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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 />

ciency is seen here, for the charging efficiency drops from a peak <strong>of</strong> 0.47 to 0.40, which will<br />

deteriorate the ensuing power <strong>and</strong> torque, bsfc <strong>and</strong> bsHC, by at least that amount, i.e., 15%.<br />

The design question is, as written above: What can be done about it?<br />

In Fig. 5.17 it is discovered where this spilled charge goes. After 190° atdc, the purity at<br />

the cylinder end <strong>of</strong> the scavenge duct decreases from unity to a value <strong>of</strong> about 0.90, <strong>and</strong>, apart<br />

from some localized mixing within the transfer duct, remains at that value when the port shuts<br />

until the next time it is opened, at which point the aforementioned blowdown backflow takes<br />

place <strong>and</strong> reduces it even further. At the exhaust port, <strong>and</strong> in the exhaust pipe, spillage causes<br />

the purity there to rise from 190° atdc until exhaust closure. You should note the subtlety <strong>of</strong><br />

the point being made: scavenging has ceased but spillage takes over. The other apparent<br />

contradiction is that, during this same period, the cylinder scavenging efficiency, i.e., purity,<br />

continues to rise. The explanation is that the spilled charge, i.e., that at the exhaust port, is <strong>of</strong><br />

lesser purity than the cylinder mean <strong>and</strong> while mass is lost from the cylinder, the average<br />

purity <strong>of</strong> the cylinder charge is improved.<br />

The scavenge model from the theory given Sec. 3.3.2, <strong>and</strong> shown graphically in Fig. 3.19<br />

for the "loopsaw" test cylinder, is seen in operation in Fig. 5.17, in that the purity at the<br />

exhaust port tracks the cylinder purity <strong>and</strong> lagging behind it as dictated by Eq. 3.3.12.<br />

The temperatures <strong>of</strong> the gas during scavenging, in various locations beside or within the<br />

cylinder, are shown in Figs. 5.18 <strong>and</strong> 5.21. In Fig. 5.18, at the cylinder end <strong>of</strong> the scavenge<br />

duct, the blowdown backflow causes an initial rise to 240°C, <strong>and</strong> then flow from the crankcase<br />

drops it down to about 100°C by bdc, whence cylinder spillage, with gas at a lesser<br />

purity <strong>and</strong> at some 300°C, increases it to nearly 200°C by transfer port closure. After that,<br />

with mixing caused by internal pressure wave motion in the transfer duct, <strong>and</strong> by expansion<br />

during the induction phase, the temperature decays to about 130°C by the port opening point.<br />

The cylinder temperature shows more dramatic behavior, falling from over 1000°C at the<br />

onset <strong>of</strong> scavenging, to a minimum at about 250°C with the influx <strong>of</strong> colder air from the<br />

crankcase, <strong>and</strong> then it rises toward the beginning <strong>of</strong> compression.<br />

In Fig. 5.18, the temperature in the exhaust pipe at the exhaust port has an interesting<br />

pr<strong>of</strong>ile. It tracks cylinder temperature but is always higher, as the gas which is leaving the<br />

cylinder has a lesser purity <strong>and</strong> therefore a higher temperature than the mean <strong>of</strong> the cylinder<br />

contents. This follows the discussion in Sec. 3.3.3 regarding the temperature differential model<br />

for air <strong>and</strong> exhaust gas at this very juncture. The behavior <strong>of</strong> this model is shown in Fig. 5.21,<br />

<strong>and</strong> the apparently inexplicable flat in the exhaust gas temperature pr<strong>of</strong>ile in Fig. 5.18 is now<br />

clarified. At the beginning <strong>of</strong> scavenging, the entering air is rapidly heated to nearly 600°C,<br />

but falls as more enters <strong>and</strong> cools the entire cylinder contents. On the other h<strong>and</strong>, the exhaust<br />

gas, during this early period <strong>of</strong> "perfect displacement" scavenging up to 160° atdc, is leaving<br />

the cylinder without benefit <strong>of</strong> this cooling through mixing, which explains the "flat" on the<br />

pr<strong>of</strong>ile. The temperature differential model, as defined in Eqs. 3.3.13 to 3.3.18, is seen to<br />

control the average in-cylinder air <strong>and</strong> exhaust gas pr<strong>of</strong>iles in a logical manner. The word<br />

logical is employed as there is no means <strong>of</strong> ever confirming this statement with experimental<br />

data. The apparently instantaneous equalization <strong>of</strong> temperatures at the trapping point is merely<br />

the computer program informing the cylinder contents that they will be theoretically treated<br />

as a homogeneous gas from that point onward in the compression process.<br />

388

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