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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 />

also x3 = — = 0.825 x6 = 1.20 x 3.76 = 4.52<br />

The actual combustion equation now becomes<br />

CH165 Hj 65 + 4• 1.20(O2 1.20(O2_+ + 3.76? 3.76N2) 4<br />

(4J<br />

0.424CO + 0.576CO2 +"6.825H20 + 4.52N2<br />

The total moles <strong>of</strong> combustion products are 6.342 which, upon division into the moles <strong>of</strong><br />

each gaseous component, gives the volumetric proportion <strong>of</strong> that particular gas. The exhaust<br />

gas composition is therefore 6.7% CO, 9.1% C02, 13.0% H20, <strong>and</strong> the remainder nitrogen.<br />

The emission <strong>of</strong> carbon monoxide is now significant, by comparison with the zero concentration<br />

ideally to be found at stoichiometry, the 12.5% C02 concentration <strong>and</strong> the 14.1% H20<br />

proportions by volume as seen in the equivalent analysis for octane in Sec. 2.1.6.<br />

4.3.2.3 Lean mixture combustion<br />

In lean mixture combustion, the value <strong>of</strong> the equivalence ratio is greater than unity:<br />

X>\ (4.3.15)<br />

In the first instance let dissociation effects be ignored, in which case Eqs. 4.3.5 to 4.3.8<br />

are directly soluble, hence X5 is zero. There is excess oxygen to burn all <strong>of</strong> the fuel so there is<br />

no free carbon monoxide <strong>and</strong> the value <strong>of</strong> xi is zero. The molecular balances become:<br />

x2 = 1 x3 = - 2Xm = 2x2 + x3 + 2x4 x6 = Xmk<br />

Hence, for the remaining unknown X4:<br />

x 4=A, m-l-- (4.3.16)<br />

Consider a practical example where the equivalence ratio is 50% lean <strong>of</strong> stoichiometry<br />

for the combustion <strong>of</strong> diesel fuel, i.e., the value <strong>of</strong> n is 1.81 <strong>and</strong> the value <strong>of</strong> A, is 1.5.From Eq.<br />

4.3.11 the value <strong>of</strong> A^ is found as:<br />

Xm = x(l + -] = 1.5 x (1 + — j = 2.178<br />

1 01<br />

Hence x4 = 2.178 - 1 - — = 0.726<br />

300

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