Environmental Engineering Reference
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Fig. 14.18 Vertical
variation of DEP force, for
three different heights of
electrodes
Fig. 14.19 Calculated filtration rate versus number of cells for (a) particles with a ¼ 100 nm at
three different applied voltages and (b) particles with three different radii at a fixed applied voltage
of V 0 ¼18 V ( d ¼ l ¼100
ʼ
m, w ¼2
ʼ
m)
analysis allows an estimation of the necessary number of cells (or electrodes) in
order to obtain a certain desired filtration rate, when the other parameters of the
problem are fixed. The results presented in Fig. 14.19a show that in the case of
particle having size of 100 nm, a desired filtration rate of 90 % can be obtained by
using about 30 electrodes when applying a voltage of 24 V, about 60 electrodes for
18 V, and nearly 200 electrodes for an applied voltage of 12 V.
Regarding the effect of particle radii on the filtration capacity, the results presented
in Fig. 14.19b predict that, for example, when the applied voltage is 18 V, particles of
150 nm are completely captured after 10 electrodes. For particles of 100 nm we need
about 150 electrodes for the complete capture, while for the particles of 50 nm are
captured less than 60 % even if one use devices with 250 electrodes.
In conclusion, the simulations performed in the frame of the presented mathe-
matical model allow an estimation of the performances of the filtration as a function
of the geometric and physical parameters of the problem.
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