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Design and Simulation of Two Stroke Engines

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It will be seen that expansion <strong>of</strong> Eq. 1.5.12 gives:<br />

Chapter 1 - Introduction to the <strong>Two</strong>-<strong>Stroke</strong> Engine<br />

TE= m tr SE (1.5.13)<br />

msrefSR<br />

It will also be seen under ideal conditions, in Chapter 3, that mtr can be considered to be<br />

equal to msref <strong>and</strong> that Eq. 1.5.13 can be simplified in an interesting manner, i.e.,<br />

^ SE<br />

TE = —<br />

SR<br />

In Sec. 1.6.3, a means <strong>of</strong> measuring trapping efficiency in a firing engine from exhaust<br />

gas analysis will be described.<br />

1.5.4 Charging efficiency<br />

Charging efficiency, CE, expresses the ratio <strong>of</strong> the filling <strong>of</strong> the cylinder with air, by<br />

comparison with filling that same cylinder perfectly with air at the onset <strong>of</strong> the compression<br />

stroke. After all, the object <strong>of</strong> the design exercise is to fill the cylinder with the maximum<br />

quantity <strong>of</strong> air in order to burn a maximum quantity <strong>of</strong> fuel with that same air. Hence, charging<br />

efficiency, CE, is given by:<br />

CE = jni§i_ (1514)<br />

m sref<br />

It is also the product <strong>of</strong> trapping efficiency <strong>and</strong> scavenge ratio, as shown here:<br />

CE = B*L x _i^as_ = TE x SR (1 -5.15)<br />

m as<br />

m sref<br />

It should be made quite clear that this definition is not precisely as defined in S AE J604d<br />

[1.24]. In that SAE nomenclature St<strong>and</strong>ard, the reference mass is declared to be m^f from<br />

Eq. 1.5.2, <strong>and</strong> not msref as used from Eq. 1.5.4. My defense for this is "custom <strong>and</strong> practice in<br />

two-stroke engines," the fact that it is all <strong>of</strong> the cylinder space that is being filled <strong>and</strong> not just<br />

the swept volume, the convenience <strong>of</strong> charging efficiency assessment by the relatively straightforward<br />

experimental acquisition <strong>of</strong> trapping efficiency <strong>and</strong> scavenge ratio, <strong>and</strong> the opinion<br />

<strong>of</strong> Benson [1.4, Vol. 2].<br />

7.5.5 Air-to-fuel ratio<br />

It is important to realize that there are narrow limits <strong>of</strong> acceptability for the combustion <strong>of</strong><br />

air <strong>and</strong> fuel, such as gasoline or diesel. In the case <strong>of</strong> gasoline, the ideal fuel is octane, C8Hlg,<br />

which burns "perfectly" with air in a balanced equation called the stoichiometric equation.<br />

Most students will recall that air is composed, volumetrically <strong>and</strong> molecularly, <strong>of</strong> 21 parts<br />

29

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