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PREDICTED AND MEASURED RING PACK<br />

PERFORMANCE OF A DIESEL ENGINE<br />

Jinglei Chen<br />

Federal-Mogul Corporation<br />

Ann Arbor, Michigan<br />

D. E. Richardson<br />

Cummins Engine Company<br />

Columbus, Indiana<br />

ABSTRACT<br />

Piston <strong>ring</strong> <strong>pack</strong> <strong>performance</strong> is very critical to<br />

<strong>diesel</strong> engine blow-by <strong>and</strong> oil consumption. As<br />

structural analysis tools such as Finite Element<br />

Analysis <strong>and</strong> Boundary Element Analysis can be<br />

used to ensure the piston structural integrity,<br />

cylinder kit dynamics models are being used to<br />

predict power cylinder system <strong>performance</strong>. In<br />

this paper, detailed comparisons <strong>of</strong> engine test<br />

measurements <strong>and</strong> model predictions under<br />

various operating conditions <strong>and</strong> with different<br />

<strong>ring</strong> <strong>pack</strong> configurations are presented. The<br />

cylinder kit model used in this project is <strong>Ricardo</strong><br />

– RINGPAK V3.1.1.<br />

INTRODUCTION<br />

Due to the complexity <strong>of</strong> the cylinder kit<br />

modeling, it is very important to validate the<br />

program against test results. Normally, one will<br />

only measure blow-by <strong>and</strong> oil consumption<br />

results du<strong>ring</strong> the engine test. The inter-<strong>ring</strong> gas<br />

pressure <strong>and</strong> <strong>ring</strong> motions are rarely <strong>measured</strong>.<br />

However, to have a thorough underst<strong>and</strong>ing <strong>of</strong><br />

the model, it is important to get into the details<br />

<strong>of</strong> <strong>ring</strong> motion <strong>and</strong> inter-<strong>ring</strong> gas pressure. These<br />

are the fundamental results <strong>of</strong> the modeling<br />

work, while blow-by is the final end result.<br />

Cummins Engine Company has conducted a<br />

series <strong>of</strong> engine tests with the purpose <strong>of</strong><br />

measu<strong>ring</strong> not only the blow-by value but also<br />

the <strong>ring</strong> motion <strong>and</strong> pressure between the <strong>ring</strong>s<br />

(Cummins Technical Report). A wide range <strong>of</strong><br />

engine speed <strong>and</strong> loading conditions are tested<br />

with different combinations <strong>of</strong> <strong>ring</strong> <strong>pack</strong><br />

configurations. Hence, a complete database<br />

1


consisting <strong>of</strong> inter-<strong>ring</strong> gas pressures, <strong>ring</strong><br />

motions, <strong>and</strong> blow-by results is available. This<br />

database is ideal for benchmarking different<br />

cylinder kit models/programs.<br />

The validation results presented in this paper are<br />

part <strong>of</strong> the joint cylinder kit modeling project<br />

carried out by the Cummins Engine Company<br />

<strong>and</strong> Federal-Mogul Corporation. Overall six<br />

different programs, commercial or universitydeveloped<br />

codes, have been evaluated. <strong>Ricardo</strong>-<br />

RINGPAK is one <strong>of</strong> these programs. Two sets <strong>of</strong><br />

results from RINGPAK are presented in this<br />

paper. The first set <strong>of</strong> results was generated<br />

without any calibration work. The second set <strong>of</strong><br />

results was obtained by changing only one<br />

parameter according to the engine running<br />

conditions. Further, the new bore distortion<br />

feature implemented in RINGPAK v 3.1.1 [1]<br />

has also been used in the second iteration.<br />

A significant amount <strong>of</strong> work has been done<br />

developing <strong>and</strong> validating cylinder kit models [2-<br />

6]. Usually the focus <strong>of</strong> validation will be on oil<br />

consumption <strong>and</strong> blow-by predictions. Very few<br />

papers deal with inter-<strong>ring</strong> gas pressure [6] <strong>and</strong><br />

