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Filter Performance,
Efficiency, Penetration,Differential Pressure
Product Line Industrial Filtration TechnologyStatus: March 2012
Product Training
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Agenda
Efficiency + Penetration Definition of Efficiency + Penetration
Particle Filtration Mechanisms + MPPS
Differential Pressure Influencing Values of Differential Pressure
Filter Performance
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Agenda
Efficiency + Penetration
Definition of Efficiency + Penetration
Particle Filtration Mechanisms + MPPS
Differential Pressure Influencing Values of Differential Pressure
Filter Performance
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Efficiency and Penetration
FilterConcentration or Quantity (of
particles) at filter outlet Co
Concentration or Quantity
(of particles) at filter inlet Ci
Quantity of particles upstream and downstream
a (depth) filter can be measured e.g. by particle counter
Quantity of particles on a depth filter
are difficult to measure!
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Efficiency and Penetration
FilterConcentration or Quantity
(of particles) at filter inlet Ci
Ci = 100 Particles
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Efficiency and Penetration
Filter
90 Particles retained by filter
Concentration or Quantity (of
particles) at filter outlet Co
Co = 10 Particles passed the filter
Concentration or Quantity
(of particles) at filter inlet Ci
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Efficiency and Penetration
100%
C
CCE
i
oi
%100)
C
C1(E
i
o
%100filterupstreamparticlesofQuantity
filterbyretainedparticlesofQuantity
EfficiencyE
or
%90%100)100
101(E
Example:
Ci = 100 particles; Co = 10 particles
Efficiency = 90%
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Efficiency and Penetration
100%
filterupstreamparticlesofQuantity
filterthepassedparticlesofQuantitynPenetratioP
%100C
CP
i
o
Example:
Ci = 100 particles; Co = 10 particles
%10%10010010P
Penetration = 10%
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Efficiency and Penetration
P100%E
Conclusion:
E = 100% - 10% = 90%
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Efficiency and Penetration
%100)
filterupstreammparticles/ofNumber
filterdownstreammparticles/ofNumber1(E
%100)filterupstream/mmg
filterdownstream/mmg1(E
oil
oil
Filter Efficiency and Penetration can be related to
different definitions of concentrations.Some examples
%100)filterupstreamppm
filterdownstreamppm1(E
oil
oil
ppmwt= mg/kg
ppmVol= ml/m
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Efficiency and PenetrationCalculation Example:
Oil aerosol concentration atfilter inlet Ci = 15 mg/m
Oil aerosol concentration at filteroutlet Co = 0,1 mg/m
Which filter efficiency is needed to achieve the required outlet concentration?
%3,99%100)15mg/m0,1mg/m1(%100)
CC1(E
i
o
Filter element grade M (micro filter) achieves an oil aerosol efficiency of
99,7%
???
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Efficiency and Penetration
10.000 Particles
90%Efficiency
99%Efficiency
99,9%Efficiency
99,99%Efficiency
10% Penetration
= 1.000 particles
1% Penetration
= 100 particles
0,1% Penetration
= 10 particles
0,01% Penetration
= 1 particle
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Agenda
Efficiency + Penetration
Definition of Efficiency + Penetration
Particle Filtration Mechanisms + MPPS
Differential Pressure
Influencing Values of Differential Pressure
Filter Performance
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Particle Filtration Spectrum
Aerosols and Solid Particles
0,01 0,1 10 1001 10000,001
Viruses
Particle Size [ m ]
Vapour, fumes, smoke Dust Mist Spray
10000
Droplets, Grains
Bacteria Drifting Sand
Gas Molecules Flour
Grains of Salt Pollen
Dried Milk Spores
Pigments Human Hair
Soot Cement Dust
Tobacco Smoke Coal Dust
Oil Vapor Water Clouds
Perceptible under microscope Visually PerceptibleSubmicroscopic Perceptible
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Primary Particle Filtration Mechanisms(Fibrous Media)
DiffusiveInterception
Fiber
Parameter Change Efficiency
Particle
Diameter
Fiber / Pore
diameter
Air Velocity
Temperature
Air Viscosity
Retention Mechanism Retention of smaller contaminations (< 0,1m)
Diffusive Interception
D = (1/vdf* CKT) / (3Nydp)
D = Diffusion Coefficient
V = Velocity of air
C = Cunningham correction factor
K = Boltzmann constantT = Kelvin temperature
df= Fiber Diameter
Ny = Air viscosity
dp = Particle diameter
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Primary Particle Filtration Mechanisms(Fibrous Media)
Interception
Fiber
Retention Mechanism Retention of larger contaminations (> 0,5m)
Interception
Parameter Change Efficiency
Particle
Diameter
Fiber
Diameter
R = dp / df
dp = Particle diameter
df= Fiber diameter
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Primary Particle Filtration Mechanisms(Fibrous Media)
Inertial Impaction
Fiber
Parameter Change Efficiency
Particle
Diameter
Air Velocity
Fiber / Pore
diameter
Air Viscosity
Particle
density
Temperature
Retention Mechanism Retention of larger contaminations (> 0,5m)
Inertial Impaction
M = (Cpvdp2) / (18Nydf)
M = Inertia parameter
v = Velocity of air
C = Cunningham correction factor
p = Particle densitydf= Fiber Diameter
Ny = Air viscosity
dp = Particle diameter
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Primary Particle Filtration Mechanisms(Fibrous Media)
Gravity
Fiber
Fiber
Fiber
Retention Mechanism Retention of larger contaminations (> 1m)
Gravitational Settling
Parameter Change Efficiency
Particle
Diameter
Air Velocity
Air Viscosity
Particledensity
Temperature
