Geoscience Reference
In-Depth Information
1.10
Ray
et al
, (1988)
Williams & Loyalka, (1991)
1.05
Lushnikov, (2012)
1.00
Fuchs&Sutugin, (1971)
Dahneke, (1983)
0.95
0.90
0.85
0.80
0.75
0.70
0.65
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
PARTICLE RADIUS (in units 2D(m/2kT)
1/2
)
Fig. 3.5
Trapping efficiency versus particle size. Shown are the experimental results of Ray et al.
(
1988
), the semi-empirical curves from Fuchs and Sutugin (
1971
) and from Dahnecke (
1983
),
and the present chapter. The
solid line
is the result of a numerical solution to the kinetic equation
(Williams and Loyalka
1991
; Loyalka et al.
1989
)
This spectrum possesses two remarkable features: it depends on (1) the radial
coordinate (the function b
C
.r/ isgivenbyEq.
3.74
)and(2)n
fm
.a/
¤
n
C
.From
Eq.
3.89
one finds
1
n
1
:
S
p
2
n
C
C
S
p
2
n
fm
.a/
D
(3.90)
If we define the concentration jump as
a
D
n.a/
n
C
then in the free molecule
regime we find
1
.n
1
n
C
/:
S
p
2
f
a
D
(3.91)
Combining Eqs.
3.76
and
3.78
yields the concentration jump in the general case:
a
D
n
a
n
C
D
.n
1
n
C
/
1
b
C
.a/
b
C
.R/
:
˛.a/
4DR
(3.92)