<strong>ring</strong> motion validation due to the difficulty <strong>of</strong><br />

obtaining such detail measurement data. This<br />

work is quite unique in its attempt to have a<br />

complete review <strong>of</strong> the simulation program with<br />

detailed fundamental test data.<br />

Experimental Setup<br />

The experimental work was carried out by<br />

Cummins Engine Company. The tests were<br />

conducted with the intention <strong>of</strong> improving<br />

analytical tools – cylinder kit models. Overall<br />

eight <strong>ring</strong> <strong>pack</strong> configurations have been tested<br />

at different engine operating conditions.<br />

With one <strong>of</strong> the cylinders in the engine<br />

instrumented, the following measurements were<br />

taken in addition to the blow-by values.<br />

• Inter-<strong>ring</strong> Pressure – 2 nd l<strong>and</strong>, Major <strong>and</strong><br />

Minor thrust. (Faulty Transducer)<br />

• Ring motion – Top <strong>and</strong> 2 nd <strong>ring</strong>s, Major <strong>and</strong><br />

Minor thrust; Oil <strong>ring</strong>, Major thrust. (Motion<br />

Sensors mounted on the sides <strong>of</strong> grooves)<br />

• Cylinder pressure – St<strong>and</strong>ard measurement<br />

More details on the tests <strong>and</strong> instrumentation can<br />

be found in the Cummins Technical Report.<br />

RINGPAK Model<br />

To construct a RINGPAK model input set, one<br />

needs to have information on engine operating<br />

conditions, piston l<strong>and</strong> <strong>and</strong> groove dimensions,<br />

<strong>ring</strong> dimensions, cylinder gas pressure <strong>and</strong> gas<br />

temperatures, temperatures <strong>of</strong> piston <strong>and</strong> <strong>ring</strong>s,<br />

surface <strong>and</strong> material properties, lubrication oil<br />

properties, liner distortion or thermal expansion<br />

<strong>of</strong> <strong>ring</strong>s <strong>and</strong> piston, etc. These items are obtained<br />

through drawings, material specifications,<br />

measurement data, <strong>and</strong> reasonable estimations or<br />

extrapolations. Also, there are a few parameters<br />

in the RINGPAK program that are so-called<br />

calibration factors – parameters that can be<br />

changed to improve the match between model<br />

predictions <strong>and</strong> test data. Most <strong>of</strong> these variables<br />

are determined according to Federal-Mogul <strong>and</strong><br />

Cummins experience on using the RINGPAK<br />

program. RINGPAK model is based mainly on<br />

mathematical models rather than empirical<br />

relations. Most <strong>of</strong> the input parameters in the<br />

2


<strong>Ricardo</strong> model have physical significance. Hence<br />

one does not need to rely heavily on the<br />

empirical coefficients.<br />

Results from five case studies are discussed in<br />

this paper, the configurations <strong>of</strong> which are<br />

summarized in the following table.<br />

Table One: Cases Simulated with RINGPAK<br />

Case Engine<br />

speed<br />

Load Ring 1<br />

Twist<br />

Ring2<br />

Twist<br />

Gap ratio<br />

R1 : R2<br />

1 Medium Full + + 1:3<br />

2 Medium Full + - 1:1<br />

3 Low Partial + - 1:1<br />

4 Low Full N + 1:1<br />

5 High Full + - 1:3<br />

Note: + positive twist, - negative twist, N no twist.<br />

All the simulations were run on a HP C160 Unix<br />

workstation. Typical running time is between 20<br />

to 35 minutes.<br />

Results <strong>and</strong> Discussions<br />

There are two kinds <strong>of</strong> results that can be<br />

obtained from the RINGPAK program. One <strong>of</strong><br />

the two are results such as blow-by, <strong>and</strong> oil<br />

consumption, which are critical end results that<br />

people want to know. The other kind <strong>of</strong> results<br />

are more detail-oriented such as inter-<strong>ring</strong><br />

pressure traces, <strong>ring</strong> axial motions, <strong>ring</strong> twist etc.<br />

