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Autoignition Temperatures for Mixtures of Flammable Liquids with ...

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fuel concentration in % by vol.<br />

Fig. 4:.Relation between the UEL at 1 bar and 10 bar, maximum<br />

possible concentration and the range <strong>of</strong> autoignition <strong>for</strong> n-propanol<br />

fuel concentration in % by volume<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

max. concentration at 1 bar<br />

max. concentration at 10bar<br />

UEL at 10 bar<br />

Upper explosion limit at 1 bar<br />

LEL at 1 and 10 bar<br />

autoignition temp. at 10 bar<br />

Explosion range at 1 bar<br />

0 50 100 150 200 250<br />

LEL at 1 bar and 10 bar<br />

max. concentration at 1 bar<br />

max.concentration at 10 bar<br />

UEL at 1 bar<br />

UEL at 10 bar<br />

AIT at 10 bar<br />

Fig. 5: Relation between the UEL at 1 bar and 10 bar, maximum<br />

possible concentration and the range <strong>of</strong> autoignition <strong>for</strong> n-hexane<br />

Ignition delay times<br />

Due to limited reaction rates, some time will pass<br />

between the admission <strong>of</strong> the fuel and the actual occur<br />

rence <strong>of</strong> the explosion. For determination <strong>of</strong> the AIT it<br />

is there<strong>for</strong>e necessary to wait <strong>for</strong> some time be<strong>for</strong>e the<br />

outcome <strong>of</strong> a run can be regarded as "no ignition".<br />

Under atmospheric conditions the standards require<br />

a waiting time <strong>of</strong> 5 min which is usually sufficient to<br />

avoid the possibility <strong>of</strong> overlooking an explosion due to<br />

a very high ignition delay time. As ignition delay times<br />

are closely related to reaction rates, they can, however,<br />

be shown to follow an Arrhenius-like relation /4/:<br />

~ τ<br />

T / ° C<br />

Explosion range at 1 bar<br />

⎛ ZV<br />

k<br />

⎞<br />

⎜<br />

E A<br />

⋅ ⎟<br />

n<br />

p ⎜ ⎟<br />

⎝ RT ⎠<br />

exp<br />

Range <strong>of</strong> autoignition<br />

at 10 bar<br />

Range <strong>of</strong> autoignition<br />

at 10 bar<br />

0 50 100<br />

T / ° C<br />

150 200<br />

where EA ZV is an apparent activation energy. There<strong>for</strong>e<br />

it is expected that due to the lower ignition temperatures<br />

remarkably longer ignition delay times can be observed<br />

at higher pressures. An extreme example is displayed in<br />

Fig. 6 where it takes more than 35 min (2100 s) <strong>for</strong> a<br />

50%-benzene/50%-hexane mixture to ignite at a<br />

pressure <strong>of</strong> 13.5 bar and 197°C.<br />

As can be also seen from Fig. 6, the ignition delay is<br />

not only influenced by chemical factors (reaction rates),<br />

but also by physical factors like vaporisation and<br />

Explosion range at 10 bar<br />

Explosion range at 10 bar<br />

diffusion rates or the time to heat up the cold injected<br />

liquid. As most <strong>of</strong> these factors have an Arrhenius-like<br />

dependency on temperature similar to the reaction rate,<br />

it is nevertheless possible to obtain a straight line in an<br />

Arrhenius plot. This is demonstrated <strong>for</strong> four compounds<br />

in Fig. 7. The data taken <strong>for</strong> pressures from<br />

2 bar to 15 bar all fall on a single line if a first order<br />

dependence on pressure is assumed. In contrast, delay<br />

times observed at 1 bar <strong>with</strong> the standard apparatus do<br />

not fit on the line but are consistently longer than<br />

expected from an extrapolation from the high pressure<br />

values. They are there<strong>for</strong>e excluded from Fig. 7.<br />

Temperature in ° C<br />

t ZV *p Z in bar*sec<br />

3<br />

300<br />

280<br />

260<br />

240<br />

220<br />

200<br />

180<br />

8<br />

0 500 1000 1500 2000 2500<br />

Time (from start <strong>of</strong> injection) in s<br />

Fig. 6:<strong>Autoignition</strong> <strong>of</strong> a benzene/hexane mixture at<br />

197°C: Igniton delay time > 35 min<br />

10000<br />

1000<br />

100<br />

10<br />

pressure<br />

temperature at the centre <strong>of</strong> autoclave<br />

temperature at the top <strong>of</strong> autoclave<br />

benzene<br />

butyl amine<br />

cyclohexanone<br />

propionic acid<br />

200 250 300 350 400 450 500 550<br />

Temperature in ° C<br />

Fig. 7: Representative Arrhenius plots <strong>for</strong> ignition delay times <strong>with</strong> a<br />

first order dependency on pressure<br />

Apparent activation energies can be calculated from<br />

the slopes <strong>of</strong> the lines in Fig. 7. They may be used to<br />

estimate the delay times <strong>for</strong> reactions at different pressures.<br />

As they are composed <strong>of</strong> several factors, they are,<br />

however, not expected to agree well <strong>with</strong> activation<br />

energies calculated or measured by different methods.<br />

<strong>Autoignition</strong> temperatures<br />

The primary objective <strong>of</strong> the present work is to<br />

determine the autoignition temperatures at elevated<br />

pressures. The results obtained so far <strong>for</strong> pure compounds<br />

are summarised in Tab. 2 and compared to the<br />

values measured at atmospheric pressure <strong>with</strong> a standard<br />

DIN or ASTM apparatus. They include a number<br />

<strong>of</strong> different groups <strong>of</strong> organic compounds such as<br />

16<br />

15<br />

14<br />

13<br />

12<br />

11<br />

10<br />

9<br />

Pressure in bar

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