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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2015 Volume 56, Issue 5, Pages 50–63 (Mi pmtf897)

This article is cited in 5 papers

Vortical structures behind a transverse jet in a supersonic flow at high jet to crossflow pressure ratios

A. O. Beketaevaa, P. Bruelb, A. Zh. Naimanovaa

a Institute of Mathematics at the Ministry of Education and Sciences of the Kazakhstan Republic, Alma-Ata, 050010, Kazakhstan
b National Center of Scientific Research (CNRS), Pau, France

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.

Keywords: numerical simulation, supersonic flow, perfect gas, boundary layer, Navier–Stokes equations, jet pressure ratio, shock wave.

UDC: 532.526

Received: 31.03.2014
Revised: 27.02.2015

DOI: 10.15372/PMTF20150504


 English version:
Journal of Applied Mechanics and Technical Physics, 2015, 56:5, 777–788

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