These results are more useful for people to<br />

underst<strong>and</strong> the modeling fundamentals <strong>of</strong> the<br />

program. Hence, both kinds <strong>of</strong> results are<br />

important for the model evaluation <strong>and</strong><br />

validation.<br />

Blow-by<br />

Shown in Figure One are the blow-by<br />

predictions <strong>and</strong> the corresponding measurement<br />

data. As can be seen, <strong>predicted</strong> blow-by values<br />

are fairly close to the corresponding <strong>measured</strong><br />

data except that <strong>of</strong> case 1. For case 1 the blowby<br />

prediction is significantly higher than the test<br />

measurement. More importantly, it does not<br />

follow the trend <strong>of</strong> the measurement. However,<br />

almost all programs evaluated by Federal-Mogul<br />

<strong>and</strong> Cummins tend to over predict the blow-by<br />

for case 1. Further, as shown in a later section,<br />

RINGPAK gives very good predictions <strong>of</strong> inter<strong>ring</strong><br />

pressure <strong>and</strong> <strong>ring</strong> motions for case 1. Hence,<br />

there is a possibility that the test data for case 1<br />

might not be accurate. Overall, one can conclude<br />

that blow-by predictions obtained through<br />

RINGPAK simulation are satisfactory.<br />

Inter-<strong>ring</strong> pressure <strong>and</strong> <strong>ring</strong> motion<br />

Two sets <strong>of</strong> results <strong>of</strong> inter-<strong>ring</strong> pressure <strong>and</strong> <strong>ring</strong><br />

motions are presented in this paper. The first set<br />

<strong>of</strong> results (iteration 1) was obtained without any<br />

attempt to improve the correlation. In the second<br />

iteration, the new bore distortion feature <strong>of</strong> the<br />

RINGPAK program was used. Further, the <strong>ring</strong><br />

groove surface properties were also modified to<br />

reflect the worn engine conditions. RINGPAK is<br />

a 2-D program <strong>and</strong> no piston tilt effects are<br />

considered in this project. In Figures Two to<br />

Eleven <strong>ring</strong> motion a <strong>and</strong> b <strong>of</strong> the test results<br />

refer to measurements in Major <strong>and</strong> Minor thrust<br />

sides, while <strong>ring</strong> motion a <strong>and</strong> b <strong>of</strong> the<br />

simulation results are locations <strong>of</strong> <strong>ring</strong> OD <strong>and</strong><br />

ID. In all cases the “tuning/calibration”<br />

parameters are kept the same.<br />

Inter-<strong>ring</strong> pressure<br />

Overall, for results <strong>of</strong> iteration 1, the <strong>predicted</strong><br />

peak 2 nd l<strong>and</strong> pressures are quite close to the<br />

3


measurements. However, the <strong>predicted</strong> pressure<br />

traces do not always closely follow the <strong>measured</strong><br />

pressure traces, especially in case 5. The pressure<br />

results from the second iteration provide much<br />

better match with the test data. In all cases, the<br />

<strong>predicted</strong> pressure traces are much closer to the<br />

<strong>measured</strong> pressure curves throughout the entire<br />

engine cycle. Overall, the peaks are also quite<br />

close to <strong>measured</strong> data in the second iteration.<br />

Only in case 4, the pressure prediction <strong>of</strong><br />

iteration 2 seems worse than that <strong>of</strong> iteration 1.<br />

However, a close examination <strong>of</strong> the pressure<br />

trace shows that the pressure trace is actually<br />

better except the region in the vicinity <strong>of</strong> the<br />

peak pressure.<br />

Ring motions<br />

Axial motions <strong>of</strong> all three <strong>ring</strong>s are plotted along<br />

with the corresponding pressure traces in Figures<br />

Two to Eleven. Due to the improved pressure<br />

trace prediction, the overall <strong>predicted</strong> <strong>ring</strong><br />

motions <strong>of</strong> iteration 2 agree better with the<br />

measurements than those <strong>of</strong> iteration 1. Ring<br />

motion results from iteration 2 are summarized<br />

as follows. In case 1, all <strong>predicted</strong> <strong>ring</strong> motions<br />

are very close to the measurements. Only the oil<br />

<strong>ring</strong> lifting near the Fi<strong>ring</strong> TDC is later <strong>and</strong><br />

lifting period is shorter. This is also true for<br />

cases 3 <strong>and</strong> 4. For case 2, the simulation predicts<br />

that the top <strong>ring</strong> lifts <strong>and</strong> stays at the top <strong>of</strong> the<br />

