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4 Multiplane Stereo Particle Image Velocimetry<br />

y<br />

δ<br />

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FIGURE 4.14: Development Ñ <strong>of</strong> -vortices<br />

along a flat plate (side and top view). <strong>The</strong><br />

rectangles represent <strong>the</strong> light-sheet position and<br />

field <strong>of</strong> view.<br />

λx<br />

λ z<br />

ment. For <strong>the</strong> illumination <strong>of</strong> <strong>the</strong> ÆÖÕ m olive oil droplets, generated by means <strong>of</strong> multi-hole<br />

nozzles described in section 2.2, a four pulse Nd:YAG laser-system (Quantel Brillant B) in <strong>the</strong><br />

configuration shown in figure 4.2 with an output energy <strong>of</strong> 320 mJ per pulse at ×ÙØÚÈ¿Â0Û nm<br />

was used. Due to <strong>the</strong> small boundary layer thickness at <strong>the</strong> beginning <strong>of</strong> <strong>the</strong> measurement<br />

position (ÜÝØVÈ mm) a combination <strong>of</strong> four lenses (focal length in mm: -150 (bi-concave), 200<br />

(bi-convex), 60 and 100 (both planar convex)) was necessary to <strong>for</strong>m a sufficiently thin lightsheet<br />

(¾ÁÌÈ mm) nearly constant in thickness <strong>for</strong> over more than Æ m. For <strong>the</strong> recording <strong>of</strong> <strong>the</strong><br />

particle images four Peltier cooled PCO cameras were used with ÆÛ¿Þ¾ÝÄFƾ0Û[Ë pixel resolution<br />

and 12 Bit dynamic range at 12.5 MHz readout frequency. <strong>The</strong> read-out noise <strong>of</strong> <strong>the</strong> PCI interface<br />

board is less than 8 electrons. <strong>The</strong> pixel size is ßÁÉÎ@Õ mÊ and <strong>the</strong> dimension <strong>of</strong> <strong>the</strong> chip is<br />

Ûà¿Â?á á . For magnification and field <strong>of</strong> view adjustments (necessary <strong>for</strong> maximising <strong>the</strong> amount<br />

<strong>of</strong> stereo in<strong>for</strong>mation) all Scheimpflug-adapters were mounted on a two-axis linear translation<br />

stage which allows high precision translations by thumb screws. <strong>The</strong> opening angle between<br />

<strong>the</strong> cameras was âãØäË0¾ À and <strong>the</strong> magnification factor on <strong>the</strong> optical axis M=0.1 <strong>for</strong> all cameras.<br />

For <strong>the</strong> imaging four 60 mm macro planar lenses (Carl Zeiss) were used with an aperture<br />

<strong>of</strong> 8 to avoid optical aberrations introduced by <strong>the</strong> optical components in a non-collimated<br />

beam according to section 4.7. After <strong>the</strong> beam-splitter and <strong>the</strong> ×màÛ plates had been properly<br />

aligned, polarisation changes during <strong>the</strong> scattering process (at very large particles or particle<br />

clusters) or <strong>the</strong> diffraction at <strong>the</strong> test-section window as outlined in section 4.6 could not be<br />

observed under <strong>the</strong>se conditions. Usually <strong>the</strong> intensity <strong>of</strong> ghost-images due to polarisation<br />

changes during <strong>the</strong> scattering process is far below <strong>the</strong> minimum sensitivity level <strong>of</strong> <strong>the</strong> CCD<br />

sensor (<strong>for</strong> small particles). However, when polarisation effects occur time separation can be<br />

applied as well, as long as <strong>the</strong> separation between <strong>the</strong> first orthogonally polarised light pulse<br />

pair is negligible, e.g. <strong>the</strong> position <strong>of</strong> <strong>the</strong> particle image remains constant in terms <strong>of</strong> digital<br />

registration. In this case, which holds <strong>for</strong> a wide range <strong>of</strong> <strong>flow</strong> velocities, a difference between<br />

instantaneous and time separated measurements cannot be observed. Technologically,<br />

this can be done by transferring <strong>the</strong> first acquired images right behind <strong>the</strong> first illumination so<br />

that <strong>the</strong> second illumination with differently polarised light cannot be recorded by means <strong>of</strong><br />

<strong>the</strong> previous system.<br />

To trigger all necessary components quickly and easily, a 16 channel sequencer-board with<br />

66

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