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

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3 Stereo-scopic Particle Image<br />

Velocimetry<br />

<strong>The</strong> conventional PIV technique described in <strong>the</strong> previous sections yields reliable results as<br />

long as <strong>the</strong> <strong>flow</strong> under investigation is two-dimensional and parallel to <strong>the</strong> light-sheet. In case<br />

<strong>of</strong> <strong>turbulent</strong> <strong>flow</strong>s with a strong velocity component being normal to <strong>the</strong> light-sheet, <strong>the</strong> out<strong>of</strong>-plane<br />

velocity component remains unknown and <strong>the</strong> in-plane components are biased due to<br />

<strong>the</strong> perspective error as indicated in figure 3.1 <strong>for</strong> a simulated <strong>flow</strong> with a pure out-<strong>of</strong>-plane<br />

velocity component.<br />

FIGURE 3.1: Magnitude<br />

and direction <strong>of</strong> <strong>the</strong><br />

projection-error as a function<br />

<strong>of</strong> <strong>the</strong> image location<br />

<strong>for</strong> a constant out-<strong>of</strong>-plane<br />

displacement.<br />

As this error is directly proportional to <strong>the</strong> viewing angle, according to figure 3.1, <strong>the</strong> object<br />

distance must be increased to minimise <strong>the</strong> error while keeping <strong>the</strong> field <strong>of</strong> view. As this<br />

approach requires long focal length lenses it is obvious that this approach is not satisfactory.<br />

To overcome this constraint completely and to obtain <strong>the</strong> out-<strong>of</strong>-plane velocity component, a<br />

stereoscopic observation arrangement has to be applied, which will be outlined in <strong>the</strong> following<br />

sections.<br />

3.1 Principles<br />

Using <strong>the</strong> stereoscopic recording technique, <strong>the</strong> images <strong>of</strong> tracer particles are recorded simultaneously<br />

from two different viewing directions, and <strong>the</strong> correct displacement (without<br />

37

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