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Fluid Flow
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CHAPTER 7
ROTATING EQUIPMENT
CHE503 FLUID FLOW
OUTLINES
Introduction
Types of Pumps
Performance of Pumps
Types of Compressor
Performance of Compressor
INTRODUCTION-PUMPING OF FLUID
Mechanical pump is usually employed to pumping of
liquids or gases from one vessel to another or through long
pipes.
Eg:
a) The pumping of liquids such as sulphuric acid or
petroleum products from bulk store to process buildings.
b) The pumping of fluids round reaction units and through
heat exchangers.
The energy required will depends on;
a) The height through which the fluid is raised
b) The pressure required at delivery point
c) The length and diameter of the pipe,
d) The rate of flow
e) The physical properties of the fluid, particularly its
viscosity and density.
PUMPING EQUIPMENT FOR LIQUIDS
The liquids used in the chemical industries differ
considerably in physical and chemical properties, and
it has been necessary to develop a wide variety of pumping
equipment.
There are two broad classification of pumps :
1) Positive displacement pump
- Reciprocating piston
- Rotary gear
2) Centrifugal Pump.
Factors that influence the choice of pump for a particular
operation:
(1) The quantity of liquid to be handled affects the size of the
pump and its desirable to use a number of pumps in parallel.
(2) The head against which the liquid is to be pumped
difference in pressure, the vertical height of the
downstream and upstream reservoirs and by the frictional
losses which occur in the delivery line. The suitability of a
centrifugal pump and the number of stages required will
largely be determined by this factor.
(3) The nature of the liquid to be pumped the viscosity largely
determines the friction losses and hence the power required. The
corrosive nature will determine the material of construction both
for the pump and the packing. With suspensions, the clearances
in the pump must be large compared with the size of the particles.
PUMPING EQUIPMENT FOR LIQUIDS
(4) The nature of the power supply. If the pump is to be driven by
an electric motor or internal combustion engine, a high-
speed centrifugal or rotary pump will be preferred as it can
be coupled directly to the motor. Simple reciprocating pumps can
be connected to steam or gas engines.
(5) If the pump is used only intermittently, corrosion problems
are more likely than with continuous working.
The cost and mechanical efficiency of the pump must always be
considered, and it maybe advantageous to select a cheap pump
and pay higher replacement or maintenance costs rather than to
install a very expensive pump of high efficiency.
PUMPING EQUIPMENT FOR LIQUIDS
TYPES OF PUMPS
A. POSITIVE DISPLACEMENT PUMPS
Reciprocating Pumps
1. PISTON PUMP Consists of a cylinder with a
reciprocating piston connected to
a rod which passes through a gland
at the end of the cylinder .
The liquid enters from the suction
line through a suction valve and is
discharged through a delivery valve.
Delivery will rise from zero as the
piston begins to move forward to a
max, and then deliver will gradually
fall off to zero.
There will be an interval during the
return stroke and deliver will
remain zero
Single Acting Piston Pump
DOUBLE ACTING PISTON PUMP
The delivery will be similar in the forward &
return strokes.
Constant delivery can be achived.
2. THE PLUNGER OR RAM PUMP
Same principle as the piston type but differs in that the
gland is at one end of the cylinder making its
replacement easier than with the standard piston type.
The sealing of piston and ram pumps has been much
improved but, because of the nature of the fluids frequently
used, care in selecting and maintaining the seal is very
important.
The piston or ram pump may be used for injections of
small quantities of inhibitors to polymerisation units
or of corrosion inhibitors to high pressure systems, and also
for boiler feed water applications.
3. THE DIAPHRAGM PUMP
The diaphragm pump has beendeveloped for handling corrosiveliquids and those containingsuspensions of abrasive solids.
It is in two sections separated by adiaphragm of rubber, leather, or plasticsmaterial. In one section a plunger orpiston operates in a cylinder in which acorrosive fluid is displaced.
