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Open Channel Flow
Free surface and gravity driven
Unsteady
Q is not constant at cross section
Steady
Q is constant at cross section
non-uniform flow
varied cross section, can have a stead Q
uniform flow
y=yo at all cross-section position and prismatic cross section (normal)
Turbulance
flocculating rotation at many scales
surface drag
along boundaries (bed and banks)
form drag
finite body shape (bridge piers and baffle blocks)
datum
subcritical
high y, low v, v
supercritical
low y, high v, v>c
critical
Fr=1
Fr
ratio of inertial forces to gravitational forces in a flow, and is used to classify flow regimes and predict wave behavior
Choking
when channel bottom change is high enough or downstream width is small enough to start to slow down upstream flow
Weirs
measure and control flow in open channel
Hydraulic Jump
supercritical flow upstream meets subcritical flow downstream
if no head loss between two cross section
Upstream E1=E2 Downstream
Flumes for Q measurements
Used to measure an open channel
Flumes for Q measurements
use for contractions and raised channels bottom to force critical depth
y1 supercritical
y1<yc, Fr>1
y1 subcritical
y1>yc,Fr<1
Surface water for long distance (jump appearances)
2.5
well behave, stable (jump appearances)
4.5
rough down stream surface (jump appearances)
Fr1>9
how to stabilize jumps
using baffle blocks
what happens when channel roughness increases
y2 and L decreases
Stilling basin
combination of baffle blocks, chute blocks, sill with concrete channel liners and wall
Bridge piers
obstruct flow and reduces area
What contraction angle condition prevents choking?
θ
What are three examples of Surges?
Close Sluice Gate
Close a turbine
Tidal bare hurricanes
What is Surges?
Waves that move back upstream (Vs)
where, Vs = surge wave velocity
What 5 variables are typically known when working with a stilling basin?
Qdesign
b
y1
V1
# of blocks
what is the purpose of a stilling block?
Energy dissipation after a supercritical spillway
In a hydraulic jump, what happens to the Froude Number from upstream to downstream?
Fr1> 1 to Fr2< 1
How does a measuring flume work?
It constricts the channel causing the flow to accelerate and pass through critical flow at a control section
What important flow condition occurs over the crest of a broad-crested weir?
The flow reaches critical depth over the crest
y=yc
What is a sharp crested V-notch weir?
A weir with a V-shaped opening used to measure open-channel discharge
What is a suppressed rectangular weir?
A rectangular weir where the crest length equals the channel width
L=b
What causes head loss in an expansion?
flow seperates
eddies ( eats up energy)
energy dissipation
What happens during choking?
When channel bottom change is large enough or downstream width is small enough it starts to slow down the upstream flow.
y=yc @ downstream cross section
Define what Specific Energy (E) is?
Relative to horizontal datum
What is the difference between Riverbed and Riverbanks?
Riverbed - the bottom surface of the river
Riverbank- the sides of the river
What correction is made for 2D and 3D effects?
α, the kinematic energy correction factor
What is a streamtube?
Tube or conduit formed by a bundled group of neighboring streamlines.
7 Types of Open Channels
Streams
Rivers
Storm Sewers
Sanitary Sewers
Ditch
Canals
Aqueducts