Abstract:
The interaction of a 3D supersonic turbulent gas flow with a transverse sonic jet injected from the wall has been studied in detail both numerically and experimentally. However, the main drawback of such studies is the lack of detailed description of formation and propagation of vortex structures for moderate and large parameters n (ratio of pressure in the jet to pressure in the flow). Analysis performed in this study is aimed at revelation and detailed explanation of mechanisms of formation of vortices behind the injected sonic jet in a supersonic oncoming flow depending on n for improving the effectiveness of mixing of the jet with the flow. As initial equations, we have used 3D Favre-averaged Navier–Stokes equations closed by the $k$–$\omega$ model of turbulence; these equations are solved using the algorithm based on the essentially nonoscillatory scheme of the third approximation order. We have demonstrated the presence of the following vortex structures known from a number of theoretical publications: two oppositely rotating vortices in front of the jet, a horseshoe vortex; and two pairs formed in the mixing zone between the jet and the flow (one in the wake behind the jet and the other on the lateral line of the jet). We have determined the pressure ratios for which extra pairs of vortices appear (one pair emerges at the Mach disk edge as a result of interaction of a retarded flow of the jet behind the Mach disk with a high-velocity ascending flow behind the barrel and the other pair is formed due to the interaction of the ascending jet flow with the incoming main gas flow). As a result of comparative analysis, the pressure ratios for which a clear pattern of additional horn vortices is observed near the wall in the region behind the jet, have been determined. The dependence of the slope of the bow shock on the pressure ratio has been plotted. It is found that the pressure distribution at the wall in front of the jet in the symmetry plane is in satisfactory agreement with experimental data.
This study was supported by the Ministry of Education and Science of the Republic of Kazakhstan under the grant financing program “Numerical Simulation of Spatial Turbulent Compressible Flows with Injection of Jet and Solid Particle”, 2018–2020, identification no. AP05131555.
Citation:
A. O. Beketaeva, P. Bruel, A. Zh. Naimanova, “Detailed comparative analysis of interaction of a supersonic flow with a transverse gas jet at high pressure ratios”, Zhurnal Tekhnicheskoi Fiziki, 89:10 (2019), 1513–1523; Tech. Phys., 64:10 (2019), 1430–1440
\Bibitem{BekBruNai19}
\by A.~O.~Beketaeva, P.~Bruel, A.~Zh.~Naimanova
\paper Detailed comparative analysis of interaction of a supersonic flow with a transverse gas jet at high pressure ratios
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2019
\vol 89
\issue 10
\pages 1513--1523
\mathnet{http://mi.mathnet.ru/jtf5487}
\crossref{https://doi.org/10.21883/JTF.2019.10.48166.12-19}
\elib{https://elibrary.ru/item.asp?id=41174972}
\transl
\jour Tech. Phys.
\yr 2019
\vol 64
\issue 10
\pages 1430--1440
\crossref{https://doi.org/10.1134/S1063784219100049}
Linking options:
https://www.mathnet.ru/eng/jtf5487
https://www.mathnet.ru/eng/jtf/v89/i10/p1513
This publication is cited in the following 4 articles:
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Altynshash Naimanova, Assel Beketaeva, “A new non‐equilibrium modification of the k-ω$ k-\omega $ turbulence model for supersonic turbulent flows with transverse jet”, Numerical Methods in Fluids, 2024
Assel Beketaeva, Altynshash Naimanova, Gulzana Ashirova, “Numerical analysis of vortex formation and particle dispersion in a supersonic compressible particle-laden mixing layer”, Comp. Part. Mech., 10:5 (2023), 1411
Assel O. Beketaeva, Altynshash Zh. Naimanova, Nurtoleu Shakhan, Akerke Zadauly, “Simulation of the shock wave boundary layer interaction in flat channel with jet injection”, Z Angew Math Mech, 103:8 (2023)
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