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

diameter, surrounded by a dark background. <strong>The</strong> loss <strong>of</strong> light associated with this setting was<br />

compensated by combining <strong>the</strong> output beams <strong>of</strong> four independent Nd:YAG laser cavities (BMI<br />

model 5013 DNS 10), each approximately 255 mJ output energy per pulse ×XØ È¿Â0Û at nm (see<br />

figure 4.2 on page 52) and by triggering <strong>the</strong> system in such a way that always two differently<br />

polarised pulses leave <strong>the</strong> laser-heads simultaneously. It is clear that always a delay <strong>of</strong> <strong>the</strong><br />

order <strong>of</strong> <strong>the</strong> pulse length must exist between <strong>the</strong> two pulses to avoid laser induced damage<br />

<strong>of</strong> <strong>the</strong> frequency doubler crystal due to <strong>the</strong> high peak intensity, which might occur when <strong>the</strong><br />

two beams interfere. Usually, this is automatically realized because <strong>the</strong> time accuracy <strong>of</strong> <strong>the</strong><br />

PIV triggering systems is not suited to superimpose exactly two ÆÁÌÈ m long light pulses (È ns<br />

pulse duration assumed) travelling with speed <strong>of</strong> †ÄÐƾzy m/s. <strong>The</strong> ¾ÁÃß mm light-sheet was<br />

<strong>for</strong>med by three appropriate cylindrical and spherical lenses mounted in an optical bench and<br />

directed into <strong>the</strong> test-section by using a properly coated mirror, see section 4.6. To ensure<br />

that <strong>the</strong> measurement plane is aligned with respect to <strong>the</strong> stream-wise wall-normal plane, <strong>the</strong><br />

cylindrical lens was rotated until <strong>the</strong> light-sheet reflection at <strong>the</strong> ceiling was parallel with a<br />

mark indicating <strong>the</strong> centreline <strong>of</strong> <strong>the</strong> wind-tunnel and <strong>the</strong> mirror was tilted in such a way that<br />

<strong>the</strong> weak light-sheet reflections, coming from <strong>the</strong> ceiling- and floor-window <strong>of</strong> <strong>the</strong> test-section,<br />

coincide on <strong>the</strong> mirror with <strong>the</strong> light-sheet coming from <strong>the</strong> optical system.<br />

<strong>The</strong> tracer particles generated <strong>for</strong> this experiment were delivered from a smoke generator<br />

which produces high concentrations <strong>of</strong> monodisperse poly-ethylene-glycol particles with<br />

a mean diameter <strong>of</strong> Û@Õ m according to figure 2.4 on page 18 or [47]. To obtain ideal conditions<br />

<strong>for</strong> accurate PIV measurements, <strong>the</strong> closed circuit wind-tunnel was completely seeded<br />

and continuously operated until no seeding inhomogeneities could be observed at all. During<br />

this procedure all diffuse wall reflections, caused by <strong>the</strong> interaction <strong>of</strong> <strong>the</strong> laser-light with<br />

tracer particles sticked on <strong>the</strong> wall, were removed with appropriate liquids and pressurised air<br />

while <strong>the</strong> wind-tunnel was running at a moderate speed. <strong>The</strong> operation <strong>of</strong> <strong>the</strong> wind-tunnel is<br />

essential, and should never be stopped be<strong>for</strong>e <strong>the</strong> experiment is finished in order to avoid any<br />

settling <strong>of</strong> <strong>the</strong> tracer particles which might deteriorate <strong>the</strong> per<strong>for</strong>mance <strong>of</strong> <strong>the</strong> measurements.<br />

As <strong>the</strong>se particles follow <strong>the</strong> <strong>flow</strong> precisely, no settling <strong>of</strong> <strong>the</strong> particles or o<strong>the</strong>r diffuse reflections<br />

could be observed on <strong>the</strong> acquired data while <strong>the</strong> experiment was running. Only a tiny<br />

bright line <strong>of</strong> <strong>the</strong> wall reflection (Â pixel wide) was visible due to <strong>the</strong> glass / air interface. After<br />

<strong>the</strong> experiment, this line was detected by using correlation algorithms in order to determine<br />

<strong>the</strong> position <strong>of</strong> <strong>the</strong> wall with sub-pixel accuracy.<br />

For <strong>the</strong> evaluation <strong>of</strong> <strong>the</strong> stereo-scopic images <strong>the</strong> second order warping technique, outlined<br />

in section 3.2, was applied along with <strong>the</strong> calibration validation procedure to ensure that<br />

<strong>the</strong> interrogation spots from each <strong>of</strong> a pair <strong>of</strong> stereo-scopic images correspond exactly to <strong>the</strong><br />

same region <strong>of</strong> <strong>the</strong> <strong>flow</strong>, see section 3.3. <strong>The</strong> interrogation <strong>of</strong> <strong>the</strong> data was per<strong>for</strong>med with<br />

<strong>the</strong> FFT-based free shape cross-correlation and <strong>for</strong> <strong>the</strong> peak detection with sub-pixel accuracy<br />

<strong>the</strong> two-dimensional Gaussian fit was applied. This peak finding method is less sensitive<br />

to sub-pixel displacements compared with <strong>the</strong> three point Gaussian peak fit, see figure 2.13<br />

and 2.14. For <strong>the</strong> calculation <strong>of</strong> <strong>the</strong> velocity Â0ÛÓÄœÂ0Û vectors pixel ß¿ËFÄ Æß and pixel interrogation<br />

windows were selected. Because <strong>of</strong> <strong>the</strong> increased spatial resolution <strong>of</strong> <strong>the</strong> stretched<br />

windows in wall-normal direction spatial averaging effects could be easily estimated from <strong>the</strong><br />

per<strong>for</strong>med evaluation. It should be noted that an aspect ratio <strong>of</strong> 4 between <strong>the</strong> stream-wise<br />

and wall-normal dimensions <strong>of</strong> <strong>the</strong> measurement volume is relatively moderate regarding <strong>the</strong><br />

typical values which are applied in numerical <strong>flow</strong> simulations. <strong>The</strong> evaluation <strong>of</strong> <strong>the</strong> data was<br />

per<strong>for</strong>med in parallel on an eight processor high per<strong>for</strong>mance SGI computer, and a raid sys-<br />

74

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