The particles must be sufficiently bright to provide contrasted patterns (not a milky image), but they must be small enough to minimise inertia and sedimentation effects, as well as laser beam absorbsion. To avoid sedimentation, the density matching with the fluid is critical. In practice we use two kinds of particles.
Note that in all cases, a tensio-active chemical, Ilfotol (used in
photographic film processing), is mixed with water (concentration
2 10
) to favour the wetting of particles and avoid agglomeration.
A sufficient number of particles (typically 0.05 per pixel) is essential
to achieve good CIV results. For a field 1000x1000 pixels, we need
therefore 50 000 particles. If the corresponding area is 2.5 x 2.5
m
and the laser sheet is 1 cm thick, the density of particles
is therefore about 1.25 particle/cm
. The mass of each particle,
with radius a=0.2 mm, is 3.3x 10
g, so the corresponding
total particle mass for our full 100 m
tank is 4 kg (1.25
x 10
particles). The mass concentration is 3x 10
,
which does not perturb the flow properties. Damping of laser light
by scattering is however a serious drawback of excessive particle
density. Taking a scattering cross section
=0.0012
cm
for each particle, and the 100 particles found in a
cm
beam section of length 100 cm have a total cross section
0.12 cm
. The laser beam damping is therefore 12 % per
meter, 40% reduction over the typical 4 m length of the laser sheet.
Note that the (maximum) power scattered by each particle is
, where
is the total power in the laser sheet, with width
W and thickness d=1 cm. For W=250 cm and P=5 Watts; we get 2.4 10
Watt.
At a viewing distance 4 m, a lens 20 mm in diameter captures a solid
angle 2 10
rd
, so that, assuming isotropic
scattering (which is far from reality), a power 0.4 10
Watts reaches the camera sensor. With 1/60 s exposure, this corresponds
to 0.7
J = 5 10
eV=2 10
photons.
Another factor to consider is contrast: the luminosity of the particle
must be compared to the background luminosity of the area corresponding
to one pixel.
To get higher spatial resolution, with smaller fields of view, much
higher particle density would be needed, for instance 16 times more
for a 0.6 x 0.6 m
field. Then smaller particles must be
used, 4 times smaller in diameter, to avoid laser sheet absorbsion.
The viewing distance would be also 4 times smaller, with the same
scattering power received in the camera.
Extension to larger fields of view (5x5 m
) with a higher
resolution camera (2000x2000 pixels) would also require smaller particles
(typically by a factor
, to keep the same laser absorbsion
over a twice longer length. As the viewing distance should be also
increased (say by a factor
), the captured scattered
power drops by a factor of 4.