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Design and Simulation of Two Stroke Engines

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Chapter 4 - Combustion in <strong>Two</strong>-<strong>Stroke</strong> <strong>Engines</strong><br />

theoretical approach, the use <strong>of</strong> empirically determined coefficients, particularly for factors<br />

relating to turbulence, has increased greatly over the earlier proposal <strong>of</strong> a simple heat release<br />

model to simulate the combustion process. It is somewhat questionable if the overall accuracy<br />

<strong>of</strong> the calculation has been greatly improved, although the results presented by Reid [4.29-<br />

4.31] are impressive. There is no doubt that valuable underst<strong>and</strong>ing is gained, in that the user<br />

obtains data from the computer calculation on such important factors as exhaust gas emissions<br />

<strong>and</strong> the flame duration. However, this type <strong>of</strong> calculation is probably more logical when<br />

applied in three-dimensional form <strong>and</strong> allied to a more general CFD calculation for the gas<br />

behavior throughout the cylinder leading up to the point <strong>of</strong> ignition. This is discussed briefly<br />

in the next section.<br />

4.4.4 Three-dimensional combustion model for spark-ignition engines<br />

From the previous comments it is clearly necessary that reliance on empirically determined<br />

factors for heat transfer <strong>and</strong> turbulence behavior, which refer to the combustion chamber<br />

as a whole, will have to be exchanged for a more microscopic examination <strong>of</strong> the entire<br />

system if calculation accuracy is to be enhanced. This is possible by the use <strong>of</strong> a combustion<br />

model in conjunction with a computational fluid dynamics model <strong>of</strong> the gas flow behavior<br />

within the chamber. Computational fluid dynamics, or CFD, was introduced in Chapter 3,<br />

where it was shown to be a powerful tool to illuminate the underst<strong>and</strong>ing <strong>of</strong> scavenge flow<br />

within the cylinder.<br />

That the technology is moving toward providing the microscopic in-cylinder gas-dynamic<br />

<strong>and</strong> thermodynamic information is seen in the paper by Ahmadi-Befrui etal. [4.21]. Fig. 4.10<br />

is taken directly from that paper <strong>and</strong> it shows the in-cylinder velocities, but the calculation<br />

holds all <strong>of</strong> the thermodynamic properties <strong>of</strong> the charge as well, at a point just before ignition.<br />

This means that the prediction <strong>of</strong> heat transfer effects at each time step in the calculation will<br />

take place at the individual calculation mesh level, rather than by empiricism for the chamber<br />

as a whole, as was the case in the preceding sections. For example, should any one surface or<br />

side <strong>of</strong> the combustion bowl be hotter than another, the calculation will predict the heat transfer<br />

in this microscopic manner giving new values <strong>and</strong> directions for the motion <strong>of</strong> the cylinder<br />

charge. This will affect the resulting combustion behavior.<br />

This calculation can be extended to include the chemistry <strong>of</strong> the subsequent combustion<br />

process. Examples <strong>of</strong> this have been published by Amsden et al. [4.20] <strong>and</strong> Fig. 4.11 is an<br />

example <strong>of</strong> their theoretical predictions for a direct injection, stratified charge, spark-ignition<br />

engine. Fig. 4.11 illustrates a section through the combustion bowl, the flat-topped piston <strong>and</strong><br />

cylinder head. Reading across from top to bottom, at 28° btdc, the figure shows the spray<br />

droplets, gas particle velocity vectors, isotherms, turbulent kinetic energy contours, equivalence<br />

ratio contours, <strong>and</strong> the octane mass fraction contours. The paper [4.20] goes on to show<br />

the ensuing combustion <strong>of</strong> the charge. This form <strong>of</strong> combustion calculation is preferred over<br />

any <strong>of</strong> those models previously discussed, as the combustion process is now being theoretically<br />

examined at the correct level. However much computer time such calculations require,<br />

they will become the normal design practice in the future, for computers are becoming ever<br />

more powerful, ever more compact, faster <strong>and</strong> less costly with the passage <strong>of</strong> time.<br />

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