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Design and Simulation of Two Stroke Engines

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Chapter 3<br />

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

3.0 Introduction<br />

In Chapter 1, particularly Sec. 1, there is a preliminary description <strong>of</strong> scavenging for the<br />

various types <strong>of</strong> two-stroke engines. This chapter continues that discussion in greater depth<br />

<strong>and</strong> provides practical advice <strong>and</strong> references to computer design programs to aid the design<br />

process for particular types <strong>of</strong> engine.<br />

3.1 Fundamental theory<br />

The original paper on scavenging flow was written by Hopkinson [3.1] in 1914. It is a<br />

classic paper, written in quite magnificent English, <strong>and</strong> no serious student <strong>of</strong> the two-stroke<br />

engine can claim to be such if that paper has not been read <strong>and</strong> absorbed. It was Hopkinson<br />

who conceived the notion <strong>of</strong> "perfect displacement" <strong>and</strong> "perfect mixing" scavenge processes.<br />

Benson [1.4] also gives a good account <strong>of</strong> the theory <strong>and</strong> exp<strong>and</strong>s it to include the work <strong>of</strong><br />

himself <strong>and</strong> Br<strong>and</strong>ham. The theory used is quite fundamental to our conception <strong>of</strong> scavenging,<br />

so it is repeated here in abbreviated form. Later it will be shown that there is a problem in<br />

correlation <strong>of</strong> these simple theories with measurements.<br />

The simple theories <strong>of</strong> scavenging all postulate the ideal case <strong>of</strong> scavenging a cylinder<br />

which has a constant volume, Vcy, as shown in Fig. 3.1, with a fresh air charge in an isothermal,<br />

isobaric process. It is obvious that the real situation is very different from this idealized<br />

postulation, for the reality contains gas flows occurring at neither constant cylinder volume,<br />

constant cylinder temperature, nor constant cylinder pressure. Nevertheless, it is always important,<br />

theoretically speaking, to determine the ideal behavior <strong>of</strong> any system or process as a<br />

marker <strong>of</strong> its relationship with reality.<br />

In Fig. 3.1 the basic elements <strong>of</strong> flow are represented. The incoming scavenge air can<br />

enter either a space called the "displacement zone" where it will be quite undiluted with<br />

exhaust gas, or a "mixing zone" where it mixes with the exhaust gas, or it can be directly<br />

short-circuited to the exhaust pipe providing the worst <strong>of</strong> all scavenging situations.<br />

In this isothermal <strong>and</strong> isobaric process, the incoming air density, pa, the cylinder gas<br />

density, pc, <strong>and</strong> the exhaust gas density, pex, are identical. Therefore, from the theory previously<br />

postulated in Sec. 1.5, the values <strong>of</strong> purity, scavenge ratio, scavenging efficiency, trapping<br />

efficiency, <strong>and</strong> charging efficiency in this idealized simulation become functions <strong>of</strong> the<br />

volume <strong>of</strong> the several components, rather than the mass values as seen in Eqs. 1.5.1-1.5.9.<br />

The following equations illustrate this point.<br />

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