<strong>ring</strong> groove while the measurement shows that<br />

top <strong>ring</strong> is flutte<strong>ring</strong>. The 2 nd <strong>and</strong> oil <strong>ring</strong> motion<br />

predictions are quite good except an extra lift <strong>of</strong><br />

the oil <strong>ring</strong> near the end <strong>of</strong> the intake stroke. The<br />

simulation shows that the top <strong>ring</strong> lifts at the<br />

same time as the measurement in case 3.<br />

However the top <strong>ring</strong> goes down earlier due to<br />

the lower <strong>predicted</strong> 2 nd l<strong>and</strong> pressure. The 2 nd lift<br />

<strong>of</strong> the top <strong>ring</strong> du<strong>ring</strong> the exhaust stroke has also<br />

been captured by RINGPAK simulation. In case<br />

4, the top <strong>ring</strong> lifts earlier due to the higher<br />

<strong>predicted</strong> inter-<strong>ring</strong> pressure, while the 2 nd <strong>ring</strong><br />

<strong>and</strong> oil <strong>ring</strong> predictions are good. One important<br />

<strong>ring</strong> motion features <strong>of</strong> case 5 is the 2 nd <strong>ring</strong> lift<br />

(flutte<strong>ring</strong>) right before FTDC. This is not<br />

captured by the RINGPAK model. The <strong>predicted</strong><br />

top <strong>ring</strong> <strong>and</strong> oil <strong>ring</strong> motions are close to the<br />

measurement in case 5.<br />

Conclusions<br />

♦ RINGPAK predictions on engine blow-by<br />

correlate well with the measurements in<br />

most cases.<br />

♦ Overall, the inter-<strong>ring</strong> pressure calculations<br />

are quite close to the <strong>measured</strong> pressure<br />

traces. It has been noticed that a small<br />

difference in pressure predictions can<br />

sometime cause completely different <strong>ring</strong><br />

motions.<br />

♦ Many <strong>of</strong> the actual <strong>ring</strong> motion<br />

characteristics have been captured in the<br />

RINGPAK simulations. However, there are<br />

some discrepancies between the simulations<br />

<strong>and</strong> measurements.<br />

♦ RINGPAK has been found to be one <strong>of</strong> the<br />

best programs available on the market. It<br />

produces reasonably good results without<br />

requi<strong>ring</strong> too much effort on “tuning” or<br />

calibrating the model.<br />

4


Recommendations<br />

It has been found through the evaluation process<br />

that all <strong>ring</strong> <strong>pack</strong> <strong>performance</strong> simulation<br />

programs including RINGPAK have areas that<br />

need to be further improved. Indeed, most <strong>of</strong> the<br />

program developers have detailed plans to<br />

develop <strong>and</strong> implement new features. Giving the<br />

complexity <strong>of</strong> the model, it is very critical for<br />

users to validate these new features. The<br />

developers should also commit adequate<br />

resources to the continuation <strong>of</strong> the program<br />

development.<br />

ACKNOWLEDGEMENTS<br />

The first author wants to express his great<br />

appreciation toward the Cummins Engine<br />

Company for conducting this series <strong>of</strong> engine<br />

tests without which this evaluation project will<br />

not be possible.<br />

REFERENCES<br />

1. PISTON RINGPACK ANALYSIS –<br />

Documentation/User’s manual Version 3.1.1,<br />

1999.<br />

2. Namazian, M., <strong>and</strong> Heywood, J. B., “Flow<br />

in the Piston-Cylinder-Ring Crevices <strong>of</strong> a Spark-<br />

Ignition Engine: Effect on Hydrocarbon<br />

Emissions, Efficiency <strong>and</strong> Power,” SAE Paper<br />

820088, 1982.<br />

3. Gulwadi, S. D., “A Mixed Lubrication <strong>and</strong><br />

Oil Transport Model for Piston Rings Using a<br />

Mass Conservation Algorithm,” ASME Journal<br />

<strong>of</strong> Enginee<strong>ring</strong> for Gas Turbines <strong>and</strong> Power,<br />

