

  22. S. P. Kiselev, V. P. Kiselev, V. Yu. Liapidevskii, and V. N. Zaikovskii, Modeling of gas fl ows in radial micro-nozzles, J. Phys.: Conf. Ser., 894 012042; https://doi.org/10.1088/1742-6596/894/1/012042

  23. S. I. Isaev, P. A. Baranov, A. G. Sudakov, et al., Control of the periodic turbulent fl ow over a semicircular airfoil with the use of the slot suction of the air from a circular vortex cell at small angles of attack, J. Eng. Phys. Thermophys., 89, No 6, 1500–1504 (2016).

    Article  Google Scholar 

  24. Yue Liu, Xiaorong Guan, and Cheng Xu, A production limiter study of SST-SAS turbulence model for bluff body fl ows, J. Wind Eng. Indust. Aerodyn., 170, 162–178 (2017).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. P. Zamuraev.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 93, No. 1, pp. 143–150, January–February, 2020.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zamuraev, V.P., Kalinina, A.P. Control of the Formation of a Transonic Region in an Axisymmetric Supersonic Flow with the Use of a Jet and a Near-Wall Energy Supply. J Eng Phys Thermophy 93, 136–144 (2020). https://doi.org/10.1007/s10891-020-02101-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-020-02101-y

Keywords

Navigation