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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 />

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cc<br />

D<br />

w<br />

HI<br />

cc<br />

0-<br />

40-1<br />

30-<br />

20-<br />

10-<br />

TOTAL WORK ON PISTON<br />

IS jpdV FOR TOTAL CYCLE<br />

WHICH IS ENCLOSED AREA<br />

ON THE pV DIAGRAM.<br />

~n 1 1 > 1 • 1—<br />

100 200 300 400<br />

CYLINDER VOLUME, cm 3<br />

Q.<br />

0)<br />

E<br />

500<br />

Fig. 1.16 Determination <strong>of</strong>imep from the cylinder p-Vdiagram.<br />

1.5.9 The concept <strong>of</strong> mean effective pressure<br />

As stated above, the enclosed p-V diagram area is the work produced on the piston, in<br />

either the real or the ideal cycle. Fig. 1.16 shows a second rectangular shaded area, equal in<br />

area to the enclosed cylinder p-V diagram. This rectangle is <strong>of</strong> height imep <strong>and</strong> <strong>of</strong> length Vsv,<br />

where imep is known as the indicated mean effective pressure <strong>and</strong> Vsv is the swept volume.<br />

The word "indicated" stems from the historical fact that pressure transducers for engines used<br />

to be called "indicators" <strong>and</strong> the p-V diagram, <strong>of</strong> a steam engine traditionally, was recorded<br />

on an "indicator card." The concept <strong>of</strong> mean effective pressure is extremely useful in relating<br />

one engine development to another for, while the units <strong>of</strong> imep are obviously that <strong>of</strong> pressure,<br />

the value is almost dimensionless. That remark is sufficiently illogical as to require careful<br />

explanation. The point is, any two engines <strong>of</strong> equal development or performance status will<br />

have identical values <strong>of</strong> mean effective pressure, even though they may be <strong>of</strong> totally dissimilar<br />

swept volume. In other words, Figs. 1.14, 1.15 <strong>and</strong> 1.16 could have equally well been<br />

plotted as pressure-compression (or volume) ratio plots <strong>and</strong> the values <strong>of</strong> imep would be<br />

identical for two engines <strong>of</strong> differing swept volume, if the diagrammatic pr<strong>of</strong>iles in the pressure<br />

direction were also identical.<br />

1.5.10 Power <strong>and</strong> torque <strong>and</strong> fuel consumption<br />

Power is defined as the rate <strong>of</strong> doing work. If the engine rotation rate is rps, revolutions<br />

per second, <strong>and</strong> the two-stroke engine has a working cycle per crankshaft revolution, then the<br />

power delivered to the piston crown by the gas force is called the indicated power output, Wj,<br />

\<br />

34

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