Vol. 120, 1998, pp.199-208.<br />

4. Gulwadi, S. D., “Analysis <strong>of</strong> Tribological<br />

Performance <strong>of</strong> a Piston Ring Pack,” to be<br />

presented at the STLE/ASME International<br />

Tribology Conference to be held in Oct. 1999.<br />

Under review for publication in Tribology<br />

Transactions.<br />

5. Kuo, T., et al., “Calculation <strong>of</strong> Flow in the<br />

Piston-Cylinder-Ring Crevices <strong>of</strong> a<br />

Homogeneous-Charge Engine <strong>and</strong> Comparison<br />

with Experiment,” SAE Paper 890838, 1989.<br />

6. Richardson, D. E., “Comparison <strong>of</strong><br />

Measured <strong>and</strong> Theoretical Inter-<strong>ring</strong> Gas<br />

Pressure on a Diesel engine,” SAE Paper<br />

961909, 1996.<br />

5


0.0<br />

<strong>Ricardo</strong> Simulation<br />

Test Data<br />

0.0<br />

0.0<br />

0.0<br />

0.0<br />

0.0<br />

0.0<br />

0.0<br />

0.0<br />

case1 case2 case3 case4 case5<br />

Figure One: Blow-by Predictions <strong>and</strong> Measurements<br />

6


Comparions <strong>of</strong> Inter-Ring Gas Pressure <strong>and</strong> Ring Motion<br />

Predicted Ring Motion "a"<br />

Predicted Ring Motion "b"<br />

Actual Ring Motion "a"<br />

Actual Ring Motion "b"<br />

Cylinder Pressure - Model<br />

Predicted Inter-<strong>ring</strong> Pressure<br />

Cylinder Pressure<br />

Actual Inter-Ring Pres.<br />

24<br />

16<br />

8<br />

Pressure<br />

Ring Motion (Up/Down)<br />

Up<br />

Down<br />

Up<br />

Down<br />

Up<br />

Oil<br />

Ring<br />

Down<br />

-24<br />

-360 -270 -180 -90 0 90 180 270 360<br />

Crank Angle (degree)<br />

0<br />

Top<br />

Ring<br />

-8<br />

2nd<br />

Ring<br />

-16<br />

Figure Two: Inter-<strong>ring</strong> Pressure <strong>and</strong> Ring Motion Case 1 – Iteration 1<br />

Comparions <strong>of</strong> Inter-Ring Gas Pressure <strong>and</strong> Ring Motion<br />

Predicted Ring Motion "a"<br />

Predicted Ring Motion "b"<br />

Actual Ring Motion "a"<br />

Actual Ring Motion "b"<br />

Cylinder Pressure - Model<br />

Predicted Inter-<strong>ring</strong> Pressure<br />

Cylinder Pressure<br />

Actual Inter-Ring Pres.<br />

24<br />

16<br />

8<br />

Pressure<br />

Up<br />

Down<br />

Up<br />

Down<br />

Up<br />

Oil<br />

Ring<br />

Down<br />

-24<br />

-360 -270 -180 -90 0 90 180 270 360<br />

Crank Angle (degree)<br />

0<br />

Top<br />

Ring<br />

-8<br />

-16<br />

2nd<br />

Ring<br />

Figure Three: Inter-<strong>ring</strong> Pressure <strong>and</strong> Ring Motion Case 1 – Iteration 2<br />

7


Comparions <strong>of</strong> Inter-Ring Gas Pressure <strong>and</strong> Ring Motion<br />

