Transport in Thermofluids
ME220B
Homework #7
Problem 1
Consider the flow after a sluice gate
where the length and slope of the spillway is
1
/
2.5
Ly
=
and
/
0.02
dz dx
=−
, and the depth
of the backwater is
21
/
1.25
yy
=
.
The velocity
of
flow
under
the
sluice
gate
is
1
(
0)/
1.1
x
xg
y
υ
==
.
Assume the spillway is
frictionless.
Formulate a set of analytic
equations
that describe the flow after the sluice
gate. Is the location of the hydraulic jump
unique?
Problem 2:
Consider flow under
the sluice gate shown.
The flow
leaving the gate spills down a
spillway into a backwater of height
4
y
.
The wide basin has three
sloped regions.
In the regions
between
1
x
and
2
x
, and between
3
x
and
4
x
, the basin has a shallow
slope
/
0.002
dz dx
.
In the
region between
2
x
and
3
x
, the
basin
has
a
steeper
slope
/
0.009
dz dx
. The basin has a
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 Winter '09
 Bennett
 Slope, Friction, Road, sluice gate, Floodgate

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