The movement of the fluid is transmittedby means of the flexible diaphragm to theliquid to be pumped. The only movingparts of the pump that are in contactwith the liquid are the valves, and thesecan be specially designed to handle thematerial.
4. THE METERING PUMP
Driven by constant speed electric motors used when a constant
and controlled rate of delivery of a liquid is required, and they will
maintain this constant rate irrespective of changes in the pressure
against which they operate.
The pumps are ;
-For low throughput and high-pressure applications, usually the
plunger (piston) is used
-for large volumes and lower pressures a diaphragm is used.
The rate of delivery is controlled by adjusting the stroke of the
piston element, and this can be done whilst the pump is in operation.
These pumps may be used for;
- the dosing of works effluents and water supplies
- the feeding of reactants, catalysts, or inhibitors to reactors at
controlled rates
- and although a simple method for controlling flowrate is provided, high
precision standards of construction are required.
B. ROTARY PUMP
1. GEAR PUMP AND LOBE PUMP
Gear and lobe pumps operate on the principle of using mechanical
means to transfer small elements or "packages" of fluid from the low
pressure (inlet) side to the high pressure (delivery) side.
General characteristics are similar with reciprocating piston
pumps, but the delivery is more even because the fluid stream is
broken down into so much smaller elements.
Capable of delivering to a high pressure, and the pumping rate is
approximately proportional to the speed of thSe pump and is not
greatly influenced by the pressure against which it is delivering.
The liquid is carried round in the spaces between consecutive gear teeth
and the outer casing of the pump, and the seal between the high and
low pressure sides of the pump is formed as the gears come into mesh
and the elements of fluid are squeezed out.
Gear pumps are extensively used for both high-viscosity
Newtonian liquids and non-Newtonian fluids.
GEAR PUMP LOBE PUMP
The lobe-pump is similar as gear pump, but the gear teeth are replaced by
two or three lobes and both axles are driven; it is therefore possible to
maintain a small clearance between the lobes, and wear is reduced.
GEAR PUMP AND LOBE PUMP
2. CAM PUMP
A rotating cam is mounted eccentrically in a cylindrical
casing and a very small clearance is maintained between
the outer edge of the cam and the casing. As the cam
rotates it expels liquid from the space ahead of it and
sucks in liquid behind it.
The characteristics again are similar to those of the gear
pump.
3. THE VANE PUMP
The rotor of the vane pump is mounted off centre in a
cylindrical casing (Figure 8.9). It carries rectangular vanes
in a series of slots arranged at intervals round the curved
surface of the rotor.
The vanes are thrown outwards by centrifugal action and
the fluid is carried in the spaces bounded by
adjacent vanes, the rotor, and the casing. Most of the
wear is on the vanes and these can readily be replaced.
3. THE VANE PUMP
The flexible vane pump
The pumps described above will not handle liquids
containing solid particles in suspension, and the
flexible vane pumps has been developed to overcome this
disadvantage.
In this case, the rotor (Figure 8.10) is an integral
elastomer moulding of a hub with flexible vanes
which rotates in a cylindrical casing containing a
crescent-shaped block, as in the case of the internal gear
pump.
4. The flow inducer or peristaltic pump
Consist of silicone rubber or other elastic tubing, typically
of 3 to 25 mm diameter, is compressed in stages by means of a
rotor.
The tubing is fitted to a curved track mounted concentrically
with a rotor carrying three rollers. As the rollers rotate, they
flatten the tube against the track at the points of contact.
These "flats" move the fluid by positive displacement, and the
flow can be precisely controlled by the speed of the motor.
These pumps have been
particularly useful for
biological fluids where
all forms of contact
must be avoided.
5. THE MONO PUMP
A special shaped helical metal rotor revolves eccentrically
within a double-helix, resilient rubber stator of twice the
pitch length of the metal rotor.
Gives a uniform flow and quiet in operation. It will pump
against high pressures.
The pump can handle corrosive and gritty liquids and
is extensively used for feeding slurries to filter presses. It
must never be ran dry. Its also can handle highly
viscosity liquid.
