Fluid FlowCONTINUITY EQUATIONExample: Continuity Equation - Centrifugal PumpThe inlet diameter of the reactor coolant pump shown in Figure 3 is 28 in. while theoutlet flow through the pump is 9200 lbm/sec. The density of the water is 49 lbm/ft3.What is the velocity at the pump inlet?Solution:Ainletpr2(3.14)14 in1 ft12 in24.28 ft2minletmoutlet9200lbmsec(rAv)inlet9200lbmsecvinlet9200lbmsecAr9200lbmsec(4.28 ft2)49lbmft3vinlet43.9ftsecThe above example indicates that the flow rate into the system is the same as that out of thesystem. The same concept is true even though more than one flow path may enter or leave thesystem at the same time. The mass balance is simply adjusted to state that the sum of all flowsentering the system is equal to the sum of all the flows leaving the system if steady-stateconditions exist. An example of this physical case is included in the following example.Rev. 0 Page 13 HT-03
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