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5.1. SMALL-SCALE AIR-SEA INTERACTION 175<br />

5.1.2 Water flow measurements in environmental and biological systems<br />

Participating scientist Christoph S. Garbe<br />

Abstract Novel measurement techniques are developed for accurately determining water flows in<br />

biological and environmental systems. These techniques are closely linked to the development of refined<br />

image processing techniques, making temporally and spatially highly resolved field measurements<br />

feasible.<br />

a) b) c)<br />

Figure 5.2: In a) a thermal image of the air-water interface is shown with the extracted motion field.<br />

In b) the motion of a microfluidic application is shown, and in c) the flow velocity of Xylem in a plant<br />

leaf can be seen.<br />

Background For a number of exchange processes<br />

both in environmental and life sciences, the<br />

transport of water plays a fundamental role. Systems<br />

of interest are turbulent transport at water<br />

surfaces for air sea heat and gas exchange, water<br />

flow in plant leaves, and microfluids. Density<br />

distributions of tracers are visualized with modern<br />

cameras and their motion as well as density<br />

changes estimated from digital image processing<br />

techniques. Examples of such tracers are heat<br />

which can be applied with lasers and visualized<br />

with highly resolved thermographic imagers or<br />

caged dyes for microfluidic applications. Results<br />

of these flow measurements can be used for modelling<br />

physical transport processes, deepening our<br />

understanding of the systems analyzed.<br />

Funding Research Centre Jülich (Forschungszentrum<br />

Jülich), Jülich<br />

DFG SPP 1147, “Bildgebende Messverfahren <strong>für</strong><br />

die Strömungsanalyse”<br />

DFG SPP 1114, “Mathematische Methoden<br />

der Zeitreihenanalyse und digitalen Bildverarbeitung”<br />

Methods and results A fluid is visualized using<br />

density distributions as tracers. These can be<br />

heat or dyes. At the air-water interface, usually<br />

a net heat flux is present which allows visualizing<br />

turbulences directly without additional tracers.<br />

The motion of density distributions is then<br />

modelled as a linear partial differential equation<br />

(PDE). These PDEs can be solved from the image<br />

sequences with techniques developed in digital<br />

image processing. This allows to estimate the<br />

motion as well as density changes in the image<br />

sequences. Through estimating motion as well as<br />

other parameters of the transport model, a deeper<br />

understanding of the transport processes involved<br />

can be reached. Through this technique, the net<br />

heat flux at the air-water interface was estimated<br />

directly for the first time, both temporally and<br />

spatially highly resolved. Furthermore, the flow<br />

of water in plant leaves was also measured in a<br />

relatively simple set-up.<br />

Outlook/Future work The developed techniques<br />

will be used for studying transport processes<br />

for shear driven as well as convective driven<br />

exchange of heat and mass at the air-water interface.<br />

Furthermore, the transport of Xylem in<br />

plant leaves will be measured under varying environmental<br />

forcings. This will make spatially resolved<br />

measurements of water flows in plant leaves<br />

possible for the first time, closing a missing link<br />

in the understanding of water relations in plants.<br />

The low Reynolds number flows in microfluidic<br />

mixing machines will also be measured, allowing<br />

to improve the design and mixing capabilities for<br />

such devices.<br />

Main publication Garbe et al. [2004a]; Zhang<br />

& Garbe [2004]; Garbe et al. [2004b]

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