Unsteady flow conditions and data reduction

The shock motion was imposed by sinusoidal downstream static pressure plane fhctuations. The amplitude and frequency of the perturbations are sum­marized in table 2 and the corresponding reduced frequency are presented in table 3. The reduced frequency based on the BL thickness is considered small enough to justify a quasi-steady response of the turbulence that is compatible with the turbulent model used.

Table 3. Numerical reduced frequency

100Hz 500Hz

1000Hz

100Hz

500Hz

1000Hz

(Basedon Lbump = 184m і

m )

(Based on Sg l =

7m m )

kl

0.5 2.5

5

0.019

0.095

0.19

&2

0.46 1.16

2.33

0.017

0.044

0.089

NB:ki = 2Tf/L with Ui = 231.2m/s or U2 = 248.3m/s

The data reduction consisted in performing an harmonic analysis on both the unsteady pressure distribution and the shock motion. Similarly to exper­iments, the amplitude of each harmonic was divided by the amplitude of the fundamental at the outlet, and the phase angle value at the outlet reference lo­cation was subtracted to all signals, for each harmonic respectively.