Predicted Ring Motion "a"<br />

Predicted Ring Motion "b"<br />

Actual Ring Motion "a"<br />

Actual Ring Motion "b"<br />

Cylinder Pressure - Model<br />

Predicted Inter-<strong>ring</strong> Pressure<br />

Cylinder Pressure<br />

Actual Inter-Ring Pres.<br />

24<br />

16<br />

8<br />

Pressure<br />

Ring Motion (Up/Down)<br />

Up<br />

Down<br />

Up<br />

Down<br />

Up<br />

Oil<br />

Ring<br />

Down<br />

-24<br />

-360 -270 -180 -90 0 90 180 270 360<br />

Crank Angle (degree)<br />

0<br />

Top<br />

Ring<br />

-8<br />

2nd<br />

Ring<br />

-16<br />

Figure Four: Inter-<strong>ring</strong> Pressure <strong>and</strong> Ring Motion Case 2 – Iteration 1<br />

Comparions <strong>of</strong> Inter-Ring Gas Pressure <strong>and</strong> Ring Motion<br />

Predicted Ring Motion "a"<br />

Predicted Ring Motion "b"<br />

Actual Ring Motion "a"<br />

Actual Ring Motion "b"<br />

Cylinder Pressure - Model<br />

Predicted Inter-<strong>ring</strong> Pressure<br />

Cylinder Pressure<br />

Actual Inter-Ring Pres.<br />

24<br />

16<br />

8<br />

Pressure<br />

Ring Motion (Up/Down)<br />

Up<br />

Down<br />

Up<br />

Down<br />

Up<br />

Oil<br />

Ring<br />

Down<br />

-24<br />

-360 -270 -180 -90 0 90 180 270 360<br />

Crank Angle (degree)<br />

0<br />

Top<br />

Ring<br />

-8<br />

2nd<br />

Ring<br />

-16<br />

Figure Five: Inter-<strong>ring</strong> Pressure <strong>and</strong> Ring Motion Case 2 – Iteration 2<br />

8


Comparions <strong>of</strong> Inter-Ring Gas Pressure <strong>and</strong> Ring Motion<br />

Predicted Ring Motion "a"<br />

Predicted Ring Motion "b"<br />

Actual Ring Motion "a"<br />

Actual Ring Motion "b"<br />

Cylinder Pressure - Model<br />

Predicted Inter-<strong>ring</strong> Pressure<br />

Cylinder Pressure<br />

Actual Inter-Ring Pres.<br />

24<br />

16<br />

8<br />

Pressure<br />

Ring Motion (Up/Down)<br />

Up<br />

Down<br />

Up<br />

Down<br />

Up<br />

Oil<br />

Ring<br />

Down<br />

-24<br />

-360 -270 -180 -90 0 90 180 270 360<br />

Crank Angle (degree)<br />

0<br />

Top<br />

Ring<br />

-8<br />

2nd<br />

Ring<br />

-16<br />

Figure Six: Inter-<strong>ring</strong> Pressure <strong>and</strong> Ring Motion Case 3 – Iteration 1<br />

Comparions <strong>of</strong> Inter-Ring Gas Pressure <strong>and</strong> Ring Motion<br />

Predicted Ring Motion "a"<br />

Predicted Ring Motion "b"<br />

Actual Ring Motion "a"<br />

Actual Ring Motion "b"<br />

Cylinder Pressure - Model<br />

Predicted Inter-<strong>ring</strong> Pressure<br />

Cylinder Pressure<br />

Actual Inter-Ring Pres.<br />

24<br />

16<br />

8<br />

Pressure<br />

Ring Motion (Up/Down)<br />

Up<br />

Down<br />

Up<br />

Down<br />

Up<br />

Oil<br />

Ring<br />

Down<br />

-24<br />

-360 -270 -180 -90 0 90 180 270 360<br />

Crank Angle (degree)<br />

0<br />

Top<br />

Ring<br />

-8<br />

2nd<br />

Ring<br />

-16<br />

Figure Seven: Inter-<strong>ring</strong> Pressure <strong>and</strong> Ring Motion Case 3 – Iteration 2<br />

9


Comparions <strong>of</strong> Inter-Ring Gas Pressure <strong>and</strong> Ring Motion<br />

