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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 />

1.5<br />

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z = 9.5mm z = 7.5mm z = 5.5mm<br />

z = 3.5mm z = 1.5mm z = 0.5mm<br />

umean/vmean [pixel/frame] urms/vrms [pixel/frame] wmean [cm/frame] wrms [cm/frame]<br />

0.8<br />

0.6<br />

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z[cm] 0 0.5 1 z[cm] 0 0.5 1 z[cm] 0 0.5 1 z[cm]<br />

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 />

0.025<br />

0.02<br />

0.015<br />

0.01<br />

0.005<br />

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]

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