6. SCREW PUMPS
A highly viscous material is represented by the screw
extruder used in the polymer industry. Extruders in the
manufacture of simple and complex sections (rods,
tubes, headings, curtain rails, rainwater gutterings and a
multitude of other shapes).
However, the shape of section produced in a given material
is dependent only on the profile of the hole through which
the fluid is pushed just before it cools and solidifies.
SCREW PUMP
C. THE CENTRIFUGAL PUMP
The centrifugal pump is by far the most widely used type
in the chemical and petroleum industries. It will pump
liquids with very wide-ranging properties and suspensions
with a high solids content including, for example, cement
slurries, and may be constructed from a very wide range of
corrosion resistant materials.
The whole pump casing may be constructed from plastics
such as polypropylene or it may be fitted with a corrosion
resistant lining. Because it operates at high speed, it
may be directly coupled to an electric motor and it
will give a high flowrate for its size.
The centrifugal pump
In this type of pump (Figure 8.19), the fluid is fed to the
centre of a rotating impeller and is thrown outward by
centrifugal action. As a result of the high speed of
rotation the liquid acquires a high kinetic energy and the
pressure difference between the suction and delivery sides
arises from the interconversion of kinetic and pressure
energy.
The impeller (Figure 8.20) consists of a series of curved
vanes so shaped that the flow within the pump is as
smooth as possible. The greater the number of vanes on
the impeller, the greater is the control over the
direction of motion of the liquid and hence the smaller are
the losses due to turbulence and circulation between the
vanes.
Mechanisms:
1. Fluid enters the centrifugal pump
to the center of the pump impeller.
2. The impeller is continuously rotate
at high speed pushes the liquid to the
pump casing.
3. The force created from the impeller
will increase the liquid pressure
at the casing of the pump.
4. When the pressure of the fluid is
higher from the outside environment,
the fluid will flow out through outlet
pipe at the casing.
THE ADVANTAGES OF THE CENTRIFUGAL PUMP
(1) It is simple in construction and can, therefore, be made in a wide
range of materials.
(2) There is a complete absence of valves.
(3) It operates at high speed (up to 100 Hz) and, therefore, can be
coupled directly to an electric motor. In general, the higher the speed
the smaller the pump and motor for a given duty.
(4) It gives a steady delivery.
(5) Maintenance costs are lower than for any other type of pump.
(6) No damage is done to the pump if the delivery line becomes
blocked, provided it is not ran in this condition for a prolonged
period.
(7) It is much smaller than other pumps of equal capacity. It can,
therefore, be made into a sealed unit with the driving motor, and
immersed in the suction tank,
(8) Liquids containing high proportions of suspended solids are
readily handled.
THE DISADVANTAGES OF THE CENTRIFUGAL PUMP
(1) The single-stage pump will not develop a high pressure.
Multistage pumps will develop greater heads but they are very
much more expensive and cannot readily be made in corrosion-
resistant material because of their greater complexity. It is
generally better to use very high speeds in order to reduce the
number of stages required.
(2) It operates at a high efficiency over only a limited range of
conditions: this applies especially to turbine pumps.
(3) It is not usually self-priming.
(4) If a non-return valve is not incorporated in the delivery or suction
line, the liquid will run back into the suction tank as soon as
the pump stops.
(5) Very viscous liquids cannot be handled efficiently.
CENTRIFUGAL PUMP
DISCUSSION (20 MIN)
IDENTIFY THE ADVANTAGES AND
DISADVANTAGES OF RECIPROCATING PUMP
AND CENTRIFUGAL PUMP.
ADVANTAGES OF CENTRIFUGAL OVER
RECIPROCATING PUMP
Simplest centrifugal pumps are cheaper than the
simplest reciprocating pumps
Centrifugal pumps deliver fluid at uniform
pressure without shocks and pulsations (steady
delivery).
Can directly connected to motor derive without
the use of gears or belts.
