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Etude de la combustion de gaz de synthèse issus d'un processus de ...

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Chapter 2<br />

⎡lnSu1<br />

⎤<br />

⎢ ⎥<br />

⎢<br />

lnSu<br />

2 ⎥<br />

b = ⎢.<br />

⎥<br />

⎢ ⎥<br />

⎢.<br />

⎥<br />

⎢lnS<br />

⎥<br />

⎣ un ⎦<br />

(2.92)<br />

And the vector of unknowns X as:<br />

lnS<br />

u0<br />

⎡ ⎤<br />

⎢ ⎥<br />

X = ⎢ α ⎥<br />

⎢<br />

⎣ β ⎥<br />

⎦<br />

This linear equations system is solved applying expression (A-7) of the appendix A.<br />

(2.93)<br />

2.6 Concluding remarks about <strong>la</strong>minar premixed f<strong>la</strong>mes<br />

tel-00623090, version 1 - 13 Sep 2011<br />

The bibliographic revision ma<strong>de</strong> herein allows concluding that any experimental or<br />

computed value of <strong>la</strong>minar burning velocity should be associated with a value of the<br />

f<strong>la</strong>me stretch rate. I<strong>de</strong>ally, the stretch-free value of the burning velocity should be<br />

quoted and the influence of stretch rate upon this value should be indicated by the<br />

value of the appropriated Markstein length. This is the main reason of the increasing<br />

use of the constant pressure method in which the stretch rate is clearly <strong>de</strong>fined.<br />

The main advantage of the constant volume method for the <strong>de</strong>termination of the<br />

burning velocity is the possibility of exploring a wi<strong>de</strong> range of pressures and<br />

temperatures with one explosion. This is the main reason of its utilization for burning<br />

velocity <strong>de</strong>termination in engine conditions.<br />

61

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