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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 />

The diffuser is designed as a "horn" <strong>and</strong> the exponent, kj,, is called the "horn coefficient."<br />

It is self-evident from any <strong>of</strong> the discussion on gas flow, that all diameters are the internal<br />

diameters <strong>of</strong> the exhaust pipe, <strong>and</strong> that all lengths are distances along the centerline <strong>of</strong> a pipe<br />

which may be curved for some segments.<br />

Some years ago, I presented a paper concerning the empirical design <strong>of</strong> expansion chambers<br />

[2.18]. It is instructive to compare the above discussion with that paper <strong>and</strong> to note that<br />

the empiricism has actually become simpler with the passage <strong>of</strong> both time <strong>and</strong> experience.<br />

For those who wish to have these calculations performed automatically, the Appendix<br />

Listing <strong>of</strong> Computer Programs includes Prog.6.2v2, EXPANSION CHAMBER. This carries<br />

out the useful dual function <strong>of</strong> deducing all <strong>of</strong> the above dimensions <strong>and</strong> data <strong>and</strong> the computer<br />

screen <strong>and</strong> line printer will show a dimensioned sketch <strong>of</strong> the exhaust system. An example<br />

<strong>of</strong> that is shown for a prediction <strong>of</strong> an expansion chamber for the 125 racing motorcycle<br />

engine used as one <strong>of</strong> the working examples in Chapter 5. The screen/line-print output<br />

is shown in Fig. 6.22. If the data predicted by the empirical design program are compared<br />

with that given in Sec. 5.5.2, a considerable level <strong>of</strong> close correspondence will be observed.<br />

Recall that the engine modeling program predicted in Fig. 5.28 a high specific power performance<br />

for an engine with a very similar exhaust system. This should give you some confidence<br />

that this simple program, Prog.6.2v2, albeit overlaid with some considerable practical<br />

experience, enables the rapid <strong>and</strong> efficient preparation <strong>of</strong> the geometry <strong>of</strong> an expansion chamber<br />

for further complete analysis by an engine simulation. Prog.6.2v2 permits you to vary the<br />

diffuser pr<strong>of</strong>ile by changing the horn coefficient. In Fig. 6.22, the values <strong>of</strong> d2 <strong>and</strong> d3 are<br />

displayed as 66 <strong>and</strong> 99 mm, respectively, for a horn coefficient <strong>of</strong> 1.5. If the horn coefficient<br />

GRAND PRIX PIPE<br />

038<br />

056 089 0116 022 022<br />

TUNED LENGTH FROM PISTON TO TAIL PIPE ENTRY IS 832<br />

DESIGN LENGTHS AND DIAMETERS OF AN EXPANSION CHAMBER FOR A TWO-STROKE ENGINE<br />

BORE= 5 6 STROKE= 50.6CON-ROD= 110 EXHAUSTOPENS, B atdc= 81 EXHAUST PORTS= 1<br />

WIDTH EACH PORT= 43 EXHAUST PORT TOP RADIUS= 8 AND BOTTOM RADIUS= 8<br />

ENGINESPEED= 11750 EXHAUSTTEMPERATURE, B C= 600 HORNEXPONENT= 1.5<br />

AREA RATIOS FOR PORTTO PIPE=1.051 AND PORT TO Ml D-SECTION= 9.79<br />

Fig. 6.22 Expansion chamber design for a racing engine using Prog.6.2v2.<br />

444

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