Handbook of Civil Engineering Calculations

(singke) #1
Percent of BEP pump capacity

FIGURE 10. Performance of a pump at constant speed in pump duty and
turbine duty. (Chemical Engineering.)

48.6 gal/min (177.1 L/min). Find the contmuous-recirculation flow at shutoff head H ft
(m) of 540 ft (164.6 m) from Q 5 = QB(HsIHopf\ where Hop = operating head, ft (m). Or
Q 3 = 48.6(540/450) = 53.2 gal/min (201.4 L/min).


  1. Find the minimum safe flow for this pump
    The minimum safe flow, Ib/h, is given by wmin = 2545bhp/[CpTp + (1.285 x 10~^3 )//J,
    where Cp = specific head of the water; other symbols as before. Substituting we find
    H>min = 2545(60)/[1.0(6.1) + (1.285 x 10-^3 )(540)] = 22,476 Ib/h (2.83 kg/s). Converting to
    gal/min yields Q^n = wmin/[(ft^3 /h)(gal/min)(lb/ft^3 )] for the water flowing through the
    pump. Or, gmin = 22,476/[(8.021)(59.6)] = 47.1 gal/min (178.3 L/min).

  2. Compare the shutoff recirculation flow with the safe
    recirculation flow
    Since the shutoff recirculation flow Qs = 53.2 gal/min (201.4 L/min) is greater than
    2min = 47.1 gal/min (178.3 L/min), the 11.5-in (29.2-cm) impeller is adequate to provide
    safe continuous recirculation. An 11.25-in (28.6-cm) impeller would not be adequate be-
    cause Qmin = 45 gal/min (170.3 L/min) and Q 5 = 25.6 gal/min (96.9 L/min).


Pump BHP

Turbine E

Turbine BHP
Pump H Pump BEP

Turbine H

Pump E

Turbine BEP

Percent

of BEP

pump head,

efficiency

and BHP
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