Skip to main content
Log in

Comparison of Air-Breathing Engines with Slow and Detonation Combustion

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract—

The ramjets of different schemes with slow and detonation combustion are compared. Steady and unsteady processes in these engines are described by simple models of gasdynamics and thermodynamics, detonation waves, air deceleration in air intakes, and combustion product acceleration in supersonic sections of nozzles. Within the framework of these models, at a fixed adiabatic exponent the characteristics of any engine depend on two parameters, namely, the flight Mach number and the dimensionless combustion heat of the combustible mixture. The comparison performed for all actual values of these parameters, together with an analysis of thermodynamic cycles and one-dimensional time-dependent calculations (for the engines with combustion in traveling detonation waves), confirmed the importance of taking the unsteady processes in combustors into account. The comparison made in this study is actual, due to frequent claims about a possible considerable increase in the thrust characteristics on replacement of ramjets with slow combustion under a constant pressure by engines with combustion in pulsed or rotating detonation waves (pulse-detonation engines (PDE) or rotating detonation engines (RDE)). Usually, these assertions are made on the basis of the comparison of the thermal efficiencies and specific thrusts and impulses calculated according to these values. In the case of unsteady flow in the combustor, the recalculation of the thrusts and impulses according to the thermal efficiency overestimates their values. The validity of this statement for multichambered PDEs is confirmed by time-dependent calculations. In the case of instantaneous opening and closing of the entrance into the detonation chambers and an instantaneous, without energy expenditures, detonation wave initiation, the PDE thrust is less than the ramjet thrust, starting from small supersonic flight Mach numbers. Analogous calculations for the RDEs are unjustified due to the passage into a rotating noninertial coordinate system.

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.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.

Similar content being viewed by others

REFERENCES

  1. Ya. B. Zel’dovich, “To the question of energy use of detonation combustion,” Zh. Tekhn. Fiz. 10 (17), 1453–1461 (1940); J. Propulsion Power 22 (3), 588–592 (2006).

    Article  Google Scholar 

  2. E. Wintenberger and J. E. Shepherd, “Introduction to “To the question of energy use of detonation combustion” by Ya. B. Zel’dovich,” J. Propulsion Power 22 (3), 586–587 (2006).

    Article  Google Scholar 

  3. S. M. Frolov, “Pulse detonation engines: introduction,” in: Pulse Detonation Engines (Torus Press, Moscow, 2006), pp. 19–32 [in Russian].

    Google Scholar 

  4. W. H. Heiser and D. T. Pratt, “Thermodynamic cycle analysis of pulse detonation engines,” J. Propulsion Power 18 (1), 68–76 (2002).

    Article  Google Scholar 

  5. J. A. C. Kentfield, “Fundamentals of idealized air-breathing pulse-detonation engines,” J. Propulsion Power 18 (1), 77–83 (2002).

    Article  Google Scholar 

  6. D. G. Talley and E. B. Coy, “Constant volume limit of pulsed propulsion for a constant γ ideal gas,” J. Propulsion Power 18 (2), 400–406 (2002).

    Article  Google Scholar 

  7. J. A. C. Kentfield, “Thermodynamics of air-breathing pulse-detonation engines,” J. Propulsion Power 18 (6), 1170–1175 (2002).

    Article  Google Scholar 

  8. Y. Wu, F. Ma, and V. Yang, “System performance and thermodynamic cycle analysis of air-breathing pulse-detonation engines,” J. Propulsion Power 19 (4), 556–567 (2003).

    Article  Google Scholar 

  9. D. E. Paxson, “Performance evaluation method for ideal air-breathing pulse-detonation engines,” J. Propulsion Power 20 (5), 945–947 (2004).

    Article  Google Scholar 

  10. E. Wintenberger and J. E. Shepherd, “Model for the performance of air-breathing pulse-detonation engines,” J. Propulsion Power 22 (3), 593–603 (2006).

    Article  Google Scholar 

  11. E. Wintenberger and J. E. Shepherd, “Thermodynamic cycle analysis for propagating detonations,” J. Propulsion Power 22 (3), 694–697 (2006).

    Article  Google Scholar 

  12. F. A. Bykovskii, S. A. Zhdan, and E. F. Vedernikov, “Continuous spin detonations,” J. Propulsion Power 22 (6), 1204–1216 (2006).

