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© 2011 ANSYS, Inc. September 6, 20111
CFD Modeling of Crankcase Inertial Oil Separators
Arun P. Janakiraman Anna Balazy Saru Dawar
© 2011 ANSYS, Inc. September 6, 20112
Emission regulations are becoming stringent and will include blowby emissions. There is a need to vent gases from the crankcase and remove liquid oil and filter aerosol from the blowby gases before its either vented or send back to the turbo. Two technologies engineered at Cummins Filtration Inc. for this purpose are
Inertial Oil Separators Coalescing Oil Separators
Inertial Impactors are non serviceable parts which usually last the life of the engine.
Background
© 2011 ANSYS, Inc. September 6, 20113
Impactor Nozzles
Impactor media
Aerosol accelerated by the flow
Impactor Nozzle
Some amount of flow which enters the media and particles it carries are filtered.
Porous fiber impaction zone
Background (contd.)Inertial Impactor designed and manufactured at CF Inc. Impactors accelerate the aerosol stream and makes it turn by 90 degrees at the impaction surface. Particles with enough inertia are captured as they cannot make the turn.
3D CAD model of a typical impactor section
© 2011 ANSYS, Inc. September 6, 20114
Background (contd.) The purpose is to understand the performance of the inertial impactor using CFD. Parameters which constitute performance index are
Pressure drop across the device Particle Separation Efficiency ( Fractional and Gravimetric)
The flow field and dP can be easily predicted by CFD. Ansys Fluent used for this purpose. Complexity arises in particle separation efficiency prediction due to the media patch. Not all of the flow enters the media. Non uniform velocity distribution through the media . Aerosol transport predicted using Fluent discrete phase model. Filtration inside the media patch needs to be accounted for evaluating overall performance. Strong coupling between flow and particle trajectories.
© 2011 ANSYS, Inc. September 6, 20115
Constituent EquationsReynolds Averaged Navier Stokes solved using realizable k-ε closure
model.
Continuity:
Momentum:
Turbulence Closure Equations
k:
ε:
Media patch represented by a porous zone with momentum sink term.
Darcy’s law used for the sink term:
Equation of motion for particles/parcels:
© 2011 ANSYS, Inc. September 6, 20116
Mechanisms of single fiber theory particle capture considered are
Diffusion:Natanson (1957)
Stechkina and Fuchs (1966)
Interception:
Stenhouse A
Stenhouse B
Impaction:
3/23/1 PeKu32.2 DE
31 1
2211111ln12
Ku21
RRRRRR NNNNNE
22.0Stk77.0StkStk
23
3
IE
Constituent Equations (contd.)
13/23/1 Pe62.0PeKu9.2 DE
ln5.0Kn996.1ln5.075.02
1ln1Kn996.11211 1
F
RRFRRR
NNNNE
Overall Efficiency based on Perfectly mixed flow model taking into account fiber diameter distribution
Where m =1…3 represents various mechanisms of particle capture, NF is the number of fibers considered.
© 2011 ANSYS, Inc. September 6, 20117
Computational DetailsOnly a single nozzle was considered for the analysis
Fluent Pressure based Segregated solver used. 2D Axisymmetric assumption for nozzle geometry. Flow assumed to be steady. Pressure Staggering option and 2nd order upwind schemes used for discretization. SIMPLE algorithm used for pressure velocity coupling. Under relaxation at Fluent default values. Mesh has around 75K cells. Production of k turned off inside the porous zone. Media porosity is constant.Droplet injection done from a rake surface
Fluent UDFs incorporating all the single fiber physics inside the porous zone hooked to the simulation. UDFs generalized to run on 2D,3D geometries serial and parallel Fluent.
