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Manual for the Design of Pipe Systems and Pumps - GEA ...

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6.4.2 Calculation <strong>of</strong><br />

correction<br />

factors<br />

Pumping medium: Oil<br />

Flow rate: Q = 24 m 3/h<br />

Flow head: H = 33 m<br />

Viscosity: ν = 228 mm 2/s<br />

Density: ρ = 0.9 t/m 3<br />

Efficiency: η = 0.55 %<br />

A vertical is set up cutting K H, K Q <strong>and</strong> K η at <strong>the</strong> intersection <strong>of</strong> <strong>the</strong> horizontal viscosity line<br />

coming from <strong>the</strong> left side with <strong>the</strong> diagonal Q x √H line.<br />

From each <strong>of</strong> <strong>the</strong> newly created intersections, a horizontal leads to <strong>the</strong> right h<strong>and</strong> side,<br />

on to <strong>the</strong> correction factors. The reading is: K Q = 0.83, K H = 0.84, K η = 0.47<br />

u<br />

[mm2/s] 1000<br />

8<br />

6<br />

4<br />

3<br />

2<br />

100<br />

8<br />

6<br />

4<br />

3<br />

2<br />

10<br />

8<br />

6<br />

4<br />

3<br />

2<br />

100.000<br />

1<br />

Fig. 29 - Digram correction factors<br />

Fill into <strong>the</strong> <strong>for</strong>mula <strong>for</strong> <strong>the</strong> power consumption (Pz), <strong>the</strong> efficiency (η) from <strong>the</strong> „water flow<br />

head diagram“.<br />

Qz x Hz x ρ<br />

power consumpt. Pz =<br />

367 x Kη x η<br />

Higher accuracy is achieved by repeating <strong>the</strong> procedure with <strong>the</strong> data obtained.<br />

Result: After correction using <strong>the</strong> factors K Q, K H <strong>and</strong> K η, a pump must be selected <strong>for</strong><br />

pumping oil <strong>and</strong> a flow head <strong>of</strong> 24 m 3/h that is capapable <strong>of</strong> achieving 29 m 3/h <strong>and</strong><br />

39 m flow head. The required motor power is at least 7.5 kW.<br />

31<br />

<strong>GEA</strong> Tuchenhagen<br />

10.000<br />

Q x ÷H [m<br />

0 8 6 4 3 2 0 8 6 4 3 2 0 8 6 4 3 2 0 8 6 4 3 2<br />

3/h ÷m]<br />

The pump should be designed <strong>for</strong> <strong>the</strong> following pump data based on water:<br />

Q =<br />

Qz KQ 24<br />

0.83<br />

Hz KH =<br />

33<br />

= 39.29 m<br />

0.84 = = 28.9 m3/h; H =<br />

=<br />

24 x 33 x 0,9<br />

367 x 0.47 x 0.55<br />

1.000<br />

100<br />

= 7.52 kW<br />

10<br />

K h<br />

K Q<br />

K H<br />

1<br />

0<br />

6<br />

4<br />

Korrekturfaktor<br />

2<br />

1,0<br />

0,9<br />

0,8<br />

0,7<br />

0,6<br />

0,5<br />

0,4<br />

0,3<br />

0,2<br />

0,1<br />

0

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