Generalized von Neumann criterion for flows with pulsed energy release and a change in the chemical composition of a gas mixture at a Mach stem
Chernyshov M. V.
1, Laptinskaya M. M.
11Baltic State Technical University "VOENMEKH" named after Marshal D. F. Ustinov, St. Petersburg, Russia
Email: chernyshov_mv@voenmeh.ru, laptinskaia_mm@voenmeh.ru
An analog of the von Neumann criterion is analytically derived and numerically studied for changing the type (regular or Mach) reflection of an oblique steady shock if there is a pulsed release or absorption of energy at the Mach reflection, as well as a change in chemical composition of gas mixture on a strong main (Mach) shock. The influence of those factors on the displacement of the generalized criterion obtained is estimated in comparison with the well-known case of flow without chemical reactions and effects of a real gas. Keywords: regular and Mach reflection, von Neumann criterion, detonation.
- G. Ben-Dor, Shock Wave Reflection Phenomena (Springer, Berlin--Heidelberg--N.Y., 2007)
- A.L. Adrianov, A.L. Starykh, V.N. Uskov, Interferentsiya Statsionarnykh Gazodinamicheskikh Razryvov (Nauka, Novosibirsk, 1995) (in Russian)
- V.N. Uskov, M.V. Chernyshov, J. Appl. Mech. Tech. Phys., 47 (4), 492 (2006). DOI: 10.1007/s10808-006-0081-5
- M. Schotz, A. Levy, G. Ben-Dor, O. Igra, Shock Waves, 7 (6), 363 (1997). DOI: 10.1007/s001930050091
- A.V. Omel'chenko, V.N. Uskov, M.V. Chernyshev, Tech. Phys. Lett., 29 (3), 243 (2003). DOI: 10.1134/1.1565647
- C.-Y. Bai, Z.-N. Wu, J. Fluid Mech., 818, 116 (2017). DOI: 10.1017/jfm.2017.139
- S.-G. Choe, Proc. Inst. Mech. Eng. G, 236 (1), 3 (2021). DOI: 10.1177/09544100211001518
- M.S. Ivanov, A.N. Kudryavtsev, A.V. Trotsyuk, V.M. Fomin, Sposob organizatsii detonatsionnogo rezhima goreniya v kamere sgoraniya sverkhzvukovogo pryamotochnogo vozdushno-reaktivnogo dvigatelya, patent RU 2285143 S2 (applied on December 10, 2004; published on October 10, 2006)
- K.E. Savelova, M.M. Alekseeva (Laptinskaya), S.A. Matveev, M.V. Chernyshov, J. Phys.: Conf. Ser., 1959, 012043 (2021). DOI: 10.1088/1742-6596/1959/1/012043
- M.V. Chernyshov, K.E. Savelova, Fluids, 8 (4), 132 (2023). DOI: 10.3103/S1068799823010087
- M.V. Chernyshov, K.E. Savelova, Acta Astron., 226 (1), 876 (2025). DOI: 10.1016/j.actaastro.2024.11.017
- H. Li, G. Ben-Dor, H. Gronig, AIAA J., 35 (11), 1712 (1997). DOI: 10.2514/2.40
- A.E. Medvedev, J. Appl. Mech. Tech. Phys., 42 (2), 211 (2001). DOI: 10.1023/A:1018811516116
- A.V. Trotsyuk, A.N. Kudryavtsev, M.S. Ivanov, in Proc. of Int. Conf. on Recent Advances in Space Technologies (IEEE, 2003), p. 495--503. DOI: 10.1109/RAST.2003.1303966
- L.F. Henderson, ZAMM --- J. Appl. Math. Mech., 62 (6), 258 (1982). DOI: 10.1002/zamm.19820620608