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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 />

then the valve curtain area, At, is given from the value <strong>of</strong> x as:<br />

whence<br />

At = 7tf d ° s +dis )\(L - d ° s dis tan <br />

The simple criterion for maximum valve lift, ignoring the effect <strong>of</strong> the valve stem diameter,<br />

can be found from Eq. A5.1 by inserting the area ratio, k, as a maximized value <strong>of</strong> unity,<br />

which produces the information that it is 25% <strong>of</strong> the inner seat diameter. From the above<br />

theory this is manifestly much too simple a conclusion. The effect <strong>of</strong> a (conventional) valve<br />

seat angle <strong>of</strong> 45°, <strong>and</strong> typical values for valve stem diameters, is to empirically raise that ratio<br />

from 0.25 to more nearly 0.3 in practice. Empiricism is quite inadequate in this context, as the<br />

above theory must be employed by the designer to ensure that the flow areas <strong>of</strong> the poppet<br />

valve <strong>and</strong> its port are carefully matched at the design stage. The mathematical reality for the<br />

assessment <strong>of</strong> maximum valve lift is that the discharge coefficient must be incorporated into<br />

the debate as:<br />

CdaAt = Aseat eff (A5.6)<br />

<strong>and</strong> the maximum lift is then found from the curtain area term, At, by iteration for valve lift<br />

until an equality for Eq. A5.6 is obtained.<br />

To ensure accuracy regarding the prediction <strong>of</strong> mass flow rates <strong>and</strong> <strong>of</strong> the magnitude <strong>of</strong><br />

pressure wave formation, this analysis <strong>of</strong> valve curtain area must be incorporated into both<br />

the reduction <strong>of</strong> measured data for the determination <strong>of</strong> the actual coefficient <strong>of</strong> discharge,<br />

Cda, measured in steady flow experiments <strong>and</strong> also into the replay <strong>of</strong> such data within any<br />

engine simulation incorporating unsteady gas flow. For C

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