Problem 6: Continuity Principle Key 1. Water 2. Saturated soil 3. Dam-assume impervious (i.e., no flow) 4. Bedrock-assume impervious (i.e., no flow) This section drawing shows the flow under a dam (Fitts 2013 Figure 7.30). The upstream reservoir is 4.0 m deep and has a surface elevation of z₁ = 28 m. The downstream tailwater is 1.0 m deep and has a surface elevation of z2 = 18 m. There is no flow through the dam or the underlying bedrock. Between the dam and the bedrock, the solid lines are streamlines, and the dashed lines are contours of equal total head. On flow nets, there is equal discharge Q between each pair of streamlines. Part A Choose a point on the surface of the upstream reservoir. At that point, what are the pressure head, elevation head, kinetic head, and total head? Part B Now choose a point on the bottom of the upstream reservoir. At that point, what are the pressure head, elevation head, kinetic head, and total head? Part C The figure shows four streamlines. From top to bottom, label them 1-2-3-4. Part D If the seepage velocity is v= 1.2 m/d between streamlines 1 and 2, what is the approximate seepage velocity between streamlines 3 and 4? [m/d]

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Author:Sadiku, Matthew N. O.
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Problem 6: Continuity Principle
Key
1. Water
2. Saturated soil
3. Dam-assume impervious (i.e., no flow)
4. Bedrock-assume impervious (i.e., no flow)
4
This section drawing shows the flow
under a dam (Fitts 2013 Figure 7.30).
The upstream reservoir is 4.0 m deep
and has a surface elevation of
z₁ = 28 m. The downstream tailwater
is 1.0 m deep and has a surface
elevation of z2 = 18 m. There is no
flow through the dam or the
underlying bedrock. Between the
dam and the bedrock, the solid lines
are streamlines, and the dashed lines
are contours of equal total head.
On flow nets, there is equal discharge
Q between each pair of streamlines.
Part A
Choose a point on the surface of the upstream reservoir. At that point, what are the pressure
head, elevation head, kinetic head, and total head?
Part B
Now choose a point on the bottom of the upstream reservoir. At that point, what are the pressure
head, elevation head, kinetic head, and total head?
Part C
The figure shows four streamlines. From top to bottom, label them 1-2-3-4.
Part D
If the seepage velocity is v= 1.2 m/d between streamlines 1 and 2, what is the approximate
seepage velocity between streamlines 3 and 4? [m/d]
Transcribed Image Text:Problem 6: Continuity Principle Key 1. Water 2. Saturated soil 3. Dam-assume impervious (i.e., no flow) 4. Bedrock-assume impervious (i.e., no flow) 4 This section drawing shows the flow under a dam (Fitts 2013 Figure 7.30). The upstream reservoir is 4.0 m deep and has a surface elevation of z₁ = 28 m. The downstream tailwater is 1.0 m deep and has a surface elevation of z2 = 18 m. There is no flow through the dam or the underlying bedrock. Between the dam and the bedrock, the solid lines are streamlines, and the dashed lines are contours of equal total head. On flow nets, there is equal discharge Q between each pair of streamlines. Part A Choose a point on the surface of the upstream reservoir. At that point, what are the pressure head, elevation head, kinetic head, and total head? Part B Now choose a point on the bottom of the upstream reservoir. At that point, what are the pressure head, elevation head, kinetic head, and total head? Part C The figure shows four streamlines. From top to bottom, label them 1-2-3-4. Part D If the seepage velocity is v= 1.2 m/d between streamlines 1 and 2, what is the approximate seepage velocity between streamlines 3 and 4? [m/d]
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