Biomedical Engineering Reference
In-Depth Information
Figure 6.29
Contour plot of concentration
c
/
c
0
from relation (6.80) for
R
= 100 mm,
L
= 1 cm,
D
= 10
-
10
m
2
/s, and
U
= 1 mm/s. The four plots correspond to
c
/
c
0
=0.1, 0.2, 0.3, and 0.4.
where the function
erinv
is the inverse of the
erf
function. Thus, the length
L
is
L
1
RU
UR
=
»
32
(6.81)
2
R
D
D
4 (
erfinv
(0.1))
and we see that the mixing length is a function of the Péclet number
Figure 6.30
Perspective view of the relation (6.80) showing the concentration profiles in the
channel for
R
= 100 mm,
L
= 1 cm,
D
= 10
-
10
m
2
/s, and
U
= 1 mm/s. The four plots correspond to
c
/
c
0
= 0.1, 0.2, 0.3, and 0.4.
