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WHAT IS A FAN ?
A fan is a gas flow producing machine with two or more blades or
vanes attached to a rotating shaft.
Each of fan, including the impeller, converts rotational mechanical
energy, applied to their shafts, to total pressure increase of the moving
gas. This conversion is accomplished by changing the momentum of the fluid.
The fan definition is machines which increase the density of the gas
by no more than 7% as it travels from inlet to outlet. This is a rise of about 7620 Pa (30 inches of water pressure) based on standard air.
For pressure higher than 7620 Pa (30 in. WG), the air-moving
device is a compressor, or “pressure blower.”
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There are three main components in a fan:
the impeller (sometimes referred to wheel or rotor),
the driving
the casing.
To forecast with reasonable accuracy the installed
performance of a fan a designer must know :
How the fan was rated and tested.The effects the air distribution system will have on the
fan’s performance.
Fans of different types, or even fans of the same typesupplied by different manufacturers, will not interact with the
system in the same way.
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FAN TERMINOLOGY AND DEFINITIONS
Standard Air (SI)Dry air at 20°C and 101.325 kPa.
Under these conditions dry air has a
mass density of 1.204 kg/m3.
Water Gauge (WG)
The measure of pressure above
atmospheric expressed as the height
of a column of water in mm (inches)
(atmospheric at sea level equals10000 mm (407.1 inches) of water
(Fig. 1)
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Static Pressure
The difference between
the absolute pressure at a point
in an airstream or a plenum
chamber and the absolute
pressure of ambient atmosphere
(being positive when the pressure at the point is above the
ambient pressure and negative
when below).
It acts equally in alldirections, is independent of
velocity and is a measure of the
potential energy available in an
airstream.
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Velocity Pressure /Dynamic
Pressure
Is the pressure require toaccelerate air from zero velocity
to some velocity and is
proportional to the kinetic
energy of the air stream.The velocity pressure will
only be exerted in the direction
of air flow and is always
positive. (Fig. 2)
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Total Pressure
The algebraic sum of static and
velocity pressure. It is a measure of the total energy available in an air
stream. (Fig.3)
TP = SP + VP
Fan Total Pressure
The algebraic difference between the
mean total pressure at the fan outlet
and the mean total pressure at the faninlet. It is the measure of the total
mechanical energy added to the air or
gas by fan. How this is measured is
show in Fig.4.
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Fan Static Pressure
The fan static pressure is a defined quantity used in
rating fans and cannot be measured directly.
It is the fan total pressure minus the velocity pressurecorresponding to the mean air velocity at the fan outlet.
Note that it is not the difference between the static
pressure at the outlet and the static pressure at the inlet i.e : it
is not the external system static pressure.
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Air Flow (Q)
The cubic meter per second (CMS) of air produced by a fan in
a given system is independent of the air density.
Air Horsepower (A kW)
Assuming 100% efficiency, it is the horsepower required to
move a given volume of air against a given pressure.
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Brake Horsepower (B kW)
It is the actual horsepower a fan requires. It is greater than
air horsepower , because no fan is actually 100% efficient.
It may include power absorbed by V-belt drives,
accessories, and any other power requirements, in addition
to power input to the fan.
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Static Efficiency (S.E.)
The static air horsepower (A kW) divided by the power
input to the fan.
Mechanical Efficiency (M.E.)
Also called total efficiency (T.E). Ratio of power output
over power input.
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Blocked Tight Static Pressure (BTSP) Operating condition when the fan outlet
is completely closed, resulting in no air
flow. (Fig. 5)
Fully Open Air Flow (WOCMS)
Also called wide open CMS
(WOCMS). At this operating
condition, static pressure across the fan
is zero. (Fig. 6)
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Wide Open Brake Horsepower (WOBkW)
The horsepower (kW) consumed when the fan is
operating at fully open CMS.
Frequently, fan characteristics are referred to in terms of
the percent of wide open CMS (percent WOCMS) which
is for a given fan then fixes the corresponding percent
blocked tight static pressure (percent BTSP) and percent
wide open brake horsepower WOB kW.
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Application Range
The range of
operating volumes and
pressures, determined bythe manufacturer, at
which a fan will operate
satisfactorily. (Fig. 7)
Typical applicationrange for forward curved
centrifugal fan is from
30% to 80% WOCMS,
backward inclined fans is
from 40% to 85%
WOCMS
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Tip speed (TS)
Also called peripheral velocity,
equals the circumference of the
fan wheel time the RPM of thefan and is expressed in m/s
(ft/min). Fig. 8
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FAN LAWS
It is not practicable to test the performance of every size of fan ina manufacturer’s range at all speeds at which it may be applied.
Nor it is possible to simulate every inlet density which may be
encountered.
Fortunately, by use of the Fan Laws, it is possible to predict with
good accuracy the performance of a fan at other speeds and
densities than those of the original rating test.
