Environmental Engineering Reference
In-Depth Information
0.6
0.4
0.2
y
0
-0.2
-0.4
-0.6
-1
-0.8 -0.6 -0.4
-0.2
0
0.2
0.4
0.6
0.8
1
x
FIGURE 17.4
Streamlines in the vicinity of a dumbbell cross-sectional iber. Radii of ibers joined with a
jumper
b
= 0.1, φ = 90°, jumper length on the symmetry axis (gap)
d
= 0.1, jumper thickness δ = 0.08; stream-
lines in the vicinity of an elliptic iber/streamlines correspond to the values of the low function Ψ = ± [5 × 10
−5
,
5 × 10
−4
, 5 × 10
−3
, 2.5 × 10
−2
, 0.05, 0.1:0.1:0.5]. (From Kirsh, V.A. et al.,
Colloid J
., 70(5), 547, 2008.)
25
3
1
2
20
15
F
10
5
0
4
5
6
7
8
l
m
FIGURE 17.5
Drag force of ibers with different cross-sectional versus the midsection width: 1, dumbbell
iber; 2, a couple of parallel ibers (radius
b
is ixed, the gap varies); 3, elliptical iber (semi minor axis equals
b
);
φ = 90°,
b
= 0.1, dumbbell jumper thickness δ = 0.04. (From Kirsh, V.A. et al.,
Colloid J
., 70(5), 547, 2008.)
In particular, it was shown both theoretically and experimentally that if ibers are coupled in a
row the couple drag force equals the drag force of separate ibers. Model of a separate row was
used to study conined low in the vicinity of porous ibers [39] and ibers covered with permeable
membranes [40], and while modeling low in porous sphere particle sediments [41]. It was only the
idea of separate rows that appeared to be effective in the experimental study of preliminary air
purifying of large particles. A model ilter made of rows of parallel equidistant wires with 2
a
= 8.9
and 2
h
= 62 μm was used to study (1) inertia deposition of micron and submicron drops at
St
< 10 and
Re
< 1 [42] and (2) pressure drop variation while solid [43] and liquid [44] particles accumulating.
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