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