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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 />

can never seal the port to the extent that a piston can accomplish within the cylinder bore, the<br />

design <strong>of</strong> the valve can be such that it closely follows the piston pr<strong>of</strong>ile over the width <strong>of</strong> the<br />

exhaust port(s). There are many practical designs for such valves, ranging from the cylindrical<br />

in section [7.4] to guillotine designs <strong>and</strong> the lever type shown in Fig. 5.2.<br />

If the simulation model is to incorporate such a timing edge control valve, then several<br />

factors must be taken into account. The first is the altered port pr<strong>of</strong>ile which can be incorporated<br />

into the execution <strong>of</strong> the analytic process described above. Even the "leakage" pr<strong>of</strong>ile<br />

past the valve can be accounted for by assigning an appropriate width to the port to simulate<br />

the area <strong>of</strong> the leakage path. However, if such a valve is found to seal the cylinder at a timing<br />

point other than the fully open position, the simulation model must take into account the<br />

change <strong>of</strong> trapped compression ratio, CRf. This is the consequence <strong>of</strong> the fact that the clearance<br />

volume <strong>of</strong> the engine will have been deduced from the trapped compression ratio at the<br />

full height <strong>of</strong> the exhaust port. Hence the modified trapped compression ratio with the timing<br />

valve lowered is:<br />

CR t modified = ( CR t ~ l) -0 " + 1 (5.2.7)<br />

x ts<br />

The use <strong>of</strong> a disc valve for the intake system<br />

This has been a very popular intake system for many years, particularly for single-cylinder<br />

engines, <strong>and</strong> especially in motorcycles. It is very difficult to incorporate into a multicylinder<br />

design. A sketch <strong>of</strong> the significant dimensions <strong>of</strong> such a valve is shown in Fig. 5.3<br />

<strong>and</strong> a photograph <strong>of</strong> one fitted to an engine is shown in Plate 1.8. Further pertinent information<br />

<strong>and</strong> discussion on disc valve design is seen in Figs. 6.28 <strong>and</strong> 6.29 <strong>and</strong> in Sec. 6.4, where<br />

the nomenclature is common with this section <strong>and</strong> the sketches provide further aid to underst<strong>and</strong>ing<br />

<strong>of</strong> the analysis below. The total opening period <strong>of</strong> such a valve, {j)max. is readily seen<br />

as the combined angles subtended by the disc <strong>and</strong> the port:<br />

max = p + d (5.2.8)<br />

Thus, the total opening period is distributed around the tdc position in an asymmetrical<br />

manner, as presented before in Fig. 1.8. The maximum area <strong>of</strong> the port can be shown to be a<br />

segment <strong>of</strong> an annulus between two circles <strong>of</strong> radius rmax <strong>and</strong> rmjn, less the corner radii, rp.<br />

A max = ^TTT^max " r min) " r p(4 " *) (5.2.9)<br />

The instantaneous area, Ae, is found by a similar theoretical approach to that seen in Eqs.<br />

5.2.1-5.2.4, except that the term for the movement <strong>of</strong> the disc with respect to the angular<br />

crankshaft movement is now more simply deduced in that it is linear. For example, if the disc<br />

has fully uncovered the corner radii at opening, the instantaneous area at a juncture <strong>of</strong> 0° from<br />

the opening position is given by:<br />

0 / 2 2 \ 2l ~ 7t l<br />

8 = ^ 360 ^ max " fmin ^ " H iJ (5 ' 2 " 10)<br />

365

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