It is important to note, however, that these Laws apply to a given
point of operation on the fan characteristic. They cannot be used
to predict other points on this characteristic curve.
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These Laws are most often used to calculate change in flow
rate, pressure and power of a fan when the size, speed or gas
density is changed. The fan Laws will be accurate for
geometrically proportioned fans; however, because tolerancesare usually not proportioned, slightly better performance is
generally obtained when projecting from a given fan size to a
larger one.
Fan laws equations :
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Change in Fan Speed
First considered are the fan laws
applying to a change only in speed
(constant system) with a given fan anda given system handling air at a given
density. (Fig.1)
Efficiency will not change.
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Change in Fan Size
Fan Laws 2 account for
changes in performance due to
proportioned changes in fan
size, based on constant tip
speed, with constant speed, air
density, fan proportions and
fixed operating point. (Fig. 2)
It is used mostly by fan designers and
rarely has application in the field.
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Fan Laws 3 also account for
changes in performance due to
proportioned changes in fan size but it based on constant fan speed,
with air density, fan proportions
and fixed operating point.
(Fig. 3)
It is usually used by fan manufacturers
to generate performance data for
geometrically proportioned “families”
of fans.
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Change in Air Density
Considered next is the effect of
change in air density on fan
performance, three fan laws apply in
this situation.
Fan Law 4 (Fig. 4) with
constant volume, system, fan size, and
speed. The fan volume, in Q will not
change with density. A fan is a constantvolume machine and will produce the
same Q no matter what the air density
may be.
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Fan law 5 (Fig. 5) with constant
pressure, system, and fan size.Variable speed.
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Fan law 6 (Fig. 6) with constant
mass flow rate, constant system and
fixed fan size. Variable fan speed.
Fan laws 4 and 6 are the basis for selecting fans for other than
standard air density using the
catalogue fan tables which are
based on standard air.
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Example No. 1
An air-conditioning supply fan is operating at a speed of
600 rpm against static pressure 500 Pa and requiring power
of 6.50 BkW. It is delivering 19,000 CMH at standardconditions. In order to handle an air-conditioning load
heavier than originally planned, more air is desired. In order
to increase the flow rate to 21,500 CMH, what are the new
fan speed, static pressure and power ? Using Fan Law 1(Fig. 7)
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Example No.2
A fan is operating at a speed of 2715 rpm on 20°C air
against static pressure 300Pa. It is delivering 3,560 CMH
and requires 2.84 BkW. A 5 kW motor is powering thefan. The system is short capacity but the owner doesn’t
want to spend any money to change the motor. What is the
maximum capacity from his system with the existing 5
kW motor? What is the allowable speed increase? Whatwill the flow rate and static pressure be under the new
conditions? Using Fan Law 1 (Fig. 8)
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Example No 3
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Example No.3
A fan manufacturer wishes to project data obtained for a 400 mm-dia. fan
to a 800mm-dia. fan. At one operating point the 400 mm fan delivers 7,750
CMH of 20°C air against 100 Pa static pressure. This requires 694 rpm (tip
speed = 14.53 m/s) and 1.77 BkW. What will the projected flow rate, static pressure, power and tip speed (TS) be for a 800 mm fan at the same speed.
Using Fan Law 3 (Fig. 9)
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This, plus Fan Law 1, are the fan laws used to project
catalogue data for many diameters and speeds from a test
on a single fan at one speed
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Example No.4
A fan drawing air from an oven is delivering 18,620 CMH of 116°C air
against 250 Pa static pressure. It is operating at 796 rpm and requires 9.90
BkW. Assume the oven loses its heat and the air is at 20°C. What happensto the static pressure and impeller power required ?
Using Fan Law 4 (Fig. 10)
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This example illustrates why the fan motor should always be selected
on the power at the maximum density, which would be at the lowest
air temperature expected.
Example No 5
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Example No.5
An engineer specifies that he wants 15,200 CMH at 200 Pa static pressure,
49°C and 300 m altitude. Determine the fan speed and power.
(There are two ways to solve this problem, Using Fan Law 4 or Fan Law 6).
Using Fan Law 4 (Fig. 11)
In order to enter in the manufacturer’s catalogue fan tables
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In order to enter in the manufacturer s catalogue fan tables
which are based on standard air, we must determine the static
pressure that would be required with standard air. From a chart
of air density ratios, we would find from the catalogue fan table,we find to deliver 15,200 CMH against 225 Pa will require
1120 rpm. The power required is 8.07 BkW. The speed is
correct at 1120, but since the fan is handling less dense air, then
:
Note also from this example that the static pressure resistance
of the system varies directly with air density.