© 2011 ANSYS, Inc. September 6, 20118
Grid Independence and DPM parameters Study (4 Factor 2 level factorial DOE)
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Frac
tiona
l Effi
cien
cy %
√Stk#
Fine mesh 120537 cellsMedium mesh 29890 cellsCoarse mesh 8507 cells
76.6%
76.7%
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76.9%
77.0%
77.1%
77.2%
77.3%
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Gra
vim
etric
Effi
cien
cy %
No. of Rake Points
Effect of Number of Rake Injection Points
© 2011 ANSYS, Inc. September 6, 20119
Grid Independence and DPM parameters Study (4 Factor 2 level factorial DOE)-contd.
76.5%
77.0%
77.5%
78.0%
78.5%
79.0%
79.5%
1.00E-11 1.00E-10 1.00E-09 1.00E-08 1.00E-07 1.00E-06 1.00E-05
Gra
vim
etric
Effi
cien
cy %
Tolerance
Effect of Tolerance on Gravimetric Efficiency
Chosen for subsequent studies
Main DPM parameter affecting the particle capture efficiency
Fluent default - 1e-5
© 2011 ANSYS, Inc. September 6, 201110
Experimental Setup for measuring Pressure drop and Fractional efficiency
Aerosol generator
Part under test
Isokinetic Sampling
probes
Welas particle Counter
Upstream
dP
Welas particle Counter
Downstream
Absolute Filter
Flow meterPump
© 2011 ANSYS, Inc. September 6, 201111
kg
0.5 micron diesel liquid aerosol.Amount injected = 1gThe below plot shows how the particle stream losses mass as it goes through the media based on single fiber theory
Media zone in CFD
Efficiency = Mass captured/Total Mass Injected
4" Thick MediaFiber Diameter = 4e-5 mPacking Density = 0.1713
Idealized Case to understand whether CFD has captured all the single fiber equations correctly.
Results and Discussion
© 2011 ANSYS, Inc. September 6, 201112
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Effic
ienc
y
Particle Diameter (m)
Theory CFD Model
Equations have been captured correctly in the UDFs
Results and DiscussionCFD vs. Single Fiber Theory –Idealized case
Depth Filtration
© 2011 ANSYS, Inc. September 6, 201113
Results and DiscussionNon Dimensionalized Velocity magnitude contours
Flow pathlines colored by non-dim velocity magnitude
Non uniform flow distribution through the media.
Strong coupling between the flow inside and outside the media.
Not all of the flow enters the media.
Flow makes an 90 degree turn as the media acts like a pseudo wall.
© 2011 ANSYS, Inc. September 6, 201114
y = 1.1569x1.9903
R² = 0.9999
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Non
Dim
ensi
onal
ized
dP
Non Dimensionalized Flowrate
Non Dimensionalized dP versus flow.
Results and DiscussionContours of Non dimensionalized static pressure.
Typical 2nd order behavior in pressure drop of an inertial loss device captured here by CFDTypical rise in static pressure seen close to the
impaction surface
© 2011 ANSYS, Inc. September 6, 201115
Aerosol trajectories colored by parcel mass variationTotal mass injected = 1 g- 200 aerosol streams
Mass per stream = 5e-3 gSize of Aerosol Injected = 0.5 micron
Aerosol streams losses a lot more mass here due to capture than through the rest of the media. This is due to the flow distribution and various mechanisms contributing differently based on the local flow conditions. Very strong coupling evidenced between flow and aerosol trajectories
kg
Results and Discussion
Not all the aerosol streams enter the media
The CFD model captures all the interaction effects as evidenced in this slide
Due to low Stk# the aerosol follows the flow for most part.
© 2011 ANSYS, Inc. September 6, 201116
kg
Results and DiscussionAerosol trajectories colored by parcel mass variation
Total mass injected = 1 g- 200 aerosol streamsMass per stream = 5e-3 g
Size of Aerosol Injected = 0.8 micron
With increase in particle size and Stk# more particles penetrate the media and are filtered based on single fiber theory
© 2011 ANSYS, Inc. September 6, 201117
Aerosol trajectories colored by parcel mass variationTotal mass injected = 1 g- 200 aerosol streams
Mass per stream = 5e-3 gSize of Aerosol Injected = 1.0 micron
Results and Discussion
kg
Aerosol filtration inside the media visually seen with the color change
© 2011 ANSYS, Inc. September 6, 201118
Aerosol trajectories colored by parcel mass variationTotal mass injected = 1 g- 200 aerosol streams
Mass per stream = 5e-3 gSize of Aerosol Injected = 1.5 micron
Results and Discussion
kg
Particle size at a point were all the aerosol streams enter the media due to their inertia.
