Piezometers and Pitot tubes have been installed at Points A and B in the pipe shown in Figure 7.5. The water levels under steady-state flow are as shown. Determine the following:

The elevation, pressure, velocity, and total heads at Points A and B

The head loss between Points A and B

The hydraulic gradient between Points A and B

Question

Piezometers and Pitot tubes have been installed at Points A and B in the pipe shown in Figure 7.5. The water levels under steady-state flow are as shown. Determine the following:

The elevation, pressure, velocity, and total heads at Points A and B

The head loss between Points A and B

The hydraulic gradient between Points A and B

Accepted Answer

At Point A:

[latex]h_{z}[/latex] = 3.62 m

[latex]h_{P}[/latex] = 3.01 m

[latex]h_{v}[/latex] = 0.50 m

[latex]h = h_{z} + h_{P} + h_{v} = 3.62 m + 3.01 m + 0.50 m[/latex] = 7.13 m

At Point B:

[latex]h_{z}[/latex] = 4.28 m

[latex]h_{P}[/latex] = 1.61 m

[latex]h_{v}[/latex] = 0.50 m

[latex]h = h_{z} + h_{P} + h_{v} = 4.28 m + 1.61 m + 0.50 m[/latex] = 6.39 m

For pipe segment between A and B:

[latex]Δh =h_{A} - h_{B} = 7.13 m - 6.39 m[/latex] = 0.74 m

[latex]i=\frac{\Delta h}{\Delta l} =\frac{0.74 m}{200 m} [/latex] = 0.0037

Question 7.1: Piezometers and Pitot tubes have been installed at Points A ...

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