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Science of Water : Concepts and Applications

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60 The <strong>Science</strong> <strong>of</strong> <strong>Water</strong>: <strong>Concepts</strong> <strong>and</strong> <strong>Applications</strong><br />

as the free water surface in the vessel, just as it would if a drinking straw (the piezometer) were left<br />

st<strong>and</strong>ing in a glass <strong>of</strong> water.<br />

When pressurized in a tank <strong>and</strong> pipeline system, as they <strong>of</strong>ten are, the pressure will cause the<br />

piezometric surface to rise above the level <strong>of</strong> the water in the tank. The greater the pressure, the<br />

higher the piezometric surface (see Figure 3.9). An increased pressure in a water pipeline system is<br />

usually obtained by elevating the water tank.<br />

√ Important Point: In practice, piezometers are not installed on pipelines or on water towers<br />

because water towers are hundreds <strong>of</strong> feet high. Instead, pressure gauges are used that record<br />

pressure <strong>of</strong> water in feet or in pounds per square inch.<br />

<strong>Water</strong> only rises to the level <strong>of</strong> the main body <strong>of</strong> water when it is at rest (static or st<strong>and</strong>ing water).<br />

The situation is quite different when water is fl owing. Consider, for example, an elevated storage<br />

tank feeding a distribution system pipeline. When the system is at rest, all valves closed, all the<br />

piezometric surfaces are the same height as the free water surface in storage. In contrast, when the<br />

valves are opened <strong>and</strong> the water begins to fl ow, the piezometric surface changes. This is an important<br />

point because as water continues to fl ow down a pipeline, less <strong>and</strong> less pressure is exerted. This<br />

happens because some pressure is lost (used up) keeping the water moving over the interior surface<br />

<strong>of</strong> the pipe (friction). The pressure that is lost is called head loss.<br />

HEAD LOSS<br />

Head loss is best explained by an example. Figure 3.10 shows an elevated storage tank feeding a<br />

distribution system pipeline. When the valve is closed (Figure 3.10a), all the piezometric surfaces<br />

are the same height as the free water surface in storage. When the valve opens <strong>and</strong> water begins<br />

to fl ow (Figure 3.10b), the piezometric surfaces drop. The farther along the pipeline, the lower the<br />

piezometric surface, because some <strong>of</strong> the pressure is used up keeping the water moving over the<br />

rough interior surface <strong>of</strong> the pipe. Thus, pressure is lost <strong>and</strong> is no longer available to push water up<br />

in a piezometer; this is the head loss.<br />

HYDRAULIC GRADE LINE<br />

Pressure applied<br />

Piezometric surface<br />

FIGURE 3.9 A container under pressure where the piezometric surface is above the level <strong>of</strong> the water in the<br />

tank.<br />

When the valve is opened in Figure 3.10, fl ow begins with a corresponding energy loss due to<br />

friction. The pressures along the pipeline can measure this loss. In Figure 3.10b, the difference in<br />

pressure heads between sections 1, 2, <strong>and</strong> 3 can be seen in the piezometer tubes attached to the<br />

pipe. A line connecting the water surface in the tank with the water levels at sections 1–3 shows the<br />

pattern <strong>of</strong> continuous pressure loss along the pipeline. This is called the hydraulic grade line (HGL)

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