Pump efficiency curve - 8th October 2009
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Transcript of Pump efficiency curve - 8th October 2009
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Pump Hydraulic Efficiency
Prediction of efficiency curves30th September 2009Prepared by: Cheah CangTo
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2Pump hydraulic efficiency
Calculated Curves
0.0
10.0
20.0
30.0
40.0
50.0
60.0
70.0
80.0
90.0
100.0
0.0 1000.0 2000.0 3000.0 4000.0 5000.0
Flow - cu.m/hr
Hea
d-m
/Eff-
%/k
W
0.0
0.5
1.0
1.5
2.0
2.5N
PSH
met
res
Head Eff kW Rated Point NPSH
Courtesy of Jim Bryan
Efficiency curve
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
Volume flow rate (m3/hr)
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3Pump hydraulic efficiency
Courtesy of Jim Bryan
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
0
20
40
60
80
100
120
0 20 40 60 80 100 120 140
(Q/Q_oo) x 100
(Effi
cien
cy/E
ffici
ency
_oo)
x 1
00
Ns20
Ns40
Ns60
Ns80
Ns100
Ns175
Ns250
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4Pump hydraulic efficiency
Courtesy of Jim Bryan
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
0.0
20.0
40.0
60.0
80.0
100.0
120.0
0 20 40 60 80 100 120 140(Q/Q_oo) x 100
(eff
/eff
_oo)
x 1
00
Ns = 21.0224 or
Nsus = 1086.0177
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5Pump hydraulic efficiency
From Karassik chapter 2
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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6Pump hydraulic efficiency
21333.0
08955.0−
⎥⎦⎤
⎢⎣⎡ ×× XNQ
2
102286log29.0 ⎥
⎦
⎤⎢⎣
⎡⎟⎟⎠
⎞⎜⎜⎝
⎛×
sN94.0(a) (b) (c)
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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7Pump hydraulic efficiency
Calculated by equation (44) where X=1
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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8Pump hydraulic efficiency
An alternative method is developed in order to link efficiency with rotating speed, volume flow rate and specific speed based on Figure 10.
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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9Pump hydraulic efficiency
Base curve
Shift factor
( )⎟⎟⎠
⎞⎜⎜⎝
⎛×−−= s
s
NN
ln0663839.053047.228016280719.0expη063716822.099995568.037174634.0 s
N Ns ××=η
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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10Pump hydraulic efficiency
For 200 < Ns < 2000
( )⎟⎟⎠
⎞⎜⎜⎝
⎛×−−= s
s
NN
ln0663839.053047.228016280719.0expη
Base curveTURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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11Pump hydraulic efficiency
For 10000 > Ns > 2000063716822.099995568.037174634.0 s
N Ns ××=η
Base curve
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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12Pump hydraulic efficiency
Base curveTURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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13Pump hydraulic efficiency
21333.0
08955.0−
⎥⎦⎤
⎢⎣⎡ ×× XNQ
Shift factor
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
Shift factor
Pump hydraulic efficiency 14
Shift factor vs Q/N
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.001 0.01 0.1 1 10 100 1000 10000 100000 1000000 10000000 1E+08 1E+09
Q/N
Shift
fact
or
The exponential of the graph is from
21333.0
08955.0−
⎥⎦⎤
⎢⎣⎡ ×× XNQ
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15Pump hydraulic efficiency
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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16Pump hydraulic efficiency
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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17Pump hydraulic efficiency
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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18Pump hydraulic efficiency
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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19Pump hydraulic efficiency
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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20Pump hydraulic efficiency
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY
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21Pump hydraulic efficiency
These efficiency curves resemble Figure 10 (Karassik, chapter 2).
TURBO GROUP – PUMP HYDRAULIC EFFICIENCY