They can handle wide range of fluid(eg: with
large amounts of solids in suspension or varies in
viscosities).
Simple in design and small in size but high in
capacity.
ADVANTAGES OF RECIPROCATING OVER
CENTRIFUGAL PUMP
Can be designed for higher heads than
centrifugal pumps
Are not subjected to air binding (presence of air
released from water) and the suction may be
under a pressure less than atmospheric without
necessitating special devices for priming.
They operate at nearly constant efficiency over a
wide range of flowrates.
PERFORMANCE
OF PUMPS
PERFORMANCE OF PUMP
Capacity of the pump/Volume flow rate;
Performance of the pump is characterize by net head,
H.
Water horsepower;
Brake horse power, bhp;
Efficiency
mQ
inout
zg
V
g
Pz
g
V
g
PH
22
22
shaft
horsepowerwater
shaft
horsepowerwater
pumpT
gQH
bhp
W
W
W
shaftshaft TW
gQHW horsepowerwater
PUMP PERFORMANCE CURVE
Free delivery Shut off
H=0 Q=0
Is achieve when there is no flow
restriction at the pump inlet/outlet-no
load to the pump
Is achieve when the outlet port of
pump is blocked off.
Q is very large, but H=0; the pump
efficiency is zero because the pump
did not do any useful work.
H is very large but Q =0, the pump
efficiency is zero
For given piping system, major
+minor losses, elevation changes,
etc., it caused the required net
head increase with the volume flow
rate.
Available net head of pumps
decreases with 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
Operating point of a piping system is established as the
volume flow rate where the system curve and the pump
performance curve intersect.
BEP should be close to operating point for best
efficiency.
In unfortunate situations the system curve and the pump
performance 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 flow situation
Required net head, H required
This equation is evaluated from inlet(upstream) to
outlet (downstream).
totalLturbineupumprequired hhzzg
VV
g
PPhH ,12
2
11
2
2212, )(
2
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 P2
4. It overcomes irreversible head
losses in the piping system
availablerequired HH
Static, dynamic and elevation can be ve/+ve, but head
losses always +ve.
Thus at operating point:-
PUMP CAVITATIONS
When pumping liquids, it is possible for the local
pressure inside the pump to fall below the vapor
pressure of the liquid,
When , vapor filled bubbles called
cavitations bubbles appear. In other words, the liquid
boils locally.
After cavitations of bubbles are formed they are
transported through the pump region where the
pressure is higher, causing collapse of the bubble.
vPP
vPP
Repetition of bubble collapse leads to erosion of the
blade and causing blade failure.
This will cause noise, vibration, reduce efficiency and
damage to impeller blades.
To avoid cavitations , pressure of the pump should
above vapor pressure. vPP
CAVITATION
NPSH NPSH- net positive suction head, define as the
difference between the pump inlets stagnation pressure
head and the vapor pressure head.
Minimum NPSHrequired necessary to avoid cavitations
in the pump.
NPSHrequired increases with volume flow rate.
g
P
g
V
g
PNPSH v
inletpump
2
2
At the point whereby the NPSH and NPSH required
intersect, the maximum volumetric flowrate can be
estimated
To make sure there is no cavitations , actual NPSH
should be higher then NPSHrequired.
Value of NPSH varies not only with flow rate, but also
with temperature and type of the liquid being pump.
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
minor losses (to decrease minor losses)
Shorten the length of the pipe upstream of the
pipe
Use smoother pipe (to decrease minor losses)
Use elbow with minor loss coefficient.
EXAMPLE 8.2
A centrifugal pump is required to circulate a liquid of density 800
kg/m3 and viscosity 0.5 x 10-3 Ns/m2 from the reboiler of a
distillation column through a vaporiser at the rate of 0.004 m3/s,
and to introduce the superheated vapour above the vapour space
in the reboiler which contains a 0.07 m depth of liquid. If smooth-
bore 25 mm diameter pipe is to be used, the pressure of vapour in
the reboiler is 1 kN/m2 and the Net Positive Suction Head
required by the pump is 2 m of liquid, what is the minimum
height required between the liquid level in the reboiler and the
pump?
