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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]