The whey obtained from centrifugation to extract some proteinsis stored in a preliminary tank and subsequently pumped at a rateof 20 L / s to the general storage tanks, to be used in otherprocesses. The starting tank and the storage tank are kept atatmospheric pressure and the difference of 10 m in height thatexists between the whey in each tank is constant. The total lengthof pipe in the suction line is 5 m with a standard 4-inch diameterand absolute roughness equal to 0.00125 m. The discharge length is25 m with a diameter of 6 in and the same roughness. Consider thevapor pressure of the whey similar to that of water at 30 ° C (4243Pa).
The density of the whey at operating conditions is 1027 kg /m3
The viscosity of the whey can be considered 0.0012 Pa * s.
The valves and accessories that are installed in the system'spiping system are:
Accessory type
Resistances (K) for each accessory
2 Standard 90 ° elbows = 0.75
1 gate valve at the pump outlet = 0.17
1 globe valve fully open at the pump inlet = 10
Centrifugal tank inlet to pipeline = 0.5
Inlet from storage tank to pipeline = 0.6
Determine the following parameters:
a) Fluid velocity in the piping system (suction anddischarge)
b) Energy losses due to friction in pipes (suction anddischarge)
c) Reynolds number (suction and discharge).
d) Value of the friction factor (suction and discharge).
e) Friction energy losses in valves and accessories (suction anddischarge).
f) Determine the NPSH available and required for the system
g) Pressure drop in the system.
h) Dynamic load of the system that the pump must deliver to propelthe fluid from section A to section B shown in the figure.
i) The power received by the liquid, supplied by the pump.
j) The motor power, considering an efficiency of the motor-pump setof 60%.