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

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2.4 Particle image analysis<br />

is identical but <strong>the</strong> noise uncorrelated [27]. Once this has been done, <strong>the</strong> signal peak can<br />

be clearly detected by calculating a correlation <strong>of</strong> <strong>the</strong> correlation (<strong>the</strong> uncorrelated noise will<br />

vanish), but again it should be taken into account that evaluation schemes based on few particle<br />

images are highly sensitive to noise that is introduced by <strong>the</strong> characteristics <strong>of</strong> digital cameras.<br />

In order to enhance <strong>the</strong> signal quality when strong in-plane gradients are present, Huang et al<br />

[33] has proposed to trans<strong>for</strong>m <strong>the</strong> image in such a way that <strong>the</strong> de<strong>for</strong>mation vanishes after<br />

<strong>the</strong> mapping, see also [22]. This approach works fine as long as <strong>the</strong> <strong>flow</strong><br />

^¡<br />

under<br />

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consideration<br />

possesses (˜<br />

only ˜<br />

in-plane gradients ˜sš<br />

, ˜sš<br />

and , ˜ñ). In case <strong>of</strong><br />

^¡<br />

strong out<strong>of</strong>-plane<br />

gradients ) this and most <strong>of</strong> <strong>the</strong> o<strong>the</strong>r sophisticated methods will fail, as can<br />

(˜<br />

be easily realized by considering a <strong>turbulent</strong> boundary layer experiment with a light-sheet<br />

parallel to <strong>the</strong> flat plate. Under <strong>the</strong>se conditions <strong>the</strong> apparent particle image gradients caused<br />

by particles from different layers cannot be compensated because <strong>of</strong> arising instabilities in <strong>the</strong><br />

image analysis.<br />

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35

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