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Design and Simulation of Two Stroke Engines

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<strong>Design</strong> <strong>and</strong> <strong>Simulation</strong> <strong>of</strong> <strong>Two</strong>-<strong>Stroke</strong> <strong>Engines</strong><br />

1.4<br />

O 1.3 -<br />

DC<br />

DC<br />

111<br />

DC<br />

CD<br />

CO<br />

CO<br />

ID<br />

DC<br />

0_<br />

1.2 -<br />

I '•»<br />

LU<br />

DC 0.9 H<br />

Q_<br />

0.8<br />

1.1<br />

1.0<br />

MEASURED<br />

DIVERGENT TAPER<br />

TIME, seconds<br />

0.00 0.01 0.02 0.03 0.04 0.05 0.06<br />

Fig. 2.44 Measured <strong>and</strong> calculated pressures at station 2.<br />

MEASURED<br />

DIVERGENT TAPER<br />

TIME, seconds<br />

0.9<br />

0.00 0.01 0.02 0.03 0.04 0.05 0.06<br />

Fig. 2.45 Measured <strong>and</strong> calculated pressures at station 3.<br />

Actually, as it is a short, steeply tapered pipe there is a close resemblance between the<br />

behavior <strong>of</strong> this pipe <strong>and</strong> the sudden contraction discussed in Sec. 2.19.3 <strong>and</strong> illustrated in<br />

Figs. 2.34 to 2.37. The cylinder release conditions were identical in both cases so the exhaust<br />

pulses which arrived at the discontinuity in areas was the same. Consequently there are great<br />

similarities between Figs. 2.35 <strong>and</strong> 2.43 for the pressure transducer at station 1, <strong>and</strong> between<br />

Figs. 2.36 <strong>and</strong> 2.44 for the pressure transducer at station 2. The records for the tapered pipe<br />

look slightly more "peaky" in certain places. However, that effect is seen more strongly in<br />

Fig. 2.45 where the onward transmission <strong>of</strong> the residual <strong>of</strong> the exhaust pulse is observed to<br />

have developed a shock front as it passes the pressure transducer at station 3. In other words,<br />

the tapered pipe has contributed to, <strong>and</strong> exaggerated, the normal distortion process <strong>of</strong> a compression<br />

wave pr<strong>of</strong>ile. It is also interesting to compare the amplitudes <strong>of</strong> the transmitted <strong>and</strong><br />

reflected waves, as the tapered pipe should be more efficient at this than a sudden expansion.<br />

The peak <strong>of</strong> the suction wave from the tapered pipe undergoing superposition at 0.024 second<br />

at station 1 is 0.68 atm; for the sudden expansion it is 0.74 atm or less strength <strong>of</strong> expansion<br />

wave reflection. The peak <strong>of</strong> the transmitted wave from the tapered pipe passing station 3<br />

undisturbed at 0.011 second is 1.08 atm; for the sudden expansion it is 1.05 atm or an exhaust<br />

pulse <strong>of</strong> reduced strength is delivered farther down the pipe system.<br />

182

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