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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 />

but would show little free oxygen. If the mixture were progressively leaner than stoichiometric,<br />

the exhaust gas would contain lesser amounts <strong>of</strong> CO <strong>and</strong> no H2 but would show higher<br />

concentrations <strong>of</strong> oxygen. The most important, perhaps obvious, issue is that the properties <strong>of</strong><br />

exhaust gas depend not only on temperature but also on the combustion process that created<br />

them. Tables 2.1.2 <strong>and</strong> 2.1.3 show the ratio <strong>of</strong> specific heats, y, <strong>and</strong> gas constant, R, <strong>of</strong> exhaust<br />

gas at various temperatures emanating from the combustion <strong>of</strong> octane at various air-fuel ratios.<br />

The air-fuel ratio <strong>of</strong> 13 represents rich combustion, 15 is stoichiometric <strong>and</strong> an AFR <strong>of</strong><br />

17 is approaching the normal lean limit <strong>of</strong> gasoline burning. The composition <strong>of</strong> the exhaust<br />

gas is shown in Table 2.1.2 at a low temperature <strong>of</strong> 293 K <strong>and</strong> its influence on the value <strong>of</strong> gas<br />

constant <strong>and</strong> the ratio <strong>of</strong> specific heats is quite evident. While the tabular values are quite<br />

typical <strong>of</strong> combustion products at these air-fuel ratios, naturally they are approximate as they<br />

are affected by more than the air-fuel ratio, for the local chemistry <strong>of</strong> the burning process <strong>and</strong><br />

the chamber geometry, among many factors, will also have a pr<strong>of</strong>ound influence on the final<br />

composition <strong>of</strong> any exhaust gas. At higher temperatures, to compare with the data for air <strong>and</strong><br />

exhaust gas at 293 K in Table 2.1.2, this same gaseous composition shows markedly different<br />

properties in Table 2.1.3, when analyzed by the same theoretical approach.<br />

T=293 K<br />

AFR %CO<br />

13 5.85<br />

15 0.00<br />

17 0.00<br />

AFR<br />

13<br />

15<br />

17<br />

Table 2.1.2 Properties <strong>of</strong> exhaust gas at low temperature<br />

% by Volume<br />

%co2<br />

8.02<br />

12.50<br />

11.14<br />

%H20<br />

15.6<br />

14.1<br />

12.53<br />

%o2<br />

0.00<br />

0.00<br />

2.28<br />

%N2<br />

70.52<br />

73.45<br />

74.05<br />

R<br />

299.8<br />

290.7<br />

290.4<br />

Table 2.1.3 Properties <strong>of</strong> exhaust gas at elevated temperatures<br />

T=500 K<br />

R<br />

299.8<br />

290.7<br />

290.4<br />

Y<br />

1.362<br />

1.350<br />

1.352<br />

AFR<br />

13<br />

15<br />

17<br />

T=1000 K<br />

R<br />

299.8<br />

290.8<br />

290.4<br />

Y<br />

1.388<br />

1.375<br />

1.376<br />

Y<br />

1.317<br />

1.307<br />

1.310<br />

From this it is evident that the properties <strong>of</strong> exhaust gas are quite different from air, <strong>and</strong><br />

while they are as temperature dependent as air, they are not influenced by air-fuel ratio, particularly<br />

with respect to the ratio <strong>of</strong> specific heats, as greatly as might be imagined. The gas<br />

constant for rich mixture combustion <strong>of</strong> gasoline is some 3% higher than that at stoichiometric<br />

<strong>and</strong> at lean mixture burning.<br />

68

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