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Science of Water : Concepts and Applications

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

Solution:<br />

Before fi eld bhp can be calculated, the shaft loss must be factored in:<br />

Now the fi eld bhp can be determined:<br />

⎛ 029 . hp loss⎞<br />

( 170 ft) 0.5 hp loss<br />

⎝<br />

⎜<br />

100 ⎠<br />

⎟ <br />

Field bhp bowl bhpshaft loss, hp<br />

51.8 bhp0.5 hp<br />

52.3 bhp<br />

Example 10.14<br />

Problem:<br />

The fi eld horsepower for a deep-well turbine pump is 62 bhp. If the thrust-bearing loss is 0.5 hp <strong>and</strong> the<br />

motor effi ciency is 88%, what is the motor input horsepower? (Use Equation 10.8.)<br />

Solution:<br />

field (total) bhp<br />

mhp <br />

motor efficiency100 62 bhp 0.5 hp<br />

<br />

0.88<br />

71 mhp<br />

When speaking <strong>of</strong> the effi ciency <strong>of</strong> any machine, we are speaking primarily <strong>of</strong> a comparison<br />

<strong>of</strong> what is put out by the machine (e.g., energy output) compared to its input (e.g., energy input).<br />

Horsepower effi ciency, for example, is a comparison <strong>of</strong> horsepower output <strong>of</strong> the unit or system with<br />

horsepower input to that unit or system—the unit’s effi ciency. In regard to vertical turbine pumps,<br />

there are four types <strong>of</strong> effi ciencies to be considered:<br />

•<br />

•<br />

•<br />

•<br />

Bowl effi ciency<br />

Field effi ciency<br />

Motor effi ciency<br />

Overall effi ciency<br />

The general equation used in calculating percent effi ciency is:<br />

part<br />

% 100<br />

whole<br />

(10.13)<br />

Vertical turbine pump bowl effi ciency is easily determined using a pump performance curve<br />

chart—provided by the pump manufacturer.<br />

Field effi ciency is determined using Equation 10.14:<br />

(field head, ft)(capacity, gpm) 3960<br />

Field efficiency, % <br />

100<br />

total<br />

bhp<br />

(10.14)

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