TYPES
OF COMPRESSOR
PUMPING EQUIPMENT FOR GASES
Essentially the same types of mechanical equipmentare used for handling gases and liquids, though thedetails of the construction are different in the two cases.
Over the normal range of operating pressures, the densityof a gas is considerably less than that of a liquid withthe result that higher speeds of operation can be employedand lighter valves fitted to the delivery and suctionlines.
Because of the lower viscosity of a gas there is a greatertendency for leakage to occur, and therefore gascompressors are designed with smaller clearancesbetween the moving parts.
Fans, Blowers and compressors are used to increasepressure and to cause the flow of air and other gases inducts and piping systems.
DIFFERENCES BETWEEN FANS, BLOWERS AND
COMPRESSORS
A fan is a gas pump with relatively low pressurerise and high flow rate. Common examples of fansare window fans, ceiling fans, fans incomputers and other electronics equipment,radiator fans in cars.
A blower is a gas pump with relatively moderate tohigh pressure rise and moderate to high flowrate. Common examples of blowers are leafblowers, hair dryers, air blowers in furnacesand automobile ventilation systems.
A compressor is a gas pump designed to deliver avery high pressure rise, typically at low tomoderate flow rates. Common examples ofcompressors are tire pumps, refrigerator and airconditioner compressors.
Fans and rotary compressors
Fans are used for the supply of gases at relatively low
pressures (
CENTRIFUGAL AND TURBOCOMPRESSORS
Multistage centrifugal compressors are mainly used for the
higher pressure ratios and particularly for the
requirements of high capacity chemical plants.
THE RECIPROCATING PISTON COMPRESSOR
Capable of developing very high pressures, such as the pressure
of 35 MN/m2 required in the production of polyethylene.
Compressors may be either single-stage, or multiple-stage where
very high pressures are required.
For a single stage two-cylinder unit, the cylinders are fitted with
jackets through which cooling water is circulated, and inter stage
coolers are provided on multistage compressors which may consist
of anything from 2 to 12 stages.
Cooling is essential to avoid the effects of excessively high
temperatures on the mechanical operation of the compressor, and
in order to reduce the power requirements.
PERFORMANCE
OF COMPRESSOR
In practice, it is not possible to expel the whole of the gas from the
cylinder at the end of the compression; the volume remaining in
the cylinder after the forward stroke of the piston is termed the
clearance volume. This clearance will have a significant effect on
the work done per cycle.
The volume displaced by the piston is termed the swept
volume.
Therefore the total volume of the cylinder is made up of the
clearance volume plus the swept volume.
The clearance c is defined as the ratio of the clearance volume to
the swept volume.
POWER REQUIRED FOR COMPRESSION
COMPRESSION OF GASES.
COMPRESSION OF GASES
TOTAL VOLUME
Where,
Vs= volume swept
c= clearance percentages/ratio
= isentropic ratio
TOTAL WORK DONE ON FLUID PER CYCLE
1
1
241 1
P
PccVVV s
1
1
2
1
1
21 11
1 P
Pcc
P
PVP s
Work of compressor in a compressor (Isentropic
condition)
Work of compressor in a compressor (Isothermal
condition)
Work of compressor in a compressor in n stages
11
1
1
211
P
PVP
11
1
1
211
n
P
PVnP
1
211 ln
P
PVP
COMPRESSION OF GASES
EXAMPLE 8.3
A single-acting air compressor supplies 0.1 m3/s of air
measured at, 273 K and 101.3 kN/m2 which is compressed to
380 kN/m2 from 101.3 kN/m2. If the suction temperature is
289 K, the stroke is 0.25 m, and the speed is 4.0 Hz, what is
the cylinder diameter?
Assuming the cylinder clearance is 4 per cent and
compression and re-expansion are isentropic (y = 1.4), what
are the theoretical power requirements for the compression?