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Design and Simulation of Two Stroke Engines

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Chapter 3 - Scavenging the <strong>Two</strong>-<strong>Stroke</strong> Engine<br />

SE„ = Vta<br />

this simplifies to: v v (3.1.3)<br />

cy<br />

The relationship for trapping efficiency, TE, denoted as TEV in this ideal concept, follows<br />

fromEq. 1.5.13 as:<br />

y<br />

TE v=77 5 - (3.1.4)<br />

v as<br />

The expression for the ideal charging efficiency by volume, CEV, follows from Eq. 1.5.15 as:<br />

CE„ = ^ta<br />

V<br />

v<br />

cy<br />

(3-1.5)<br />

In this ideal scavenge process, it is clear from manipulation <strong>of</strong> the above equations that<br />

the charging <strong>and</strong> scavenging efficiencies are identical:<br />

CEV<br />

= SEV<br />

. SE V<br />

(3.1.6)<br />

TEV<br />

<strong>and</strong><br />

SRV<br />

1E v - — (3.1.7)<br />

3.1.1 Perfect displacement scavenging<br />

In the perfect displacement process from Hopkinson [3.1], all fresh charge entering the<br />

cylinder is retained <strong>and</strong> "perfectly displaces" the exhaust gas. This air enters the perfect<br />

scavenge volume, Vpd, shown in Fig. 3.1. Corresponding to the present theoretical presumption<br />

<strong>of</strong> perfect displacement scavenging the value <strong>of</strong> the short-circuit proportion, a, is zero,<br />

<strong>and</strong> the mixing volume illustrated contains only exhaust gas. In other words, the volume <strong>of</strong> air<br />

in the mixing zone is Vam <strong>and</strong> is zero; the quantity <strong>of</strong> air entering the mixing zone is dVam <strong>and</strong><br />

is zero; the quantity <strong>of</strong> air entering the displacement zone at any instant is dVpd <strong>and</strong> is equal<br />

to dVas; the quantity <strong>of</strong> air entering the exhaust at any instant is dVae <strong>and</strong> is equal to zero. In<br />

short, in perfect displacement scavenging the air can fill the cylinder until it is filled completely,<br />

in which case it then spills into the exhaust pipe.<br />

Therefore, if all entering volumes <strong>of</strong> fresh charge, Vas, are less than the cylinder volume,<br />

Vcy, or:<br />

if Vas

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