11.3 VISCOUS FLOW AND MACROSCOPIC DIFFUSIONAL TRANSPORT
445
Fig 11.19 (a) Grids with initially square elements
deformed using only the perturbing velocity without diffusion
(L
*
/H ϭ 0) and with vigorous diffusion (L
*
/Hϭ3.2).
(b) Velocity fields for the perturbing flow for the same cases
as in (a). (c) Ratio of the net diffusional volume flux per unit
depth across the vertical surface at xϭL/4 to the volume flux
per unit depth across this surface within the layer from the
perturbing flow only, contoured in (n, L
*
/H)-space.
D=0
D=10
(b)
(a)
0
1
2
3
4
–1
0
1
0.01
0.05
0.1
0.2
0.5
1
1.5
2
2.5
3
4
5
log 10 (n)
log
10 (L*/H)
(c)
445
Fig 11.19 (a) Grids with initially square elements
deformed using only the perturbing velocity without diffusion
(L
*
/H ϭ 0) and with vigorous diffusion (L
*
/Hϭ3.2).
(b) Velocity fields for the perturbing flow for the same cases
as in (a). (c) Ratio of the net diffusional volume flux per unit
depth across the vertical surface at xϭL/4 to the volume flux
per unit depth across this surface within the layer from the
perturbing flow only, contoured in (n, L
*
/H)-space.
D=0
D=10
(b)
(a)
0
1
2
3
4
–1
0
1
0.01
0.05
0.1
0.2
0.5
1
1.5
2
2.5
3
4
5
log 10 (n)
log
10 (L*/H)
(c)
