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Design and Simulation of Two Stroke Engines

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Chapter 5 - Computer Modeling <strong>of</strong> <strong>Engines</strong><br />

The area <strong>of</strong> the port at this juncture is shown in the figure as Ae for a rectangular port <strong>of</strong><br />

width, xp, <strong>and</strong> top <strong>and</strong> bottom corner radii, rt <strong>and</strong> rb, respectively. Notice that the position <strong>of</strong><br />

the top <strong>and</strong> bottom port radii are in the same physical locations for the port, in a cylinder<br />

which is considered to be sitting vertically. Thus the analysis for the instantaneous port area,<br />

Ae, presented in Eqs. 5.2.1 to 5.2.5, is still applicable except that the values for the port radii<br />

must be juxtaposed so as to take this nomenclature into account. The relationship for the<br />

maximum port area, Amax, in Eq. 5.2.6 is correct as it st<strong>and</strong>s.<br />

Hence, during an engine simulation using the theory <strong>of</strong> Sees. 2.16 <strong>and</strong> 2.17, the effective<br />

throat area <strong>of</strong> a port controlled by the piston crown at any juncture (see Eq. 2.16.4) is defined<br />

by At> <strong>and</strong> the numerical value <strong>of</strong> At is that given by Ae in Eqs. 5.2.4 or 5.2.5, taking into<br />

account the above discussion. To carry out this exercise during simulation, be it for a simple<br />

regularly shaped port, or a more complex shape, all <strong>of</strong> the data listed in Fig. 5.1(c) are required<br />

as input data to it.<br />

5.2.2 The porting <strong>of</strong> the cylinder controlled externally<br />

The use <strong>of</strong> valves <strong>of</strong> various types to control the flow through the ports <strong>of</strong> an engine was<br />

introduced in Sec. 1.3. For the intake system, reed valves, disc valves <strong>and</strong> poppet valves are<br />

commonly employed. For the exhaust system, poppet valves have been commonly used, particularly<br />

for diesel engines. As a further refinement to the piston control <strong>of</strong> ports leading to<br />

the exhaust system, timing edge control valves have been utilized, particularly for the highperformance<br />

engines found in racing motorcycles. The areas <strong>of</strong> the ports or apertures leading<br />

into the cylinders <strong>of</strong> the engine must be accounted for in the execution <strong>of</strong> a simulation model<br />

<strong>of</strong> an engine.<br />

The use <strong>of</strong> poppet valves<br />

Poppet valves are not normally used in simple two-stroke engines, but are to be found<br />

quite conventionally in uniflow-scavenged diesel engines used for marine applications or in<br />

trucks <strong>and</strong> buses, such as those shown in Plates 1.4 <strong>and</strong> 1.7. The area for flow through a<br />

poppet valve, at any juncture <strong>of</strong> its lift, is described in detail in Appendix A5.1.<br />

Hence, during an engine simulation using the theory <strong>of</strong> Sees. 2.16 <strong>and</strong> 2.17, the geometric<br />

throat area <strong>of</strong> a port controlled by the piston crown at any juncture (see Eq. 2.16.4) is defined<br />

by At> <strong>and</strong> the numerical value <strong>of</strong> Ae is that given by At in Appendix A5.1 in Eqs. A5.4 <strong>and</strong><br />

A5.5. To carry out this exercise during simulation, all <strong>of</strong> the data shown in Fig. A5.1 are<br />

required as input data to it.<br />

The use <strong>of</strong> a control valve for the port timing edge<br />

The common practice to date has been to apply timing control valves to the exhaust ports<br />

<strong>of</strong> the engine. A typical arrangement for an exhaust port timing control valve is sketched in<br />

Fig. 5.2. In Fig. 5.2(a) the valve is fully retracted so that the timing control edge <strong>of</strong> the valve<br />

coincides with the top edge <strong>of</strong> the exhaust port. The engine has a stroke dimension <strong>of</strong> Lst <strong>and</strong><br />

a trapped stroke <strong>of</strong> length xts. When the valve is rotated clockwise through a small angle <strong>and</strong><br />

held at that position, as in Fig. 5.2(b), normally at a lower point in the engine speed range, the<br />

trapped stroke is effectively changed to xets <strong>and</strong> the total area <strong>of</strong> the port is reduced. Clearly,<br />

the blowdown area <strong>and</strong> the blowdown timing interval are also reduced. While such a valve<br />

363

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