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1 De nitions A pump is a machine or device for raising a liquid, which is a
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relatively incompressible uid, to a higher level or to a higher pressure A compressor is a machine or device for raising a gas, which is a compressible uid, to a higher pressure Devices for exhausting air from closed vessels are called air pumps, though in reality they are air compressors working below atmospheric pressure A blower, as distinguished from a compressor, compresses a gas to a comparatively low pressure only A fan is intended primarily to move large volumes of gas; the pressure developed by the fan is quite small and is secondary in importance
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2 Measurement of Head The head which a pump has to develop or work against is the static lift plus all the friction losses in the piping This value may be computed, but in actual operation it would be determined in a test by measuring the pressure in the piping adjacent to the pump on both suction and discharge sides total head in ft (m), p pressure expressed in ft (m) of the liquid, z Let h elevation of the center of the discharge gage above the point at which the suction velocity in ft / s (m / s) at the section where the gage is pressure is measured, V acceleration of gravity in ft / s2 (m / s2), the subscript d denotes disattached, g charge, and the subscript s denotes suction values Then
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(1331)
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If the pressure on the intake side is below atmospheric, and if gage pressures are used in the above equation, then ps will be negative rate of discharge in ft3 / s (m3 / s), G gal / min (L / min), w density of the liquid in lb / ft3 (kg / m3), the horsepower (W) delivered in the liquid, called water horsepower, is: Water power wqh / 550 hp (1 hp 075 kW) In the case of water of the customary density of 624 lb / ft3 (80 kg / m3), this may be reduced to
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3 Power If q
Water power
qh 881
Gh 3960
hp (1 hp
075 kW)
(1332)
For any other liquid of speci c gravity s, the two expressions in the above equation, and in the one below, should be multiplied by s If e is the overall ef ciency of the pump, then the power input to the pump, often called brake horsepower, is Brake power e qh 881 e Gh hp (1 hp 3960 075 kW) (1333)
4 Ef ciencies De ned Ef ciency, sometimes called total or overall ef ciency, is the ratio of the power delivered in the liquid to the power input to the pump That is
water hp brake hp
water kW brake kW
(1334)
Hydraulic ef ciency, eh, is the ratio of the power actually delivered in the water to the power expended on the water or other liquid These two quantities differ by the amount of the hydraulic-friction losses Mechanical ef ciency, em, is the ratio of the power expended on the water to the power supplied to run the pump These two differ by the amount of the mechanicalfriction losses, such as friction of bearings, stuf ng boxes, etc Volumetric ef ciency, ev, is the ratio of the amount of water actually delivered to that which would be delivered if there were no leakage losses, imperfect valve action, etc Slip, in the case of a positive displacement pump, means the difference between the actual displacement and the volume of the uid actually delivered, expressed as a percentage of the displacement In certain combinations of a reciprocating pump and pipe line the inertia of the water causes ow to continue even while the pump is on dead center, and thus secures a discharge larger than the actual displacement volume The relation between slip and volumetric ef ciency is: slip 100(1 ev) The total ef ciency is the product of the hydraulic, mechanical, and volumetric ef ciencies, that is, e eh em ev (1335)
Duty is another means of expressing the ef ciency of steam-driven pumping engines It is usually expressed as the foot-pounds of work done per 1000 lb (J /
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