Khotyanovsky D.   Kudryavtsev A.   Kosinov A.D.  

Numerical study of the interaction of the N-wave with the plate leading edge in the supersonic stream

Reporter: Khotyanovsky D.

Three-dimensional numerical simulations of the interaction of the plane N-wave propagating at an angle to the free stream in the transverse direction with the leading edge of the plate have been performed. Computations are performed for the models with sharp and blunted leading edges at the experimental conditions: Mach number M = 2 and unit Reynolds number 8∙106 м-1.

The numerical results show that the interaction of the N-wave with a weak shock attached to the leading edge of the sharp plate causes corrugation of the shock wave surface that propagates downstream. At the same time, steady pressure perturbation is formed that propagates in the transverse direction inside the boundary layer at an angle close to the Mach angle. This leads to curving of the streamlines in the boundary layer, generation of steady disturbances of the transverse and normal components of velocity and, consequently, the longitudinal component of the vorticity.

In the case of the N-wave impinging on the leading edge of the blunted plate, two weak oblique shock waves interact with a detached bow shock of large intensity. In this case, the perturbation of the bow shock surface is relatively weak. There is a large subsonic zone behind the bow shock where the pronounced oblique directivity of the disturbance transmitted through the shock is declined. Nevertheless, local disturbances of the flow parameters are observed in the boundary layer downstream of the region of the contact of the oblique shocks of the N-wave with the bow shock.

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