fluid system 06-pump system
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8/11/2019 Fluid System 06-Pump System
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Prof. Dr. Ir. Harinaldi, M.EngMechanical Engineering Department
Faculty of Engineering University of Indonesia
Pump system
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Pump and System Matching
2 KQ H h H H sloss s
System CurveStatic Head:
12 z z H s Head loss = friction + minor losses
g kV gd flV h iiii 224 22
g kV gd flV h oooo 224 22
At inlet:
At outlet:
From pipe flow :
2
2
ResistanceSystem KQ
Qhhh oiloss
System Curve/System Equation :
parabolic
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Pump Performance CurvePump and System Matching
Pump performance curves are obtained from a pump testing by themanufacturer and provided as pump documentation
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System Matching and Pump Selection
Pump Selection:- use system and pumpperformance curves
- operating condition isthe intersection pointof the curves
- operating conditionshould be designed toreach the bestefficiency point (BEP)
Pump and System Matching
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Pump and System Matching
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Non DimensionalParameter
P gQH
Efficiency
D N P
P Coef Power ND
QCoef Flow
D N gH Coef Head
.
.
.
53
3
22
P
:Therefore
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For the Best Design Point (Maximum Efficiency)
DimensionlessSpecific Speed
Non Dimensional Parameter
22
3
D N gH NDQ
D
D
Eliminating D in two eq.
2/3
2
2/3
2/32
gH
Q N gH Q N
D
D
D D
(rad) 4/3
2/1
4/3
2/1
gH
NQ N
D
D s
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Pump Scaling LawTo predict the characteristics of operation for pumps which aregeom etr ica l ly s im i lar
2
22
1
1121
52
32
25
13
1
121
22
22
22
12
1
121
P
H gQ
P
H gQ
D N P
D N P
P P
D N gH
D N gH
For two
pumps whicharegeometricallysimilar andoperate withthe same flow
coefficient
322
2311
1
21
D N Q
D N Q
Pump Scaling Law
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Pump Affinity Law 1Effect of Speed Variation
- How pump characteristics is affected by changing operating speed N of agiven pump with the same flow coefficient
32
23
1
1
22
22
1
1
2
2
1
1
2121
;
N P
N P
N H
N H
N
Q
N
Q
N N D D
2
Q H
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Pump Affinity Law 1Effect of Speed Variation
In case of system resistance with certain static head
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Pump Affinity Law 2Effect of Pump Diameter Variation
- How pump characteristics is affected by varying pump diameter Doperating at a given constant speed with the same flow coefficient
52
25
1
1
22
22
1
1
3
2
23
1
1
2121
;
D P
D P
D H
D H
D
Q
D
Q
N N D D
3/2Q H
Note :The effects of viscosity and surfaceroughness can not be neglected if the
pump size decreases. Theseeffects more significantly influenceefficiency because of smaller clearancesand blade size.
An approximate, empirical relationship toestimate the influence of diminishing sizeon efficiency is:
1/ 5
2 1
1 2
1
1
D
D
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Pumps Arrangements
Series Parallel
Basic Arrangement
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Pumps ArrangementsTwo Similar Pumps in Series
to increase headperformance curve :adding heads at thesame flow ratefor two identicalpumps, the actualhead gained by thefluid and the flowrate are increased,but neither will bedoubled if thesystem curveremains the same.
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Pumps in Series and Parallel
to increase flowrate/capacityperformance curve:adding flow rates atthe same head
for two identicalpumps, the flowrate for the systemwill not be doubledif the same systemcurve applies.
Two Similar Pumps in Parallel
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Pumps in Series and ParallelArrangement of Non Similar Pumps
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Axial Pumps in Parallel
Single axial pump Axial pumps in parallel
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Sebuah pompa sentrifugal, mempunyai diameter sudu jalan d = 50 cm, kapasitas, Q = 3,2 m 3/s. tinggi tekan
(head),H=25m, putaran poros (n) = 1450 rpm.
• Jika efisiensi pompa 82%, berapa BHP (Brake HorsePower) nya dari poros, agar pompa dapat bekerja ?
• Jika sebuah pompa sentrifugal lain namun dalam satukeluarga (homologous) dengan efisiensi 82 %, berapakapasitas (Q), tinggi tekan (H) dan BHP-nya? d = 80cm, n = 1200 rpm
• Hitung putaran spesifiknya (n s)