© 2011 ANSYS, Inc. September 6, 201119
Aerosol trajectories colored by parcel mass variationTotal mass injected = 1 g- 200 aerosol streams
Mass per stream = 5e-3 gSize of Aerosol Injected = 2.0 micron
Results and Discussion
kg
Further penetration of the aerosol streams into the media as the particle size goes up.
© 2011 ANSYS, Inc. September 6, 201120
Results and DiscussionAerosol trajectories colored by parcel mass variation
Total mass injected = 1 g- 200 aerosol streamsMass per stream = 5e-3 g
Size of Aerosol Injected = 2.5 micron
kg
Some of the particle streams are completely captured inside the media patch
© 2011 ANSYS, Inc. September 6, 201121
Results and DiscussionAerosol trajectories colored by parcel mass variation
Total mass injected = 1 g- 200 aerosol streamsMass per stream = 5e-3 g
Size of Aerosol Injected = 3.0 micron
kg
Complete capture of all aerosol streams within the media patch. Criterion for capture depends upon the parcel mass.
© 2011 ANSYS, Inc. September 6, 201122
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Sepa
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n Ef
ficie
ncy
%
√ Stk #
Q1 Q2
Fractional efficiency curve constructed based on simulation results at two different flow rates
Results and Discussion
Improvement in efficiency with increase in flowrate typical of inertial separation device captured here by the CFD model.
Q2>Q1
© 2011 ANSYS, Inc. September 6, 201123
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dP/d
P max
V/Vmax
CFD Model Test
Results and DiscussionComparison with test data
Agreement in pressure drop between CFD and test data is very good.
Pressure Drop
© 2011 ANSYS, Inc. September 6, 201124
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Test CFD Model
Results and Discussion
Very close agreement between CFD and test data for fractional efficiency at this flow rate. Quite surprising result considering the simplicity of the model.
Flow Rate = Q1Comparison with test data - Efficiency
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CFD Model Test
Results and Discussion
Higher efficiency predicted by CFD than test at this flowrate. Due to the high velocities seen through the nozzle it might be quite possible for aerosol re-entrainment into the air stream. This is not captured here by the CFD model.
Flow Rate = Q2
Comparison with test data - Efficiency
© 2011 ANSYS, Inc. September 6, 201126
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Particle Size (microns)
ISO Ultrafine Aerosol DistributionRosin Rammler Distribution
Ultra Fine Aerosol Particle Size Distribution entered in Fluent using Rosin Rammler Distribution
Results and Discussion
In order to understand gravimetric efficiency performance ultra fine aerosol distribution used in lab tests was injected in Fluent.
© 2011 ANSYS, Inc. September 6, 201127
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Flow Rate (m3/hr)
Test CFD
Results and Discussion
Overall good agreement with test data
Range of operation
© 2011 ANSYS, Inc. September 6, 201128
The single fiber theory has been successfully incorporated into CFD
through the use of Fluent UDFs.
The model was tested against the single fiber theory and was found
to be spot on indicating that all the equations have been correctly
captured in the Fluent UDF.
Reasonably good agreement between CFD and test for Fractional
Efficiency.
Gravimetric efficiency prediction by the model is found to be
reasonably close to test data for impactors.
Model can be used with enough confidence for optimization studies.
Conclusions
© 2011 ANSYS, Inc. September 6, 201129
AcknowledgementThe authors gratefully acknowledge the support of Cummins Filtration Inc. in this work. They would like to personally thank Bryan Steffen, and Shiming Feng for their assistance.
© 2011 ANSYS, Inc. September 6, 201130
Questions?