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Vaporization of JP-8 Jet Fuel in a Simulated Aircraft Fuel Tank ...

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The flammability <strong>of</strong> a mixture <strong>of</strong> a known (or assumed to be known) composition<br />

can also be determ<strong>in</strong>ed us<strong>in</strong>g Le Chatelier’s flammability rule [27], as described earlier <strong>in</strong><br />

equation 2.1. The LFL <strong>of</strong> a multicomponent mixture can then be estimated by the<br />

relationship:<br />

xi<br />

LC = ( . 02 − 0.<br />

000721∗T<br />

)∑, i = 1 → N<br />

LFL<br />

1 ( 2.1 )<br />

where xi is the mole fraction <strong>of</strong> species i <strong>in</strong> the mixture and LFLi is the lower<br />

flammability limit (25°C) <strong>of</strong> species i. The mixture is considered flammable if LC>1. It<br />

is more explicitly stated here than for the FAR flammability rule that the flammability <strong>of</strong><br />

a mixture is dependent upon not only the amount <strong>of</strong> fuel <strong>in</strong> the mixture but also the<br />

composition <strong>of</strong> the fuel vapor, as LC is calculated consider<strong>in</strong>g both the fraction and the<br />

LFL <strong>of</strong> each <strong>in</strong>dividual species <strong>in</strong> the mixture. Figure 6.6 shows the calculated Le<br />

Chatelier’s ratio for the two fuel compositions with flashpo<strong>in</strong>ts <strong>of</strong> 115°F and 120°F. Le<br />

Chatelier’s rule <strong>in</strong>dicates that even the more volatile 115°F flashpo<strong>in</strong>t fuel did not<br />

become flammable throughout the length <strong>of</strong> the test. From a safety standpo<strong>in</strong>t, the FAR<br />

rule appears to be more conservative and <strong>in</strong>dicates that mixtures may become flammable<br />

earlier than the Le Chatelier’s rule does. Application to the present results obta<strong>in</strong>ed us<strong>in</strong>g<br />

equivalent fuel species characterizations requires additional consideration, <strong>in</strong>clud<strong>in</strong>g<br />

experimental verification, but for comparison purposes the computed fuel species mole<br />

fractions <strong>in</strong> the ullage, represented <strong>in</strong> terms <strong>of</strong> C5 to C20 normal alkanes only, were used<br />

with equation (1) to calculate the LC ratio as a function <strong>of</strong> time.<br />

I<br />

Figures 6.7 and 6.8 show calculated fuel to air mass ratios and Le Chatelier’s<br />

ratio, respectively, us<strong>in</strong>g the <strong>in</strong>put data from the first example (a heated tank at sea level),<br />

as well as two other pr<strong>of</strong>iles with liquid temperatures 5°F and 10°F higher than the<br />

i<br />

53

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