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Equipment for
Fluid Mechanics
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AssignmentWith a group of three students, prepare areport on types of pump and compressor.
All references should be cited.
# of pages : more than 13 pages not including
references.Font: Arial 11, spacing 1.5
Due date: 15/10/09 (Thursday) before 5pm.
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Course learning outcome
1.Able to explain the types and selection of
pumps (Eg. NPSH, etc.)
2.Able to calculate the work done by the
pump.
3.Describe the types, selection of compressor
and design calculation.
4.Able to calculate the work done by the
compressor.
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Pump
Very important mechanical devices in industry,
agriculture and in daily live.
Pump has 2 important functions :
a) ability to supply liquid at required rate of flow.
b) impart energy to the liquid, thereby
increasing the pressure.
Types of pump?
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Pump
Capacity of the pump/Volume flow rate
Performance of the pump is characterize by nethead, H.
Efficiency
Brake horse power,bhp=
mQ
inout
z
g
V
g
Pz
g
V
g
PH
22
22
shaft
horsepowerwater
shaft
horsepowerwater
pumpT
HVg
bhp
W
W
W
(rad/s)= rotational speed of the shaft
Torque supply to the shaft
shaftshaft TW
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Pump performance curve
Free delivery Shut off
H=0 Q=0
Is achieve when there is no flowrestriction at the pump inlet/outlet-noload to the pump
Is achieve when the outlet port of pumpis blocked off.
Q is very large, but H=0; the pumpefficiency is zero because the pump didnot do any useful work.
H is very large but Q =0, the pumpefficiency is zero
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For given piping system, major +minor losses, elevation changes
caused the required net head increase with the volume flow rate.
The pump efficiency reach the maximum value between shut off
condition and the free delivery condition. (Note as H*, bhp* and
V@Q *)
For steady condition, the pump can operate only along the
performance curve
Available net head of pumps decreases with flowrate
.
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V
Operating point of a piping system is established as thevolume flow rate where the system curve and the pumpperformance curve intersect.
BEP should be close to operating point for best efficiency
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In unfortunate situations the system curve and the pumpperformance curve intersect at more than one operating
point. It can happen when the system curve is almost flat & meet a
pump that has a dip on its net head performance curve.
This situation should be avoided because the system may
hunt for an operating point, leading to unsteady flowsituation
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Required net head, H required
This equation is evaluated from
inlet(upstream) to outlet (downstream).
totalLturbineupumprequired hhzz
g
VV
g
PPhH
,12
2
11
2
2212
,)(
2
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Pump head delivered to the fluids does 4 things:-
1. It increase it static pressure of the fluid from P1
to P2
2. It increases the dynamic pressure of the fluid
from P1 to P2
3. It raises the elevation of the fluid from P1 to P24. It overcomes irreversible head losses in the
piping system
Thus at operating point:-availablerequired HH
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Ex 1:
A local ventilation system is used to remove air andcontaminated product by dry cleaning operation. Theduct is round and is constructed of galvanized steelwith longitudinal seams and with joints every 0.76m.The inner diameter (ID) of the duct is D=0.23m, and itstotal length, L =13.4m. There are 5 elbows along theduct. The equivalent roughness height of this duct is0.15mm, and each elbow has minor loss coefficient ofKL = 0.21.To ensure adequate ventilation, theminimum required volume flowrate through the duct is0.283 m3/s at 25C.From manufacturer list, hood entry
loss coefficient is 1.3 based on duct velocity. When thedamper is fully open, its lost coefficient is 1.8.
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A centrifugal fan with 0.23 inlet and outletdiameter is available. Its performance dataare shown below. Predict the operating
point of this local ventilation system anddraw a plot of required and available fanpressure rise as functions of volume flowrate. Is the chosen fan adequate.
Q cmm (P fan,mm H2O)
0 22.9
7 24.114 22.9
21 19
28 10.2
34 0
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Pump cavitation & NPSH
When pumping liquids, it is possible for thelocal pressure inside the pump to fall belowthe vapor pressure of the liq,
When , vapor filled bubbles calledcavitations bubbles appear. In other words, theliquid boils locally.
After cativation of bubbles are formed they aretransported through the pump region wherethe pressure is higher, causing collapse of thebubble.
vPP
vPP
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This will cause noise, vibration, reduce
efficiency and damage to impeller blades.
Repeat collapse leads to erosion of the bladeand causing blade failure.
To avoid cavitations, pressure of the pump
should above vapor pressure.
NPSH- net positive suction head, define as the
difference between the pump inlets stagnation
pressure head and the vapor pressure head.
g
P
g
V
g
PNPSH v
inletpump
2
2
vPP
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Pump manufacturers test their pump for
cativation in the pump test facilities by varying
the volume flow rate and inlet pressure.
They publishes performance parameter as
required net positive suction head
(NPSHrequired).(minimum NPSH necessary toavoid cativation in the pump)
NPSHrequired increases with volume flow rate.
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At the point whereby the NPSH and NPSH requiredintersect, the maximum volumetric flowrate can beestimated
To make sure there is no cativation, actual NPSH should behigher then NPSC required.
Value of NPSH varies not only with flow rate, but also withliquid temperature.
It also depend on type of the liquid being pump.
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How to increase available NPSH?
Lower the pump/ raised the inlet reservoir level.
Use larger diameter of pipe.
Reroute the piping system such that fewer minorlosses
Shorten the length of the pipe upstream of thepipe
Use smoother pipe
Use elbow with minor loss coefficient.
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Pump in series & parallel
We need to consider pump in series or using
larger pump to increase the volume flow rate /
pressure.
Arranging dissimilar pump in series/ parallel
may lead a problem esp when the other pump
is larger than another.
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In series In series-the combine net head is the sum of
the net head of each pump (at given flow rate)
n
i
icombined HH1
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In figure above pump 3 is the strongest and
pump 1 is the weakest. The shut off head of
the 3 pumps combined in series is equal to thesum of the shut off head of individual pump.
Net head of the three pumps in series =
H1+H2+H3.The individual pump should be shut off and by
passes at flow rates larger than that pump
delivery.
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ParallelCombine capacity for n pumps in parallel
n
i
combined VV1
1
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The free delivery of the three combined pumps
are equal to the sum of the free delivery ofeach individual pump.
To avoid pump damage and loss of combined
capacity, any individual pump should be shut offat net head larger than that pumps shut off
head.
That pump branch should be block with valve.
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Example
The 11.25 inch impeller option of the
centrifugal pump is used to pump water at25oC from a reservoir whose surface is 1.2 m
above the centerline of the pump inlet. The
piping system from the reservoir to the pumpconsist of 3 m cast iron pipe with an ID of 0.1m
and an average inner roughness height of
0.5mm.
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There are several minor losses: a sharp edge
inlet (KL =0.5), three flange smooth 90o
regular elbow (KL=0.3 each), and fully openflanged globe valve (KL=6) estimate the
maximum volume flow rate(in gpm) that can
be pumped without cativation. If the waterwere warmer, would this maximum flow rate
increase/ decrease?