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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 />

1.4.2 Compression ratio<br />

All compression ratio values are the ratio <strong>of</strong> the maximum volume in any chamber <strong>of</strong> an<br />

engine to the minimum volume in that chamber. In the crankcase that ratio is known as the<br />

crankcase compression ratio, CRCC, <strong>and</strong> is defined by:<br />

V + V<br />

CR = (1.4.3)<br />

V,<br />

cc<br />

where Vcc is the crankcase clearance volume, or the crankcase volume at bdc.<br />

While it is true that the higher this value becomes, the stronger is the crankcase pumping<br />

action, the actual numerical value is greatly fixed by the engine geometry <strong>of</strong> bore, stroke, conrod<br />

length <strong>and</strong> the interconnected value <strong>of</strong> flywheel diameter. In practical terms, it is rather<br />

difficult to organize the CRCC value for a 50 cm 3 engine cylinder above 1.4 <strong>and</strong> almost physically<br />

impossible to design a 500 cm 3 engine cylinder to have a value less than 1.55. Therefore,<br />

for any given engine design the CRCC characteristic is more heavily influenced by the<br />

choice <strong>of</strong> cylinder swept volume than by the designer. It then behooves the designer to tailor<br />

the engine air-flow behavior around the crankcase pumping action, defined by the inherent<br />

CRCC value emanating from the cylinder size in question. There is some freedom <strong>of</strong> design<br />

action, <strong>and</strong> it is necessary for it to be taken in the correct direction.<br />

In the cylinder shown in Fig. 4.2, if the clearance volume, Vcv, above the piston at tdc is<br />

known, then the geometric compression ratio, CRg, is given by:<br />

V + V<br />

CR = sv cv (1.4.4)<br />

V cv<br />

Theoretically, the actual compression process occurs after the exhaust port is closed, <strong>and</strong><br />

the compression ratio after that point becomes the most important one in design terms. This is<br />

called the trapped compression ratio. Because this is the case, in the literature for two-stroke<br />

engines the words "compression ratio" are sometimes carelessly applied when the precise<br />

term "trapped compression ratio" should be used. This is even more confusing because the<br />

literature for four-stroke engines refers to the geometric compression ratio, but describes it<br />

simply as the "compression ratio." The trapped compression ratio, CRt, is then calculated<br />

from:<br />

V, +V<br />

CR = ts cv (1.4.5)<br />

1.4.3 Piston position with respect to crankshaft angle<br />

At any given crankshaft angle, 0, after tdc, the connecting rod centerline assumes an<br />

angle, (|), to the cylinder centerline. This angle is <strong>of</strong>ten referred to in the literature as the<br />

"angle <strong>of</strong> obliquity" <strong>of</strong> the connecting rod. This is illustrated in Fig. 1.10 <strong>and</strong> the piston<br />

position <strong>of</strong> any point, X, on the piston from the tdc point is given by length H. The controlling<br />

trigonometric equations are:<br />

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