Numerical simulation of the interaction between a supersonic viscous gas flow and a transverse jet injected at an angle from the slot in a flat plate
DOI:
https://doi.org/10.7242/1999-6691/2026.19.1.7Keywords:
high-speed flows, numerical simulation, RANS, viscous-inviscid interaction, slot injection, transverse jetAbstract
This paper presents the results of a comprehensive numerical study of the interaction between a supersonic air flow with a Mach number of 3.5 and a stationary jet injected through a slot in a streamlined plate. The mathematical model is based on the Reynolds-averaged Navier–Stokes equations, which are solved by the finite volume method. In the first stage, methodological calculations were performed to substantiate the choice of optimal parameters for the computational grid, the convective flow approximation scheme, and the turbulence model. It was found that the best fit to the experimental data is achieved by combining the Spalart–Allmaras turbulence model allowing for compressibility and the second-order AUSM+up scheme. After validating the computational methodology, a systematic parametric study was conducted to examine the influence of two factors: the relative pressure in the jet (in the range from 8.74 to 63.5) and the injection angle (from –30 to 30◦). It is shown that increasing the jet intensity leads to a nearly linear increase in the length of the separation zone in front of the slot, the depth of jet penetration in the cross flow, and the resulting force acting on the plate. The highest injection efficiency, characterized by the gain factor, is achieved at a relative pressure of 17.12; its further increase is accompanied by an enhancement of the shock-wave interaction and a decrease in efficiency. The study of the influence of injection angle revealed a pronounced asymmetry between the concurrent and countercurrent injected jets. The countercurrent injection leads to the formation of extensive separation zones, intense shock waves, and significant total pressure losses. By contrast, the concurrent injection forces the jet against the surface, weakens the shock-wave structure, and reduces losses.
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