    Article  Google Scholar 

  13. F. A. Bykovskii and S. A. Zhdan, Continuous Spin Detonation (Lavrent’ev Institute, Novosibirsk, 2013) [in Russian].

    Google Scholar 

  14. R. T. Fievisohn and K. H. Yu, “Steady-state analysis of rotating detonation engine flowfields with the method of characteristics,” J. Propulsion Power 33 (1), 89–99 (2017).

    Article  Google Scholar 

  15. N. Tsuboi, S. Eto, A. K. Hayashi, and T. Kojima, “Front cellular structure and thrust performance on hydrogen-oxygen rotating detonation engine,” J. Propulsion Power 33 (1), 100–111 (2017).

    Article  Google Scholar 

  16. B. A Rankin., T. A. Kaemming, S. W. Theuerkauf, and F. R. Schauer, “Overview of performance, application, and analysis of rotating detonation engine technologies,” J. Propulsion Power 33 (1), 131–143 (2017).

    Article  Google Scholar 

  17. A. V. Dubrovskii, V. S. Ivanov, A. E. Zangiev, and S. M. Frolov, “Three-dimensional numerical simulation of the characteristics of a ramjet power plant with a continuous-detonation combustor in supersonic flight,” Russian J. Phys. Chem. B 10 (3), 469—482 (2016).

    Article  Google Scholar 

  18. S. M. Frolov, V. I. Zvegintsev, V. S. Ivanov, et al., “Continuous detonation combustion of hydrogen. Results of wind tunnel experiments,” Combustion, Explosion and Shock Waves. 54 (3), 357–363 (2018).

    Article  Google Scholar 

  19. S. M. Frolov, V. I. Zvegintsev, V. S. Ivanov, et al., “Model detonation ramjet. Wind tunnel testing in Mach 5.7 air flow at stagnation temperature of 1500 K,” Gorenie Vzryv 11 (1), 54–62 (2018).

    Article  Google Scholar 

  20. S. M. Frolov, V. I. Zvegintsev, V. S. Ivanov, et al., “Wind tunnel testing of a detonation ramjet model at approach air stream Mach number 5.6 and a stagnation temperature of 1500 K,” Doklady Phys. Chem. 481 (1), 100–103 (2018).

    Article  Google Scholar 

  21. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Oxford, Pergamon, 1987).

    Google Scholar 

  22. A. N. Kraiko, Theoretical Gas Dynamics: Classics and the Present (Torus Press, Moscow, 2010) [in Russian].

    Google Scholar 

  23. A. D. Egoryan, A. N. Kraiko, K. S. P’yankov, and A. P. Tishin, “Characteristics of pulse detonation engine versus ramjet characteristics,” Thermophysics Aeromechanics 23 (2), 297–300 (2016).

    Article  ADS  Google Scholar 

  24. V. I. Zvegintsev, “Real and imaginary problems of ramjets,” in: Proc. XXII Intern. Conf. on Computational Mechanics and Modern Applied Software System, Alushta, May 24–31,2019 (Moscow Aviation Institute, 2019), pp. 724–726 [in Russian].

  25. A. N. Kraiko, N. I. Tillyaeva, and S. A. Shcherbakov, “Comparison of integrated characteristics and shapes of profiled contours of Laval nozzles with “smooth” and “abrupt” contraction,” Fluid Dynamics 21 (4), 615–623 (1986).

    Article  ADS  Google Scholar 

  26. A. N. Kraiko, E. V. Myshenkov, K. S. P’yankov, and N. I. Tillyaeva, “Effect of gas non-ideality on the performance of Laval nozzle with an abrupt constriction,” Fluid Dynamics 37 (5), 834—846 (2002).

    Article  Google Scholar 

  27. A. D. Egoryan and K. S. P’yankov, “Characteristics of pulse detonation engines and their comparison with those of a ramjet,” in: Proc. XX Intern. Conf. on Computational Mechanics and Modern Applied Software System, Alushta, May 24–31,2017 (Moscow Aviation Institute, 2017), pp. 447–449 [in Russian].

  28. A. D. Egoryan and A. N. Kraiko, “Comparison of the efficiencies of air-breathing engines with slow combustion and combustion in steady and unsteady detonation waves,” in: Proc. XXIX Scientific and Technical Conf. on Aerodynamics. Moscow Region, Bogdanikha. March 1–2,2018 (TsAGI, Moscow, 2018), pp. 122–124 [in Russian].

  29. A. D. Egoryan and A. N. Kraiko, “Comparison of the performance of ramjets with slow and detonation combustion with respect to their thermal efficiencies and thrust characteristics,” in: Proc. XVIII Intern. Workshop “Models and Methods of Aerodynamics,” Evpatoria, June 4–11,2018 (TsAGI, Moscow 2018), pp. 74–76 [in Russian].