G = (Cpgdp2) / (18NyV)
G = Settling parameter
g = Gravitational constantC = Cunningham correction factor
p = Particle density
Ny = Air viscosity
V = Air Velocity
dp = Particle diameter
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Primary Particle Filtration Mechanisms(Fibrous Media)
Sieving
Fiber
Fiber
Fiber
Retention Mechanism Retention of larger contaminations (> 1 m)
Sieving
Parameter Change Efficiency
Particle
Diameter
Fiber
Diameter
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Primary Particle Filtration Mechanisms(Fibrous Media)
+Electrostatics
Fiber
Retention Mechanism
Retention of contaminations with different
electric charge than fiber
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Primary Particle Filtration Mechanisms(Fibrous Media)
0%
20%
40%
60%
80%
100%
0,01 0,10 1,00 10,00
Particle Diameter (m)
Efficie
ncy
Diffusion
Regime
Diffusion
and
Interception
Regime
Inertial
Impaction
and
Interception
Regime
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Primary Particle Filtration Mechanisms(Fibrous Media)
0
10
20
30
40
50
60
70
80
90
100
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Efficienc
y(%)
Particle Size (microns)
Total
Diffusion
InertialInterception
Sieving
MPPS =
Most Penetrating Particle Size [m]
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Fractional Efficiency
1 2 3 4 5 10 300,01 0,02 0,03 0,05 0,1 0,2 0,3 0,5 10050200
10
20
30
40
50
60
70
80
90
100
Mobility Diameter[m]
Fractionalefficienc
y[%]
Aerodynamic Diameter [m]
6,7% at MPPS = 0,29 m
Filter medium for retention of particles approx. > 3 m
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Fractional Efficiency
1 2 3 4 5 10 300,01 0,02 0,03 0,05 0,1 0,2 0,3 0,5 20 50 100
0
10
20
30
40
50
60
70
80
90
100
Mobility Diameter [m]
Fraktionsabscheideg
rad[%]
Aerodynamic Diameter [m]
72,2% at MPPS = 0,14 m
Filter medium for retention of particles approx. > 1 m
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Agenda
Efficiency + Penetration
Definition of Efficiency + Penetration
Particle Filtration Mechanisms + MPPS
Differential Pressure
Influencing Values of Differential Pressure
Filter Performance
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Cost of Differential Pressure
After-cooler, Separators+Filters,
Dryers, Pressure Vessels, Valves,
Pipelines, Fittings,
6 bar
7 bar = 6 bar + 1 bar
+ 1 bar + 10% energy cost
Reduced flow Extended running time
+ 8K additional compression temperature
Additional cooling energy needed
Compressor Differential Pressurep = 1 bar
7 bar
Application
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Differential Pressure of Filters
p1 p2p1 > p2
Flow through a filter always creates differential pressure!
p = p1 p2
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Differential Pressure of Filters
Totalp =
p Filter Housing p Filter Element
+
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Agenda
Efficiency + Penetration
Definition of Efficiency + Penetration
Particle Filtration Mechanisms + MPPS
Differential Pressure
Influencing Values of Differential Pressure
Filter Performance
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Influencing Values of Differential Pressure
0
20
40
60
80
100
120
140
160
180
0 0,1 0,2 0,3 0,4 0,5 0,6
Flow Velocity Filter Element [m/s]
Dp[mbar]
p Filter Medium
p Filter Housing
p Entire System
Volume Flow + Flow Velocity
+
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Influencing Values of Differential Pressure
0
20
40
60
80
100
120
140
20% 40% 60% 80% 100%
Nominal Flow
deltap[mbar]
1bar a
2bar a
3bar a
4bar a
5bar a
6bar a
7bar a
8bar a
Operating Pressure
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Influencing Values of Differential Pressure
Binder containing glass fibres
Binder-free glass fibres
Synteq XP
Filter Media
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Influencing Values of Differential Pressure
Filter Manufacturing Technology
Wrapped Filter Media
Pleated Filter Media
Binder containing glass fibres
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Influencing Values of Differential Pressure
0
20
40
60
80
100
120
140
160
180
200
20% 100%
Nominal Flow
DifferentialPressur
e[mbar] p at wet condition
(at certain oil viscosity)
p at dry condition
Wetting of Filter Media
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Influencing Values of Differential Pressure
Particle Contamination of Filter Media
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Influencing Values of Differential Pressure
Volume Flow + Flow Velocity
Operating Pressure
Filter Media
Filter Manufacturing Technology
Wetting of Filter Media
Particle Contamination
Summary
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Filter Performance
Filter Performance is defined by
Efficiency and Differential Pressure
Efficency
[%]
DifferentialPressure[m
bar]
Differential Pressure
Efficiency
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Filter Performance
Efficency
[%]
DifferentialPressure[m
bar] Required
Efficiency level
Best
efficiency
High
p
High
efficiency
Lowestp
Good
efficiency
Highest
p
Efficiency
too low!
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Filter Performance
0
25
50
75
100
125
150
175
200
225250
275
300
325
350
375
400
425450
475
500
Competitor A
(pleated)
Competitor B
(pleated)
Competitor C
p[m
bar]
98
98,1
98,2
98,3
98,4
98,5
98,6
98,7
98,8
98,999
99,1
99,2
99,3
99,4
99,5
99,6
99,799,8
99,9
100
Efficien
cy[%]
Differential pressure (p) and retention rate (efficiency) according ISO 12500-1.
Comparable coalescence filter oil wetted steady state at 8 bar.
p p p p p p p p
Required Efficiency Level Grade S (Submicrofilter)
Donaldson
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Questions ?