Predicted Ring Motion "a"<br />

Predicted Ring Motion "b"<br />

Actual Ring Motion "a"<br />

Actual Ring Motion "b"<br />

Cylinder Pressure - Model<br />

Predicted Inter-<strong>ring</strong> Pressure<br />

Cylinder Pressure<br />

Actual Inter-Ring Pres.<br />

24<br />

16<br />

8<br />

Pressure<br />

Ring Motion (Up/Down)<br />

Up<br />

Down<br />

Up<br />

Down<br />

Up<br />

Oil<br />

Ring<br />

Down<br />

-24<br />

-360 -270 -180 -90 0 90 180 270 360<br />

Crank Angle (degree)<br />

0<br />

Top<br />

Ring<br />

-8<br />

2nd<br />

Ring<br />

-16<br />

Figure Eight: Inter-<strong>ring</strong> Pressure <strong>and</strong> Ring Motion Case 4 – Iteration 1<br />

Comparions <strong>of</strong> Inter-Ring Gas Pressure <strong>and</strong> Ring Motion<br />

Predicted Ring Motion "a"<br />

Predicted Ring Motion "b"<br />

Actual Ring Motion "a"<br />

Actual Ring Motion "b"<br />

Cylinder Pressure - Model<br />

Predicted Inter-<strong>ring</strong> Pressure<br />

Cylinder Pressure<br />

Actual Inter-Ring Pres.<br />

24<br />

16<br />

8<br />

Pressure<br />

Ring Motion (Up/Down)<br />

Up<br />

Down<br />

Up<br />

Down<br />

Up<br />

Oil<br />

Ring<br />

Down<br />

-24<br />

-360 -270 -180 -90 0 90 180 270 360<br />

Crank Angle (degree)<br />

0<br />

Top<br />

Ring<br />

-8<br />

2nd<br />

Ring<br />

-16<br />

Figure Nine: Inter-<strong>ring</strong> Pressure <strong>and</strong> Ring Motion Case 4 – Iteration 2<br />

10


Comparions <strong>of</strong> Inter-Ring Gas Pressure <strong>and</strong> Ring Motion<br />

Predicted Ring Motion "a"<br />

Predicted Ring Motion "b"<br />

Actual Ring Motion "a"<br />

Actual Ring Motion "b"<br />

Cylinder Pressure - Model<br />

Predicted Inter-<strong>ring</strong> Pressure<br />

Cylinder Pressure<br />

Actual Inter-Ring Pres.<br />

24<br />

16<br />

8<br />

Pressure<br />

Ring Motion (Up/Down)<br />

Up<br />

Down<br />

Up<br />

Down<br />

Up<br />

Oil<br />

Ring<br />

Down<br />

-24<br />

-360 -270 -180 -90 0 90 180 270 360<br />

Crank Angle (degree)<br />

0<br />

Top<br />

Ring<br />

-8<br />

2nd<br />

Ring<br />

-16<br />

Figure Ten: Inter-<strong>ring</strong> Pressure <strong>and</strong> Ring Motion Case 5 – Iteration 1<br />

Comparions <strong>of</strong> Inter-Ring Gas Pressure <strong>and</strong> Ring Motion<br />

Predicted Ring Motion "a"<br />

Predicted Ring Motion "b"<br />

Actual Ring Motion "a"<br />

Actual Ring Motion "b"<br />

Cylinder Pressure - Model<br />

Predicted Inter-<strong>ring</strong> Pressure<br />

Cylinder Pressure<br />

Actual Inter-Ring Pres.<br />

24<br />

16<br />

8<br />

Pressure<br />

Ring Motion (Up/Down)<br />

Up<br />

Down<br />

Up<br />

Down<br />

Up<br />

Oil<br />

Ring<br />

Down<br />

-24<br />

-360 -270 -180 -90 0 90 180 270 360<br />

Crank Angle (degree)<br />

0<br />

Top<br />

Ring<br />

-8<br />

2nd<br />

Ring<br />

-16<br />

Figure Eleven: Inter-<strong>ring</strong> Pressure <strong>and</strong> Ring Motion Case 5 – Iteration 2<br />

11

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