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initial data liquid
water temperature t =5оС;
density of water ρ=999,99 kg/m3;
kinematic viscosity of water ν=0,0152 cm2/s;
Hydraulic calculation of pipeline
Pipe diameters are determined by the recommended a calculated rate of water movement in them. The calculated velocity is adopted in accordance with the Table
| Pipe diameters, mm | Recommended the calculated velocity of water in the pipes, m/s | |
| in the suction line | in the discharge line | |
| ≤ 250 | 0,7…1,0 | 0,8…2,0 |
| 300…800 | 0,8…1,5 | 1,0…3,0 |
| > 800 | 1,2…2,0 | 1,5…4,0 |
Calculated pipe diameter suction line. The average velocity of the fluid
V=0,7…1,0 m/s,
d1=(4Q)0.5/(π∙V)0.5=(4∙0.061)0.5/(π∙0.7)0.5=0.333
md1=(4∙0.061)0.5/(π∙1)0.5=0.279 m
Estimate the diameter of the pipe, the pressure line
V=0,8…2,0
m/sd2=(4∙0.061)0.5/(π∙0.8)0.5 =0.311
md2=(4∙0.061)0.5/(π∙2)0.5 =0.197 m
where
Q =0,061m3/s – pump performance (specified flow rate);
Rated power at the pump shaft
NВ=ρ•g•Q•H•10-3/η=1000•9,81•0,061•53•10-3/0,7= 45,39 kW,
where g =9,81m/s2 — acceleration of gravity;
H = 53 m – pump design head;
η - pump efficiency.Estimated nominal motor power
Nm=NВ/(ηc•ηm)=45,39/(0,96•0,92)=51,39 kW,
where ηc - Coupling efficiency;
ηm - motor efficiency.
Rated power of the motor mounting
Nmount=β•Nm= 1,2•51,39 = 61,67 kW,
where β=1,2 - power factor of safety for the pressure line pipe diameter 0,2 m.