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

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FIGURE 5.13: ç Ï®Ïlè ØUÚ Å/ÛeÜÝÅÛeÜŒÅÞ Ø ÜÝÅ*é , ç ÑÑŒè ØUÚ Å/ÛeÜÝÅÛeÜÝÅÞ Ø ÜÝÅé and ç Ò4Ò/è ØUÚ Å/ÛeÜŒÅ/ÛeÜÝÅöÞ Ø ÜŒÅêé<br />

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5 Investigation <strong>of</strong> <strong>the</strong> xy-plane<br />

in <strong>the</strong> right column <strong>of</strong> figure 5.11 are strongly elongated close to <strong>the</strong> wall and it can be seen<br />

that a remarkable region <strong>of</strong> negative correlation (dashed line) exists above <strong>the</strong> region <strong>of</strong> positive<br />

correlation (solid line). For larger wall distances such a region <strong>of</strong> negative correlation<br />

can be observed below <strong>the</strong> main structure but with reduced intensity. In addition it can be<br />

seen that <strong>the</strong> main structure is slightly inclined relative to <strong>the</strong> stream-wise coordinate and that<br />

<strong>the</strong> inclination angle increases in stream-wise direction. Figure<br />

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shows<br />

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comparison<br />

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between<br />

<strong>the</strong> investigations ¼×<br />

per<strong>for</strong>med at (solid symbols) and (opaque<br />

¼×<br />

¢ <br />

symbols). <strong>The</strong> left column reveals <strong>the</strong> stream-wise<br />

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dependence<br />

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

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<strong>the</strong><br />

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primary correlations<br />

measured at and <strong>the</strong> right column <strong>the</strong> Ä Å<br />

corresponding dependence<br />

on <strong>the</strong> location <strong>of</strong> <strong>the</strong> fixed point from <strong>the</strong> wall. Although <strong>the</strong> general dependence <strong>of</strong> <strong>the</strong><br />

correlations agrees fairly well when compared in wall-units, <strong>the</strong> correlation value <strong>of</strong> <strong>the</strong> high<br />

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(left), ç Ï'Ï Ï®Ï è ØUÚ Å ÛeÜ Å ÛeÜ Å Þ Ø Ü Å é , ç ÑÑ ÑÑ è ØÚ Å ÛeÜ Å ÛeÜ Å Þ Ø Ü Å é and ç è ØÚ Å ÛeÜ Å ÛeÜ Å Þ Ø Ü Å é<br />

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(right) çNì<br />

measured at . <strong>The</strong> maximum <strong>of</strong> correlation indicates <strong>the</strong> position <strong>of</strong> <strong>the</strong> fixed point<br />

(same symbols as in figure 5.9).<br />

88<br />

ËBíî

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