Biomedical Engineering Reference
In-Depth Information
Fig. 2.7 Hypothetic single stage impactor collection efficiency curve
when E is 50% (Fig. 2.7 ). At this location, defined as the cut size ( d p,50 ) or effective
cutoff diameter,
12
/
=
9
h
r
nW
U
(2.7)
Cd
St
c
,
50
p
,
50
50
0
or in terms of volumetric flow rate ( Q ),
12
/
=
3
9
pm
r
nW
Q
(2.8)
Cd
St
c
,
50
p
,
50
50
4
0
for a multiorifice stage comprising n circular nozzles. Equations (2.7) and (2.8) can
be written in terms of the more usually encountered aerodynamic diameter scale
( d ae,50 ), substituting (2.3) for d p .
The assumption is often made that the mass of particles larger than d 50 (the size
corresponding to E 50 ) that penetrate the stage is exactly compensated by the mass
associated with particles finer than this size that are collected. Thus, the cut size can
be defined as a single-valued constant for a given stage at a fixed flow rate. Particles
with d ae
d 50 are assumed to be fully collected, whereas all particles finer than d 50 are
 
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