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Journal of Applied Mechanics and Technical Physics

2015 year, number 5

VORTICAL STRUCTURES BEHIND A TRANSVERSE JET IN A SUPERSONICFLOW AT HIGH JET TO CROSSFLOW PRESSURE RATIOS

A. O. Beketaeva1, P. Bruel2, A. Zh. Naimanova1
1Institute of Mathematics at the Ministry of Education andSciences of the Kazakhstan Republic, Alma-Ata, 050010 Kazakhstan
2National Center of ScientificResearch (CNRS), Pau, France
Keywords: численное моделирование, сверхзвуковое течение, совершенный газ, пограничный слой, уравнения Навье--- Стокса, параметрнерасчетности, ударнаяволна, numericalsimulation, supersonic flow, perfect gas, boundary layer, Navier--Stokes equations, jet pressure ratio, shock wave

Abstract

A three-dimensional supersonic turbulent flow withsymmetric normal injection of circular jets from the channel walls isnumerically simulated. The initial Favre-averaged Navier-Stokesequations closed by the $k$--$\omega$ turbulence model are solved by analgorithm based on an ENO scheme. The mechanism of the formation ofvortical structures due to the interaction of the jet with the freestream is studied for jet to crossflow total pressure ratios rangingfrom 3 to 50. It is known from experiments reported in the literaturethat, for $n\ge 10$, mixing of the jet with the high-velocity flowleads to the formation of a pair of vortices and of an additionalseparation zone near the wall behind the jet. It is demonstrated thatthe present numerical results are consistent with such findings andthat the pressure distribution on the wall ahead of the jet in theplane of symmetry is also in reasonable agreement with availableexperimental data.