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The significance of coherent flow structures for the turbulent mixing ...

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6.4 Properties <strong>of</strong> <strong>coherent</strong> velocity <strong>structures</strong><br />

300<br />

250<br />

200<br />

z<br />

+<br />

150<br />

100<br />

50<br />

300<br />

0<br />

0 50 100 150 200 250 300 350 400 450 500 550<br />

250<br />

??]<br />

x [???]<br />

200<br />

z<br />

+<br />

150<br />

100<br />

50<br />

0<br />

0 50 100 150 200 250 300 350 400 450 500 550<br />

FIGURE 6.21: Velocity fluctuations measured at Ó ® óÜ Ø<br />

.<br />

x<br />

+<br />

??]<br />

x [???]<br />

streaks which appear separated in stream-wise direction at ¿\¨ À belong to <strong>the</strong> same streak<br />

visible at ­.® ¿ ª¥À , <strong>the</strong> decreasing length <strong>of</strong> <strong>the</strong>se <strong>structures</strong> can be considered as an artefact<br />

related to <strong>the</strong> statistical variation <strong>of</strong> <strong>the</strong>ir height. When <strong>the</strong> dynamic <strong>of</strong> <strong>the</strong> streaks is investigated,<br />

it turns out that <strong>the</strong>se <strong>structures</strong> tend to move away from <strong>the</strong> wall, which can be deduced<br />

­.®<br />

from <strong>the</strong> out-<strong>of</strong>-plane motion (blue contours denote a motion away from <strong>the</strong> wall ½ À and<br />

red towards <strong>the</strong> wall · · À ). It is clear that this process is associated with <strong>the</strong> production <strong>of</strong><br />

º<br />

turbulence according to <strong>the</strong> Reynolds equation as ] turb ¿<br />

^R § ·<br />

becomes positive on average.<br />

However it is important to note <strong>the</strong> extent <strong>of</strong> this vertical motion is usually significantly shorter<br />

than <strong>the</strong> total length <strong>of</strong> <strong>the</strong> low-speed streaks at <strong>the</strong> same ­ -value. This is in agreement with <strong>the</strong><br />

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