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Numerical Study of Passive and Active Flow Separation Control ...

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Angle <strong>of</strong><br />

attack<br />

α<br />

6°<br />

4. <strong>Numerical</strong> Results<br />

Table 2. Computational parameters<br />

Reynolds<br />

number<br />

Re<br />

= U C / υ<br />

∞<br />

∞<br />

16<br />

Mach<br />

number<br />

M<br />

Grid nodes<br />

N × N × N<br />

5<br />

10 0.2 840 × 90 × 120<br />

The numerical simulations include three cases: uncontrolled flow separation (baseline<br />

case), flow separation control with a pair <strong>of</strong> passive vortex generators (Case 1), <strong>and</strong> flow<br />

separation control with a pair <strong>of</strong> active vortex generators (Case 2). The flow conditions<br />

<strong>and</strong> mesh used are exactly the same for all three cases. The numerical simulation results<br />

are summarized <strong>and</strong> compared in the following subsections.<br />

4.1 Baseline Case<br />

In the baseline case, the vortex generators are at their fully retracted position. The<br />

typical feature <strong>of</strong> the flow field can be seen from a side view <strong>of</strong> the isosurface <strong>of</strong><br />

instantaneous spanwise vorticity with ω = 30 as depicted in Fig. 10. The separation <strong>of</strong><br />

y<br />

free shear layer from the airfoil surface, vortex shedding from the separated shear layer,<br />

reattachment <strong>of</strong> the shear layer, <strong>and</strong> breakdown to turbulence in the boundary layer can<br />

be seen clearly in the figure.<br />

Fig. 10. Isosurface <strong>of</strong> instantaneous spanwise vorticity ( ω = 30 )<br />

Fig. 11 shows the time- <strong>and</strong> spanwise-averaged velocity vectors at every third<br />

streamwise grid location <strong>and</strong> the contours <strong>of</strong> streamwise velocity. The time-average was<br />

performed over a time period <strong>of</strong> 15 ∞ U C / . The contours <strong>of</strong> the reversed flow with<br />

negative streamwise velocity are plotted in a dark color. The mean flow field in Fig. 11<br />

ξ<br />

η<br />

y<br />

ζ

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