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Design and Simulation of Two Stroke Engines

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CD<br />

1.2 -i<br />

1.0 -<br />

di „„<br />

LU 0.8<br />

cc<br />

m<br />

z<br />

O 0.6 -<br />

H<br />

O<br />

UL<br />

CO<br />

CO<br />

<<br />

0.4 -<br />

0.2 ---r<br />

0.0<br />

350<br />

125 cc GP MOTORCYCLE ENGINE, 10350 rpm<br />

DR=1.15,SE=0.96<br />

IGNITION 20 9 btdc<br />

HEAT RELEASE, 8 B btdc, DELAY 12 B b e =41 e<br />

Chapter 4 - Combustion in <strong>Two</strong>-<strong>Stroke</strong> <strong>Engines</strong><br />

MEASURED<br />

Vibea=5.25, m=1.25<br />

360<br />

—r<br />

370 380 390<br />

CRANKSHAFT ANGLE, degrees<br />

Fig. 4.7(e) Mass fraction burned characteristics <strong>of</strong> a racing engine.<br />

The data are recorded by Cartwright [4.35] in the course <strong>of</strong> the preparation <strong>of</strong> that reference.<br />

The measured data can be seen to be modeled by Vibe coefficients, a <strong>and</strong> m, <strong>of</strong> 5.25 <strong>and</strong> 1.25,<br />

respectively. The burn period, b°, at an engine speed <strong>of</strong> 10,350 rpm in the middle <strong>of</strong> the power<br />

b<strong>and</strong>, <strong>and</strong> a scavenging efficiency <strong>of</strong> 0.95, is quite brief at 41°. Note that the fuel being consumed<br />

is aviation gasoline with a motor octane number (MON) <strong>of</strong> 100, <strong>and</strong> a H/C molecular<br />

ratio <strong>of</strong> 2.1; it is colloquially referred to as "avgas." The 50% burn position is at 9° atdc; the<br />

periods <strong>of</strong> 0-20%, 0-50%, <strong>and</strong> 0-80% burn are recorded as 10°, 17° <strong>and</strong> 25°, respectively.<br />

There are many common factors in these diagrams <strong>of</strong> mass fraction burned. One which is<br />

almost universal is the siting <strong>of</strong> the 50% point for the mass fraction burned, B. The optimized<br />

burn pr<strong>of</strong>ile rarely has this point before 5° atdc nor later than 10° atdc. It can also be observed,<br />

from Fig. 4.5 <strong>and</strong> Figs. 4.7(a), (b), (d), <strong>and</strong> (e) that the ignition delay for engines, with scavenging<br />

efficiencies at 0.75 <strong>and</strong> above, are quite commonly between 10° <strong>and</strong> 14°, whereas at<br />

the lower scavenging efficiency, to be found in Fig. 4.7(c), this rises to 23° crankshaft angle.<br />

However, I would not wish this to become the universal "law <strong>of</strong> ignition delay," for the evidence<br />

is too flimsy for that conclusion. The modeler should note that increasing the value <strong>of</strong> the<br />

coefficient, a, <strong>and</strong> decreasing the value <strong>of</strong> the coefficient, m, advances the rate <strong>of</strong> combustion.<br />

313<br />

400

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