70
5 Designing Meanders
Fig. 5.3 Overall design for realizing dedicated resistances
Therefore, a pump applied increasing pressures ranging from 0 to 1000 mbar using
a step width of 50 mbar. In order to also consider hysterical effects, the pressure
was decreased with the same step width. This procedure was repeated for all four
meander copies. By taking the quotient between the pressure and the volumetric
flow rate, the fluidic resistances of the meanders were determined. Furthermore, the
measurement setup eliminated errors in the periphery supply and the measurement
equipment. The obtained results are discussed in Sect. 5.4.1. In the following, all
details on the used design, measurement setup, the measurement procedure, and the
measurement analysis are described.
Figure 5.3 shows the overall design for one resistance value, which consists of
four (mirrored and rotated) copies of the generated meander. For the integration
and connection of the four meander copies Inkscape was used. More precisely,
in the overall design, the four inputs of the meanders are connected to a common
interconnection point. This common interconnection point is connected by an input
channel with the input In. The outputs Out1, Out2, Out3, and Out4 allow to measure
the resistances of the four meander copies, while output Out5 only serves for
measuring the fluidic resistance of the input channel and the periphery.
In order to measure the realized resistances, a fluidic pressure pump was
connected to the input In. Furthermore, the outputs Out1, Out2, Out3, and Out4
were connected by a 2-way-fluidic valve and output Out5 was closed. The respective
outputs of the four fluidic valves were merged and, eventually, connected to a
volumetric flow sensor. For the actual measurement, a pressure was applied and only
a single fluidic valve was opened, which caused the flow through a single meander
and, hence, allowed to measure the fluidic resistance of a single meander.
Using this setup yielded a measurement of the fluidic resistance M i (Eq. 5.2),
which additionally to the fluidic resistance R of the meander also contained the
input fluidic resistance R V , the fluidic resistances of the tubing R tub , the fluidic
resistance of the valve R valve , and the fluidic resistance of the flow sensor R sens , i.e.
M i = R + R V + R tub + R valve + R sens .
(5.2)
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