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

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As order can be always observed when <strong>the</strong> convection term in <strong>the</strong> equation <strong>of</strong> motion<br />

is dominant over <strong>the</strong> production, diffusion and dissipation term, <strong>the</strong>re is no doubt about <strong>the</strong><br />

existence <strong>of</strong> organised <strong>flow</strong> <strong>structures</strong>. However, <strong>the</strong>ir exact geometrical and kinematical properties<br />

are widely unknown and <strong>the</strong>re is still a general controversy about which <strong>structures</strong> are<br />

fundamental and which ones are only secondary, which ones are dominant and which ones are<br />

irrelevant [73, 86, 87, 94]. Based on <strong>the</strong> technological progress in laser, camera and computer<br />

technology in <strong>the</strong> last decade <strong>of</strong> <strong>the</strong> 20th century, it became possible to link <strong>the</strong> qualitative<br />

visualisations with <strong>the</strong> statistical results from <strong>the</strong> quantitative single-point measurements by<br />

applying non-intrusive optical multi-point measurement techniques such as <strong>the</strong> conventional<br />

and stereoscopic particle image velocimety, see [4, 38, 44, 74] <strong>for</strong> example, and it was partially<br />

possible to prove <strong>the</strong> validity <strong>of</strong> <strong>the</strong> proposed vortical models. However, due to <strong>the</strong> measurement<br />

noise and <strong>the</strong> limited spatial resolution, storage capacity and computer power at that<br />

time, only <strong>the</strong> properties <strong>of</strong> <strong>the</strong> large-scale structure could be deduced from a small number <strong>of</strong><br />

samples. <strong>The</strong> in<strong>for</strong>mation about <strong>the</strong> geometrical and kinematical properties <strong>of</strong> <strong>the</strong> small-scale<br />

<strong>structures</strong> on <strong>the</strong> o<strong>the</strong>r hand is still uncertain and also a consistent physical picture, which<br />

links <strong>the</strong> basic processes and explains <strong>the</strong>ir importance with regard to <strong>the</strong> <strong>turbulent</strong> transport<br />

is missing [31, 76, 86, 89, 94]. <strong>The</strong>re is no doubt that fur<strong>the</strong>r sophisticated experimental or<br />

numerical investigations are required to solve <strong>the</strong>se questions and to add ano<strong>the</strong>r piece to <strong>the</strong><br />

puzzle <strong>of</strong> near-wall turbulence. As a direct numerical integration <strong>of</strong> <strong>the</strong> conservation equations<br />

is still out <strong>of</strong> reach, especially at high Reynolds numbers, it is generally believed that<br />

deeper insight strongly relies on <strong>the</strong> capabilities <strong>of</strong> advanced measurement techniques. To<br />

overcome <strong>the</strong> limitations <strong>of</strong> <strong>the</strong> existing measuring and visualisation techniques applied in<br />

fluid mechanics a stereo-scopic particle image velocimetry based measurement system was<br />

developed and applied <strong>for</strong> <strong>the</strong> investigation <strong>of</strong> <strong>the</strong> phenomena <strong>of</strong> near-wall turbulence. By using<br />

this technique it is possible to determine at any <strong>flow</strong> velocity all three velocity components<br />

in spatially-separated planes simultaneously or separated in time. It will be shown in <strong>the</strong> first<br />

part <strong>of</strong> this <strong>the</strong>sis that this technique is very reliable, robust and well suited <strong>for</strong> measuring with<br />

high accuracy and spatial resolution a variety <strong>of</strong> fundamentally important fluid-mechanical<br />

quantities, which are at present not available by any o<strong>the</strong>r known technique. In <strong>the</strong> second<br />

part <strong>of</strong> <strong>the</strong> <strong>the</strong>sis <strong>the</strong> experimental results obtained with this technique in a <strong>turbulent</strong> boundary<br />

layer <strong>flow</strong> will be outlined in order to answer some <strong>of</strong> <strong>the</strong> previously mentioned questions<br />

about <strong>the</strong> geometrical and kinematical properties <strong>of</strong> <strong>the</strong> <strong>coherent</strong> <strong>flow</strong> <strong>structures</strong> and <strong>the</strong>ir relation<br />

relative to <strong>the</strong> proposed vortex models.<br />

Beside <strong>the</strong> difficulties associated with <strong>the</strong> measurement techniques nearly all experimental<br />

boundary layer investigations reported in <strong>the</strong> literature are faced with <strong>the</strong> problem that <strong>the</strong><br />

generation <strong>of</strong> a fully-developed, <strong>turbulent</strong> boundary layer <strong>flow</strong> <strong>of</strong> large extent and range <strong>of</strong><br />

scales is difficult to achieve due to <strong>the</strong> limited wind-tunnel dimensions. By using tripping<br />

devices right behind <strong>the</strong> leading edge <strong>of</strong> a flat plate, such as sand paper, wires or ribbon<br />

elements <strong>for</strong> example, a well-defined transition to turbulence can be reached, accompanied by<br />

a strongly-growing thickness boundary layer and range <strong>of</strong> scales. However, <strong>the</strong>se devices<br />

introduce artificial <strong>flow</strong>-<strong>structures</strong> which alter <strong>the</strong> natural turbulence level and <strong>flow</strong> structure<br />

in <strong>the</strong> wake [21, 83, 111]. Without tripping <strong>the</strong> boundary layer, only natural <strong>flow</strong> <strong>structures</strong> are<br />

developing, but due to <strong>the</strong> gradual, non-uni<strong>for</strong>m transition process, <strong>the</strong> onset <strong>of</strong> turbulence is<br />

delayed and strongly varies in time and spatial location. As a consequence, quantities like <strong>the</strong><br />

thickness boundary layer are not well defined and <strong>the</strong> range <strong>of</strong> scales is ra<strong>the</strong>r small¥"!$#) relative<br />

to <strong>the</strong> disturbed <strong>flow</strong>. In addition, a direct interaction between <strong>the</strong> outer region <strong>of</strong> (<br />

7

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