Mattingly "AI & Prompt Design: The Basics of Prompt Design"
Cu06997 lecture 12_sediment transport and back water
1. Open channel, with bed slope >0
2211 AuAuQ
Head loss
Reference line
𝑦1 + 𝑧1 +
𝑢1
2
2𝑔
= 𝑦2 + 𝑧2 +
𝑢2
2
2𝑔
+ ∆𝐻1−2
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2. u1
Reference [m]
Surfacelevel y +z [m]
Total Head H [m]
P1
z1
y1
u1
2/2g
P2
z2
y2
u2
2/2g
u2
21
2
2
22
2
1
11
22
H
g
u
zy
g
u
zy
Head loss [m]
ΔH
Velocity Head [m]
Open channel, with bed slope <= 0
4
3. e
b
y
lS
l ezz
3
0
3
22
2
b
e
SCB
Q
y
z1= Rise water level at distance l [m]
z0= Rise water level at weir [m]
l= Distance from weir [m]
Sb= Bed slope [1]
ye=equillibrium depth [m]
Back water profile [Stuwkrommen]
ye
Estimation!!!
4
4. A critical depth B equilibrium depth
3
2
2
bg
q
y v
c
Back water profile [Stuwkrommen]
3
22
2
b
e
SCB
Q
y
4
5. CU06997 Fluid Dynamics
Sediment transport
9.1 Introduction (page 282)
9.2 The threshold of movement (page 282-287)
9.3 A general description of the mechanics of sediment transport (p
282-292)
9.4 Sediment transport equations (page 292-304)
9.5 Concluding notes on sediment transport (page 304-307)
Just read the book, in this presentation just some general principles
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6. Sediment transport
• Erosion or scour
• Deposition / Sedimentation
Sediment transport
• By rolling or sliding along the bed (bigger
particles)
• By suspension in the moving fluid (smaller
particles)
Sediment transport is very complex
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7. Sediment transport turbulent flow
Rolling [rollen]
Sliding [glijden]
Saltation [Saltatie]
Suspend [Suspensie]
Dissolved [Opgelost]
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8. A schematic diagram of where the different types of sediment load
are carried in the flow. Dissolved load is not sediment: it is
composed of disassociated ions moving along with the flow. It
may, however, constitute a significant proportion (often several
percent, but occasionally greater than half) of the total amount of
material being transported by the stream.
http://en.wikipedia.org/wiki/Sediment_transport
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9. Sediment transport 3 steps
Step 1: Particles start to move (erosion / scour)
[Deeltjes komen los van bodem]
Step 2: Particles move horizontal (transport)
[Deeltjes worden (horizontaal) verplaatst
Step 3: Deposition of particles (sedimentation)
[ Deeltjes ‘vallen’ weer op de bodem]
1 2 3
2
10. Parameters which influence erosion
Density Dichtheid
Grain size Korrel diameter
Shape Vorm
Cohesion Cohesie
Turbulence Turbulentie
Bed slope Talud helling (bodem)
Hydraulic Radius Hydraulische straal
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11. Erosion
𝜏 = 𝜌 ∙ 𝑔 ∙ 𝑅 ∙ S
τ = shear stress fluid [N/m2]
R = Hydraulic Radius [m]
S = Slope of channel bed [1]
Relation with mean boundary shear stress
Erosion, no relation with velocity???
Of course there is a relation with velocity, in
this case velocity is in the bed slope. A
steeper bed slope will give a higher velocity
Erosion will start to occur when the shear
stress caused by the flowing water is higher
than the critical shear stress of the material
2 vementMocr movementnocr
12. Hulström diagram indicating erosion, transport or deposition
of sediment according to flow velocity and grain size
Erosion, Transport, Deposotion
2
14. Waves can make particles move (a bit) (back and forth)
Waves can’t make particles transport!!!
Combination current [stroming] and waves can make
particles transport easer!!
Effect of waves on erosion
2
15. Transport capacity
• A river has a sediment transport capacity
or load. Transport capacity has a limit.
Important parameters are discharge, velocity
and turbulence.
• When the limit of transport capacity is
reached, new erosion will not occur
• When velocity decrease, transport capacity
will decrease. Sedimentation will occur
• When velocity increase, transport capacity
will increase. Erosion will occur
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