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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 />

Q4<br />

z<br />

+<br />

200<br />

150<br />

Vortex pair<br />

Q4<br />

Vortex pair<br />

Q4<br />

Vortex pair<br />

100<br />

Q2<br />

50<br />

Q4<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 6.28: Velocity fluctuations measured simultaneously at Ó ® Ö¥Ø<br />

(top) and Ó ® Ú¥Ø<br />

.<br />

x<br />

+<br />

??]<br />

x [???]<br />

directly associated with <strong>the</strong> low-speed streaks. As <strong>the</strong>se <strong>flow</strong> <strong>structures</strong> appear frequently in<br />

<strong>the</strong> near-wall region according to figure 6.21 to 6.30, <strong>the</strong> high detection rate in <strong>the</strong> hot wire<br />

results is not surprising and also <strong>the</strong> strong variation <strong>of</strong> <strong>the</strong> pattern length can be explained.<br />

<strong>The</strong> maximum length is given by <strong>the</strong> extension <strong>of</strong> <strong>the</strong> streaks, which can be longer than 1000<br />

wall-units, and <strong>the</strong> lower limit <strong>of</strong> <strong>the</strong> length appears when only <strong>the</strong> cross-section <strong>of</strong> a narrow<br />

streak convects along <strong>the</strong> probe. Since <strong>the</strong> streaks are only slightly twisted, <strong>the</strong> projection <strong>of</strong><br />

<strong>the</strong> width <strong>of</strong> <strong>the</strong> cross-section in stream-wise direction is <strong>the</strong> relevant parameter <strong>for</strong> <strong>the</strong> lower<br />

limit <strong>of</strong> <strong>the</strong> pattern length. As <strong>the</strong> minimum width is approximately 30 wall units, according<br />

to section 6.2.2, and <strong>the</strong> maximum angle between <strong>the</strong> stream-wise coordinate and <strong>the</strong> streak<br />

131

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