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148 CHAPTER 5. SMALL-SCALE AIR-SEA INTERACTION<br />
5.1.5 3D fluid flow measurement close to free water surfaces<br />
Markus Jehle<br />
Abstract A novel measurement technique is developed for 3D reconstruction of velocity vector fields<br />
close to free water surfaces. The new method overcomes the restriction of planar dimensionality by<br />
both a sophisticated experimental setup and data analysis based on contemporary image processing<br />
techniques.<br />
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z = 9.5mm z = 7.5mm z = 5.5mm<br />
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umean/vmean [pixel/frame] urms/vrms [pixel/frame] wmean [cm/frame] wrms [cm/frame]<br />
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Figure 5.5: Flow in a convection tank driven by buoyancy and evaporation. Top: Velocity vector<br />
fields starting from the deepest layer moving upwards (the w-component is colour-coded). Bottom:<br />
Vertical profiles of the mean and rms velocities (red: u, blue: v, black w).<br />
Background In order to examine the air-water<br />
gas exchange a detailed knowledge of the waterside<br />
flow-field is needed. Therefore important<br />
quantities such as shear stresses and velocity profiles<br />
have to be determined. Because the interesting<br />
flow is 3D, instationary and close to the wavedriven<br />
water-surface, conventional techniques like<br />
particle imaging velocimetry (PIV) using laser<br />
light sections are not applicable. A technique,<br />
that is similar to the one proposed here, is applied<br />
in the field of biofluidmechanics successfully,<br />
where it is important to get knowledge about the<br />
flow in artificial blood vessels.<br />
Methods and results A fluid volume is illuminated<br />
by LEDs. Small spherical particles are<br />
added to the fluid, functioning as a tracer. A<br />
camera pointing to the water surface from above<br />
records the image sequences. The distance of the<br />
spheres to the surface is coded by means of a<br />
supplemented dye, which absorbs the light of the<br />
LEDs according to Beer-Lambert’s law. By using<br />
LEDs flashing with two different wavelengths, it<br />
is possible to use particles variable in size. The<br />
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velocity vectors are obtained by using an extension<br />
of the method of optical flow, an established<br />
technique in computer vision. The vertical velocity<br />
component is computed from the temporal<br />
change of brightness.<br />
Hardware and algorithmics are tested in several<br />
ways: i) A laminar falling film serves as reference<br />
flow. The predicted parabolic profile of this<br />
stationary flow can be reproduced very well. ii)<br />
Convective turbulence acts as an example for an<br />
instationary inherently 3D flow (see figure 5.5).<br />
Outlook/Future work The presented technique<br />
constitutes the first part of a comprehensive<br />
research project whose ultimate goal is the<br />
spatio-temporal analysis of flows close to moving<br />
and wave-driven curved interfaces.<br />
Funding DFG priority program “Bildgebende<br />
Messverfahren <strong>für</strong> die Strömungsanalyse”.<br />
Main publications [Jehle & Jähne, 2006b;<br />
Jehle, 2006; Jehle et al. , in preparation]