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Drop
size in an ultrasonically produced spray is governed by the frequency
at which the nozzle vibrates, and by the surface tension and
density of the liquid being atomized. However, frequency is the
predominant factor. Median drop size is inversely proportional
to frequency to the 2/3 power. Thus, the higher the frequency
the smaller the median drop size.
Typically,
the drop size distribution from ultrasonic nozzles follows a
log-normal distribution curve. In simple terms, this distribution
has the familiar bell-shape but on a logarithmic scale. The accompanying
chart shows this distribution on a cumulative basis for several
nozzle frequencies for water.

Various
parameters can be used to characterize the mean and median drop
size of a particular drop distribution. The number median diameter
defines the 50% point in drop size - that is, one-half of the
number of drops in the spray have diameters larger than this
value while the other half have diameters smaller than this value.
The number mean and weight mean diameters are average diameters.
The number mean diameter is obtained by adding together the diameter
of each drop in a spray sample and dividing that sum by the number
of drops in the sample. The weight mean diameter is obtained
by adding together the volume of each drop in a spray sample
(volume is proportional to diameter cubed), taking the cube root
of this sum, and finally dividing by the number of drops. The
Sauter mean diameter is a specialized parameter used primarily
in combustion applications. It measures the effective ratio of
drop volume to surface area.

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Atomization, Theory and Application.
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