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

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

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Chapter 2 ⎡lnSu1 ⎤ ⎢ ⎥ ⎢ lnSu 2 ⎥ b = ⎢. ⎥ ⎢ ⎥ ⎢. ⎥ ⎢lnS ⎥ ⎣ un ⎦ (2.92) And the vector of unknowns X as: lnS u0 ⎡ ⎤ ⎢ ⎥ X = ⎢ α ⎥ ⎢ ⎣ β ⎥ ⎦ This linear equations system is solved applying expression (A-7) of the appendix A. (2.93) 2.6 Concluding remarks about laminar premixed flames tel-00623090, version 1 - 13 Sep 2011 The bibliographic revision made herein allows concluding that any experimental or computed value of laminar burning velocity should be associated with a value of the flame stretch rate. Ideally, the stretch-free value of the burning velocity should be quoted and the influence of stretch rate upon this value should be indicated by the value of the appropriated Markstein length. This is the main reason of the increasing use of the constant pressure method in which the stretch rate is clearly defined. The main advantage of the constant volume method for the determination of the burning velocity is the possibility of exploring a wide range of pressures and temperatures with one explosion. This is the main reason of its utilization for burning velocity determination in engine conditions. 61

Experimental set ups and diagnostics CHAPTER 3 EXPERIMENTAL SET UPS AND DIAGNOSTICS In order to characterize the combustion of typical syngas-air mixtures, various experimental devices are required. Two static combustion chambers were used for burning velocity measurements by constant pressure and constant volume methods. A rapid compression machine (RCM) was also used for simulate the compression/expansion events of an engine. In the following subsections all this devices are described as well as the experimental procedures. 3.1. Experimental set ups 3.1.1. Syngas mixtures tel-00623090, version 1 - 13 Sep 2011 The syngas-air mixtures were prepared using pressurized containers, vacuum pump and pressure transducer by the partial pressure method. The purity of all used gases is at least 99.9%. The simplified chemical reaction that expresses the stoichiometric combustion of syngas for syngas typical compositions is: ⎛ a b ⎞ aH2 + bCO + cCH4 + dCO2 + eN2 + ⎜ + + 2 c ⎟( O2 + 3.76 N2 ) → ⎝ 2 2 ⎠ ⎡ ⎛ a b ⎞⎤ ( b + c + d ) CO + ( a + 2c ) H O + ⎢e + 3.76⎜ + + 2c ⎟ N 2 2 ⎥ ⎣ ⎝ ⎠⎦ 2 2 2 (3.1) The partial pressure of each gas of the syngas-air mixture is given by: n a P P P H2 H = 2 m = m nm a + b + c + d + e + 4.76( f φ) nCO b P = P = P n a + b + c + d + e + 4.76( f φ ) CO m m m n c P P P CH4 CH = 4 m = m nm a + b + c + d + e + 4.76( f φ) n d P P P CO2 CO = 2 m = m nm a + b + c + d + e + 4.76 ( f φ) n e P P P N2 N = 2 m = m nm a + b + c + d + e + 4.76( f φ) (3.2) (3.3) (3.4) (3.5) (3.6) 62

Experimental set ups and diagnostics<br />

CHAPTER 3<br />

EXPERIMENTAL SET UPS AND DIAGNOSTICS<br />

In or<strong>de</strong>r to characterize the <strong>combustion</strong> of typical syngas-air mixtures, various<br />

experimental <strong>de</strong>vices are required. Two static <strong>combustion</strong> chambers were used for<br />

burning velocity measurements by constant pressure and constant volume methods. A<br />

rapid compression machine (RCM) was also used for simu<strong>la</strong>te the<br />

compression/expansion events of an engine. In the following subsections all this<br />

<strong>de</strong>vices are <strong>de</strong>scribed as well as the experimental procedures.<br />

3.1. Experimental set ups<br />

3.1.1. Syngas mixtures<br />

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

The syngas-air mixtures were prepared using pressurized containers, vacuum pump<br />

and pressure transducer by the partial pressure method. The purity of all used gases is<br />

at least 99.9%.<br />

The simplified chemical reaction that expresses the stoichiometric <strong>combustion</strong> of<br />

syngas for syngas typical compositions is:<br />

⎛ a b ⎞<br />

aH2 + bCO + cCH4 + dCO2 + eN2 + ⎜ + + 2 c ⎟( O2 + 3.76 N2<br />

) →<br />

⎝ 2 2 ⎠<br />

⎡ ⎛ a b ⎞⎤<br />

( b + c + d ) CO + ( a + 2c ) H O + ⎢e + 3.76⎜<br />

+ + 2c ⎟ N<br />

2 2<br />

⎥<br />

⎣ ⎝ ⎠⎦<br />

2 2 2<br />

(3.1)<br />

The partial pressure of each gas of the syngas-air mixture is given by:<br />

n<br />

a<br />

P P P<br />

H2<br />

H<br />

=<br />

2 m<br />

=<br />

m<br />

nm<br />

a + b + c + d + e + 4.76( f φ)<br />

nCO<br />

b<br />

P = P =<br />

P<br />

n a + b + c + d + e + 4.76( f φ )<br />

CO m m<br />

m<br />

n<br />

c<br />

P P P<br />

CH4<br />

CH<br />

=<br />

4 m<br />

=<br />

m<br />

nm<br />

a + b + c + d + e + 4.76( f φ)<br />

n<br />

d<br />

P P P<br />

CO2<br />

CO<br />

=<br />

2 m<br />

=<br />

m<br />

nm<br />

a + b + c + d + e + 4.76 ( f φ)<br />

n<br />

e<br />

P P P<br />

N2<br />

N<br />

=<br />

2 m<br />

=<br />

m<br />

nm<br />

a + b + c + d + e + 4.76( f φ)<br />

(3.2)<br />

(3.3)<br />

(3.4)<br />

(3.5)<br />

(3.6)<br />

62

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