Geoscience Reference
In-Depth Information
The total flux of A toward the particle is given by Eq.
3.31
with
S
p
a
2
v
T
q
1
C
a
v
T
1
˛.a/
D
;
(3.69)
2D
2
S
p
2
1
C
where S
p
is the sticking probability of A-molecules
The radius of the limiting sphere is
s
2D
v
T
2
R
D
a
2
C
:
(3.70)
It is independent of S
p
.
The trapping efficiency in the free molecule zone is
˛
fm
b
C
.R/
;
˛
fm
.a;R/
D
(3.71)
where
D
S
p
a
2
v
T
;
˛
fm
(3.72)
is the free molecule condensational efficiency,
v
T
D
p
8kT=m
a
(3.73)
is the thermal velocity of condensing molecules, m
a
is the molecular mass, and
1
r
1
!
S
p
2
a
2
r
2
b
.r/
D
(3.74)
1
!
(3.75)
r
1
S
p
2
a
2
r
2
b
C
.r/
D
1
b
.r/
D
1
The reactant concentration profile n.r/ is
n
R
n
C
b
C
.R/
b
C
.r/
C
n
C
n.r/
D
(3.76)
inside the limiting sphere (at r<R)and
R
r
.n
1
n
R
/
n.r/
D
n
1
(3.77)
