DOI: 10.17586/2226-1494-2015-15-5-942-949


P. V. Bulat, P. V. Denissenko, V. V. Upyrev

Read the full article 
Article in Russian

For citation: Bulat P.V., Denissenko P.V., Upyrev V.V. Asymmetrical interference of counter oblique shock waves.Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2015, vol. 15, no. 5, pp. 942–949.


Subject of Study. The paper deals with data on the interference of shock waves with different intensity and slope angles to the flow of them. This problem is related to the problem of designing air intakes to the internal compression and detonation combustion engines in stationary overdriven detonation wave. A regular form of interference and irregular Mach one are considered. Intensity calculations of reflected shock waves for both cases are given. As shown below, there is a possibility of a very large difference in the intensity of the reflected shocks. Main Results. We describe transition criteria from regular to irregular reflection of counter shocks: von Neumann criterion and a stationary Mach configuration criterion. Intensity dependences of the reflected intensity shocks from the interaction of colliding shock waves are presented both for the case of regular interaction, and irregular interference. We demonstrate intensity dependence of a reflected shock wave on the intensity of the two interacting shock waves, as in the transition from regular to irregular reflection, in accordance with von Neumann detaching criterion, and in accordance with a stationary Mach configuration criterion. In the first case, the transition is accompanied by an abrupt change in the intensity of the reflected shock; in the second case, the intensity varies in a continuous manner. Practical Relevance. The results supplement interference theory of stationary gas-dynamic discontinuities and are usable in the design of advanced air intakes of internal compression supersonic and hypersonic aircrafts.

Keywords: shock wave, Mach reflection, counter shock waves, shock-wave structure, hysteresis.

Acknowledgements. The work was carried out under financial support from the Ministry of Education and Science of the Russian Federation (Agreement No.14.575.21.0057).

1. Bulat P.V., Denisenko P.V., Prodan N.V. Interference of counterpropagating shock waves. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2015, vol.15, no. 2, pp. 346–355. doi: 10.17586/2226-1494-2015-15-2-346-355. (In Russian)
2. Bulat P.V., Upyrev V.V., Denisenko P.V. Oblique shock wave reflection from the wall. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2015, vol.15, no. 2, pp. 338–345. doi: 10.17586/2226-1494-2015-15-2-338-345. (In Russian)
3. Uskov V.N., Bulat P.V., Prodan N.V. History of study of the irregular reflection of shock wave from the symmetry axis with a supersonic jet Mach disk. Fundamental'nye Issledovaniya, 2012, no. 9–2, pp. 414– 420. (In Russian)
4. Ben-Dor G. Two-dimensional interactions. In Handbook of Shock Waves. Eds G. Ben-Dor, O. Igra, T. Elperin. Boston, Academic Press, 2001, 824 p.
5. Fomin V.M., Hornung H.G., Ivanov M.S., Kharitonov A.M., Klemenkov G.P., Kudryavtsev A.N., Pavlov A.A. The study of transition between regular and Mach reflection of shock waves in different wind tunnels. Proc. 12th Int. Mach Reflection Symposium. Pilanesberg, South Africa, 1996, pp. 137–151.
6. Drayna T.W., Nompelis I., Candler G.V. Hypersonic inward turning inlets: design and optimization. Proc. 44th AIAA Aerospace Sciences Meeting. Reno, USA, 2006, vol. 5, pp. 3538–3548.
7. Bulat P.V., Ilina E.E. The problem of creating detonation engine – current trends in aerospace engine manufacturing. Fundamental'nye Issledovaniya, 2013, no. 10–10, pp. 2140–2142. (In Russian)
8. Dunlap R., Brehm R.L., Nicholls J.A. A preliminary study of the application of steady-state detonative combustion to a reaction engine. Jet Propulsion, 1958, vol. 28, pp. 451–456.
9. Cambier J.-L., Adelman H., Menees G.P. Numerical simulations of an oblique detonation wave engine. Journal of Propulsion and Power, 1990, vol. 6, no. 3, pp. 315–323. doi: 10.2514/3.25436
10. Choi J.-Y., Jeung I.-S., Yoon Y. Numerical study of scram accelerator starting characteristics. AIAA Journal, 1998, vol. 36, no. 6, pp. 1029–1038.
11. Ivanov M.S., Kudrjavtsev A.N., Trotsjuk A.V., Fomin V.M. Method of Organization of Detonation Combustion Chamber of Supersonic Ramjet Engine. Patent RU2285143.
12. Aleksandrov V.G., Vedeshkin G.K., Kraiko A.N., Ogorodnikov D.A., Reent K.S., Skibin V.A., Chernyi G.G. Sverkhzvukovoi Pul'siruyushchii Detonatsionnyi Pryamotochnyi Vozdushno-Reaktivnyi Dvigatel' (SPDPD) i Sposob Funktsionirovaniya SPDPD. Patent RU 2157909.
13. Molder S. Head-on interaction of oblique shock waves. University of Toronto Institute of Aerophysics Technical Note, 1960, no. 38.
14. Adrianov A.L., Starykh A.L., Uskov V.N. Interferentsiya Statsionarnykh Gazodinamicheskikh Razryvov [Interference Stationary Gasdynamic Discontinuities]. Novosibirsk, Nauka Publ., 1995, 180 p.
15. Ivanov M.S., Ben-Dor G., Elperin Т., Kudryavtsev A.N., Khotyanovsky D.V. The reflection of asymmetric shock waves in steady flows: a numerical investigation. Journal of Fluid Mechanics, 2002, vol. 469, pp. 71– 87. doi: 10.1017/S0022112002001799
Copyright 2001-2018 ©
Scientific and Technical Journal
of Information Technologies, Mechanics and Optics.
All rights reserved.