Geoscience Reference
In-Depth Information
d
*
- dimensionless mean particle diameter.
‖
g
‖ - magnitude of the gravitational vector.
μ
f
- fluid viscosity.
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τ
θ
=
- local Shields parameter at
(
)
i
g
d
ρρ
−
si
,
si
,
f
the bed interface (it is computed based on the
local shear stress, τ).
f
θ
θ
packed
f
=
018
.
i
−
1
- the volume fraction of
bi
,
′′
d
*
cr i
,
the bed-load layer is predicted by van Rijn (1984).
05
.
δ
θ
θ
07
.
- bed load thickness,
d
50
i
=
03
.
d
i
−
1
*
′′
d
50
cr i
,
- local mean particle size in the computational
cell.
u
u
, ,
=
- the direction of the motion
is determined from the motion of the liquid adja-
cent to the packed bed interface.
u
bedload i
u
bedload i
q
bi
,
u
=
δ
- velocity of the sediment in each
bedload i
,
f
ibi
,
computational cell.
1
2
ρρ
ρ
−
si
.
f
−
′′
15
.
3
- volumetric
q
=
βθ θ
(
)
⋅
g
d
bi
,
i
i
cr i
,
si
,
f
bed-load transport rate per unit width.
β
i
- bedload coefficient is typically equal to 8.0,
(Van Rijn, 1984).
2
2
2
2
cosin
ψβ βφ ψβ
φ
s
+
cos
tansin
+
sin
′′
=
′
i
θ
θ
cr i
,
cri
,
tan
i
- the critical Shields parameter modified for slop-
ing surfaces to include the angle of repose,
(Soulsby 1997).
1 666667
.
θ
′ =
θ
- the critical Shields
cr i
,
cri
,
2
d
d
si
,
log
19
10
50
parameter modified by the effect of armouring
(Egiazaroff, 1965).
β
- computed angle of the packed interface normal
relative to the gravitational vector
g
.
ϕ
i
,
ψ
- user-defined angle of repose for sediment
species
i
and angle between the flow and the
upslope direction, respectively.
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