  30. A. D. Egoryan, “Comparison of the thermodynamic efficiencies of air-breathing jet engines with detonation and deflagration combustion,” in: Proc. XXI Intern. Conf. on Computational Mechanics and Modern Applied Software System, Alushta, May 24–31,2018 (Moscow Aviation Institute, 2018), pp. 123–125 [in Russian].

  31. A. N. Kraiko and A. J. Egoryan, “Comparison of thermodynamic efficiency and thrust characteristics of air-breathing jet engines with subsonic combustion and burning in stationary and nonstationary detonation waves,” in: Abstracts of Intern. Conf. on Methods of Aerophysical Research (ICMAR 2018). Part I. Novosibirsk, Russia, August 13–19,2018 (Parallel, Novosibirsk, 2018), pp. 151–152 [in Russian].

  32. A. N. Kraiko, “Comparison of air-breathing engines with slow combustion and combustion in detonation waves,” in: Abstracts of All-Russian Conf. of Young Scientists in Mechanics (YSM-2018), Sochi, September 4–14,2018 (Moscow Univ. Press, 2018), pp. 19–21 [in Russian].

  33. A. N. Kraiko, Kh. F. Valiev, and A. D. Egoryan, “On the “advantages” of detonation combustion and the stability of quasi-one-dimensional steady flows with detonation waves,” in: Abstracts of Intern. Conf. ‘XIV Zababakhin Scientific Talks’, Snezhinsk, March 18—22,2019 (All-Russian Research Inst. Technical Physics, Snezhinsk, 2019), pp. 62–63.

  34. A. N. Kraiko, Kh. F. Valiev, and A. D. Egoryan, “About “advantages” of detonation combustion and the realization of stationary flows with detonation waves in the combustors of air-breathing jet engines,” in: Abstracts of Intern. Conf. ‘XXI Khariton Scientific Readings’, Sarov, April 15—19,2019 (Zababakhin All-Russian Research Inst. Experimental Physics, Sarov, 2019), pp. 12—13.

  35. A. D. Egoryan, “Comparison of air-breathing engines with slow and detonation combustion,” in: Proc. XXII Intern. Conf. on Computational Mechanics and Modern Applied Software System, Alushta, May 24–31,2019 (Moscow Aviation Institute, 2019), pp. 470–472 [in Russian].

  36. V. G. Aleksandrov and A. D. Egoryan, “Comparison of efficiencies of air-breathing engines with detonation and deflagration combustion. Special role of flow unsteadiness in detonation chambers,” in: Abstracts of XII All-Russian Congress on the Fundamental Problems of Theoretical and Applied Mechanics, Ufa, August 19–24,2019 (Bashkir Univ. Press, Ufa, 2019), pp. 93 [in Russian].

  37. A. N. Kraiko and A. D. Egoryan, “Comparison of thermodynamic efficiency and thrust characteristics of air-breathing jet engines with subsonic combustion and burning in stationary and nonstationary detonation waves,” Ed by V. Fomin, in AIP Conf. Proc.2018. V. 2027: Proc. 19th Intern. Conf. Methods of Aerophysical Research (ICMAR 2018) (American Institute of Physics, 2018), pp. 020006-1–020006-5.

  38. A. N. Kraiko, Kh. F. Valiev, and A. D. Egoryan, “About “advantages” of detonation combustion and realization of stationary flows with detonation waves in the combustors of air-breathing jet engines,” in: Proceeding of Int. Conf. XXI Khariton’s Topical Scientific Readings, ed. by A. Mikhailov, (All-Russian Research Inst. Experimental Physics, Sarov, 2019), Vol. 1, pp. 32–40.

Download references

ACKNOWLEDGEMENTS

The authors wish to thank V. G. Aleksandrov, Kh. F. Valiev, and K. S. P’yankov for their assistance.

Funding

The study was carried out with support of the Russian Foundation for Basic Research (projects nos. 17-01-00126 and 18-31-20059).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to A. D. Egoryan or A. N. Kraiko.

Ethics declarations

The Authors declare no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

Additional information

Translated by M. Lebedev

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Egoryan, A.D., Kraiko, A.N. Comparison of Air-Breathing Engines with Slow and Detonation Combustion. Fluid Dyn 55, 264–278 (2020). https://doi.org/10.1134/S0015462820020020

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0015462820020020

Keywords:

Navigation