Using Fan Law 6 (Fig 12)
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Using Fan Law 6 (Fig. 12)
In this case assume that operating condition is standard to
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In this case, assume that operating condition is standard to
determine the speed and power in the catalogue. Then the
catalogue power and static pressure will be corrected according
to Fan Law 6.
The fan will deliver 13 400 CMH against 175 Pa when
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The fan will deliver 13,400 CMH against 175 Pa when
operating at 988 rpm. Required power 5.55BkW. Correcting the
speed for density according to Fan Law 6, we obtain :
As would be expected, the answer comes out the
same with either solution.
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Example No.6
Assume that a fan is handling 41,280 CMH at static pressure of 300 Pa, running at 418 rpm and requiring
14.99 BkW. If the speed remains constant at 418 rpm,
but an additional resistance of 100 Pa (based on
existing velocities) is placed in the system, the static pressure would be 400 Pa if the capacity, 41,280
CMH, remains the same. From the fan manufacturer’s
rating table, it is seen that the speed would have to be
increased to 454 rpm and would require 18.7 BkW.
This new fan rating must be reduced to the
predetermined speed of 418 rpm along the new duct
resistance curve by use of Fan Law 1.
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This example, is useful in those cases where added
resistance, such as absolute filters, is inserted in the fan
system and thereby raises its static pressure beyond the
fan manufacturer’s catalogued ratings.
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FAN PERFORMANCE CURVES
Since each type and size of fan has different characteristics,
fan performance curve must be developed by the fan
manufacturers. A fan performance curve is a graphical presentation of the
performance of a fan. Usually it covers the entire range from free delivery (no
obstruction to flow) to no delivery (an air tight system with noair flowing). One, or more of the following characteristics may be plotted
against volume flow rate (Q).
Gas density (ρ) fan size and speed (N) are usually constant for
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Gas density (ρ), fan size, and speed (N) are usually constant for
the entire curve and must be stated. A typical fan performance
curve is shown in Fig. 1.
Generally these curves are determined by laboratory tests
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Generally, these curves are determined by laboratory tests,
conducted according to an appropriate industry test standard,
e.g. Air Movement and Control Association International Inc.
(AMCA).
It is important to note that the test setup required by AMCA
standards is nearly ideal. For this reason, the performance
curves for static pressure and brake horsepower versus airflow,are those obtained under ideal conditions, which rarely exist in
practice.
The “Fan Laws” are used to determine the brake horsepower and performance characteristics at other speeds and fan sizes;
normally, as mentioned before, only one fan size and speed
must be tested to determine the capacity for a given “family” of
fans.
SYSTEM RESISTANCE CURVE
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SYSTEM RESISTANCE CURVE
System resistance is the sum total of all pressure lossesthrough filters, coils, dampers, and duct work. The
system resistance curve (Fig. I) is simply a plot of the
pressure that is required to move air through the
system.
For fixed systems, that is, with no changes in damper
settings, etc., system resistance varies as the square of
the air volume (Q). The resistance curve for anysystem is represented by a single curve. For example.,
consider a system handling 1000 CMH with a total
resistance of 100 Pa SP .
If the Q is doubled the SP resistance will increase to 400 Pa as
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If the Q is doubled, the SP resistance will increase to 400 Pa, as
shown by the squared value of the ratio given in Fig.1.This
curve changes, however, as filters load with dirt, coils start
condensing moisture, or when outlet dampers are changed in position.
The operating point (Fig. 2) at which the fan and system will
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The operating point (Fig. 2) at which the fan and system will
perform is determined by the intersection of the system resistance
curve and fan performance curve. Note that every fan operates only
along its performance curve. If the system resistance designed is
not the same as the resistance in the system installed, the operating
point will change and the static pressure and volume delivers will
not be as calculated.
Note in Fig 3 that the actual system has more pressure drop than
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Note in Fig.3 that the actual system has more pressure drop than
predicted in the design. Thus, air volume is reduced and static
pressure is increased.
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The shape of the kW curve typically would result in a
reduction in BkW. Typically, the RPM would then be
increased and more BkW would be needed to achieve the
desired Q.
In many cases where there is a difference between actual and
calculated fan output, it is due to a change in system resistance
rather than any shortcomings of the fan or motor.
Frequently the mistake is made of taking the static pressure
reading across the fan and concluding that if it is at or abovedesign requirements, the Q is also at or above design
requirements. Fig. 3 shows why the assumption is completely
invalid.
SYSTEM SURGE FAN SURGE AND PARALLELING
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SYSTEM SURGE, FAN SURGE AND PARALLELING
The three main reasons for unstable airflow in a fan systemsare (1) System surge, (2) Fan Surge and (3) Paralleling.
SYSTEM SURGE FAN SURGE AND PARALLELING
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SYSTEM SURGE, FAN SURGE AND PARALLELING
System Surge
System surge occurs when the
system resistance and fan
performance curves do not
intersect at a distinct point but
rather over a range of volumes and pressures. This
situation does not occur with
backward inclined (BI),
airfoil (AF), and radial fans.However, it can occur with a
forward curve centrifugal fan
when operating, as shown in
Fig. 1.
