Environmental Engineering Reference
In-Depth Information
z
z = z
s
w
h
u
h
0
∆
z
z = z
a
+
∆
z
z
a
Figure 5.29. Flow field
(Galappatti, 1983).
x
Z
c
x,z,t
c
x,z,t
Figure 5.30. Schematization of
the 2-D suspended sediment
transport model.
X
The definitions of the symbols used in the figure are:
h
flow depth above reference level (m)
h
0
=
=
total flow depth (m)
x
,
z
=
length coordinates (m)
u
,
w
=
velocity component in the
x
and
z
directions (m/s)
z
s
=
water surface elevation (m)
=
z
h
0
−
h
(m)
z
a
=
bed elevation (m)
ε
x
,
ε
z
=
sediment-mixing coefficient in the
x
and
z
directions (m
2
/s)
The main concepts, on which the depth-integrated model of Galappatti
is based, include:
•
the horizontal diffusive transport (
ε
x
) and the vertical component of the
velocity (
w
) are both ignored:
w
s
c
surface
=
ε
z
∂c
∂z
+
0
(5.121)
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