Abstract:
A three-dimensional supersonic turbulent flow with symmetric normal injection of circular jets from the channel walls is numerically simulated. The initial Favre-averaged Navier–Stokes equations closed by the $k{-}\omega$ turbulence model are solved by an algorithm based on an ENO scheme. The mechanism of the formation of vortical structures due to the interaction of the jet with the free stream is studied for jet to crossflow total pressure ratios ranging from $3$ to $50$. It is known from experiments reported in the literature that, for $n\ge10$, mixing of the jet with the high-velocity flow leads to the formation of a pair of vortices and of an additional separation zone near the wall behind the jet. It is demonstrated that the present numerical results are consistent with such findings and that the pressure distribution on the wall ahead of the jet in the plane of symmetry is also in reasonable agreement with available experimental data.
Citation:
A. O. Beketaeva, P. Bruel, A. Zh. Naimanova, “Vortical structures behind a transverse jet in a supersonic flow at high jet to crossflow pressure ratios”, Prikl. Mekh. Tekh. Fiz., 56:5 (2015), 50–63; J. Appl. Mech. Tech. Phys., 56:5 (2015), 777–788
\Bibitem{BekBruNai15}
\by A.~O.~Beketaeva, P.~Bruel, A.~Zh.~Naimanova
\paper Vortical structures behind a transverse jet in a supersonic flow at high jet to crossflow pressure ratios
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 5
\pages 50--63
\mathnet{http://mi.mathnet.ru/pmtf897}
\crossref{https://doi.org/10.15372/PMTF20150504}
\elib{https://elibrary.ru/item.asp?id=25454196}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 5
\pages 777--788
\crossref{https://doi.org/10.1134/S0021894415050041}
Linking options:
https://www.mathnet.ru/eng/pmtf897
https://www.mathnet.ru/eng/pmtf/v56/i5/p50
This publication is cited in the following 5 articles:
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 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)
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
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”, Tech. Phys., 64:10 (2019), 1430–1440
Kin Hing Lo, Hossein Zare-Behtash, Konstantinos Kontis, “Control of flow separation on a contour bump by jets in a Mach 1.9 free-stream: An experimental study”, Acta Astronautica, 126 (2016), 229