In this situation, because the fan curve and system curve
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In this situation, because the fan curve and system curve
are almost parallel, the operating point can be over a range of
airflow and static pressures.
This will result in unstable operation known as systemsurge, pulsation, or pumping.
System surge should not be confused with “paralleling,”
which can only occur when two fans are installed in parallel.
Fan Surge
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Fan Surge
Fan surge is different from system surge, they may or may
not occur at the same time. (Fig.2)
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For any fan, the point of minimum pressure occurs at the
center of rotation of the fan wheel and the maximum
pressure occurs just at the discharge side of the wheel. If the wheel were not turning and this pressure
differential existed, flow would be from the high pressure
point to the low pressure point. This is opposite from the
direction air normally flows through the fan. The onlything that keeps the air moving in the proper direction is
the whirling of the blades.
Stall occurs unless there is sufficient air entering the fan
wheel to completely fill the space between the blades.
This shows up in Fig 3 as fluctuation in
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This shows up in Fig. 3 as fluctuation in
air volume and pressure. This surge can
both felt and heard and occurs in nearly
all fan types, to varying degrees, as
block-tight static pressure is approached.
The radial blade is a notable exception.
While the magnitude of surge varies for
different type of fans, (being greatest for
airfoil and least for forward curve), the pressure fluctuation close to block-tight
may be on the order of 10%. For
example, a fan in surge developing about
600 Pa of total static pressure might have
pressure fluctuation of 600/10 of an Pa.This explains why a large fan in surge is
in tolerable. Equipment room walls have
been cracked from the vibration of ducts
serving a fan in surge.
Selections should not be made to the left of the “surge point” on
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g p
the fan curve. This point, which defines a system curve when all
operating speeds of the fan are considered, varies for different
fan installations.For instance, stable operation can be obtained much further to
the left when the fan is installed in an ideal laboratory type
situation.
These conditions, of course are seldom encountered in fieldapplications.
Consequently, most manufacturers do not catalogue operating
ranges all the way to the surge line.
However, since the catalogue cut-off point is basically one of engineering judgment, conservative catalogue performance data
will provide operating ranges, which will allow stable operation
with any reasonable field ductwork design.
PARALLELING
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The third cause for unstable operation is paralleling, (Fig. 4),
which can occur only in a multiple fan installation
connected with either a common inlet or common discharge, or both in the same system, particularly when large volume of air
must be removed
The combined air flow-pressure curve in this case is obtained
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p
by adding the airflow capacity of each fan at the same pressure.
(Fig. 5)
The total performance of the multiple fans
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The total performance of the multiple fans
will be less than the theoretical sum it inlet
condition are restricted or the flow into the
inlets is not straight.
Some fans have a “positive” slope in the
pressure-air volume curve to the left of the peak pressure point. If fans operating in parallel are
selected in the region of this “positive” slope,
unstable operation may result.
The closed loop to the left of the peak pressure
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The closed loop to the left of the peak pressure
point is the result of plotting all the possible
combinations of air volume at each pressure.
If the system curve intersects the combined air
volume-pressure curve in the area enclosed by the
loop, more than one point of operation is possible.
This may cause one of the fans to handle more of the air and could cause a motor overload if the fans are
individually driven.
This unbalanced flow condition tends to reversereadily the result that the fans will intermittently load
and unload. This “pulsing” often generates noise and
vibration and may cause damage to the fans, ductwork
This requires the installation of scroll volume (outlet volume)
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This requires the installation of scroll volume (outlet volume)
dampers (Fig. 6). It serves to change the shape of the fan scroll
and thus, for each position of the damper, there is a
corresponding different performance curve.
The fan curve resulting from various positions of the
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The fan curve resulting from various positions of the
outlet volume dampers is shown in Fig. 7.
The purpose is to change the fan curve sufficiently suchthat the sum of the difference curve will intersect the single fan
curve at A’ and provide stable operation.
The performance may be reduced slightly and a
corresponding increase in RPM should be made to achieve the
specified conditions. However, this is rarely done since
difference is typically negligible.
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The use of axial flow fans in parallel presents very real potential
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The use of axial flow fans in parallel presents very real potential
noise problems unless special measures are taken at the design
stage; add-on noise control is not normally possible.
A noise problem often encountered with fans operating in
parallel is beating. This is caused by slight difference in speed
of rotation of the two theoretically identical fans.
The resulting low frequency beating noise can be very annoying
and difficult to eliminate.
The problem can be likened to the stroboscopic effect of a
fluorescent light illuminating a rotating wheel with a slight
difference between the frequencies of rotating of the wheel and