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Why is particle technology important? Solid particulates are ubiquitous in both nature
and industry. Natural occurrences include
sands on the beach, snow avalanches, ice floes, planetary formation, sand dune formation,
pollutants in the atmosphere, etc. Industrial
applications of particulate systems include power generation via coal combustion,
synthesis of advanced materials, handling of foodstuffs and pharmaceuticals, fluid
catalytic cracking, etc. Due to this
widespread occurrence, processes involving particulates are tightly linked to the national
economy. For example,
at least 40%, or $61 billion of the value added by the chemical
industry is linked to particle technology (Ennis et al., April 1994), and
1.3% of U. S. electrical power production is used for the grinding
of particles and ores (Ennis et al., April 1994).
Despite this prevalence of particle
processes, much room for improvement still exists. For
example,
80% of solids processing plants experience
solids handling problems such as pipe blockage and erosion, and the performance of such
operations is typically 40-50% of design (Knowlton et al., 1994), and
over 1000 silos, bins and hoppers fail in
North America each year (Knowlton et al., 1994).
Current research in particle technology covers a broad range of
topics; the specific aim of this research group is to further the understanding of the flow behavior of particulate systems.
Does particle size matter? Yes! Perhaps
the most important parameter in characterizing the behavior of a collection of particles
is particle size. (Technically
speaking, the mass or inertia of the particle relative to the surrounding
fluid is the determining parameter. For the purposes of this discussion,
though, we will assume that the particles are found in the ambient air and
that the particle's size is a good indicator of its mass.) Particle sizes span an
enormous range, from the nanoscale to grains of sand to boulders to planets. Typical sizes for familiar materials are tabulated
below, in order of increasing size.
| item |
diameter (typical units)
|
diameter (meters) |
| gas molecule |
3.7 A |
3.7x10-10 |
| combustion particles |
0.05
mm |
5 x 10-8 |
| red
blood cell |
0.07
mm |
7 x 10-8 |
| tobacco
smoke |
0.5
mm |
5 x 10-7 |
| powdered
sugar |
10
mm |
1 x 10-5 |
| human
hair |
30
mm |
3
x 10-5 |
| pollen |
50
mm |
5 x 10-5 |
| sugar
/ salt / sand |
400
mm |
4 x 10-4 |
| pharmaceutical
tablets |
0.5
cm |
5 x 10-3 |
| baseball |
6.35
cm |
6.35 x 10-2
|
| baseball
field |
110
m |
1.1 x 102 |
| Earth |
12756
km |
1.2756 x 107 |
How does particle size affect the motion of a particle? First consider a solid particle at rest
in a vacuum, with no external forces acting on it. Newtons
first law of motion indicates that the particle will remain at rest. If the particle is now surrounded by a gaseous
medium such as air, the particle may or may not be noticeably affected depending on its
size. In particular, because the air is
composed of molecules in constant motion, the solid particle surrounded by air is
constantly being bombarded by air molecules. For
example, a 0.1 mm particle suspended in air at
standard temperature and pressure experiences 1014 collisions with air
molecules in a mere second! (Note that the
ratio of particle diameter to molecular diameter is only 260.) For very small particles (e.g., tobacco smoke
particles), this constant bombardment can give rise to Brownian motion, as shown qualitatively in Figure
1. This wiggling motion is the
cumulative effect of the billions and billions of collisions. For very large particles, however, no perceptible
change will be observed. For example, a
billiard ball placed on a pool table will not be seen to move, even though it is also
undergoing a enormous number of collisions with air molecules. If set to motion by a cue, it will follow a
straight-line trajectory until collision with another ball or wall changes its direction,
as illustrated in Figure 2. Hence, as
evidenced by these figures, the nature of particle motion very much depends on the size of
the particle.
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| Figure 1: Path of particle undergoing Brownian motion |
Figure 2: Path
of particle undergoing straight-line motion |
References:
Ennis, B. J., J. Green and R. Davies,
The Legacy of Neglect in the U.S., Chem.
Eng. Prog., 32 (April 1994).
Knowlton,
T. M., J. W. Carson, G. E. Klinzing and W.-C. Yang, The Importance of
Storage, Transfer, and Collection, Chem. Eng. Prog., 90, 44 (1994).
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