N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N N •••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••• N N N N N N ••••••• N N N N N N ••••••• N N N N N N ••••••• N • N • N • • N • N • N ◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦N ◦◦N ◦N ◦N ◦N ◦N ◦N ◦N ◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦•◦•◦•◦•◦•◦•◦•◦•◦•◦•◦•◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦◦H ◦◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦H ◦ HH NN H N H N H N H N H ••••••• N H H N H N H N H N H N H ••••••• N H H N H N H N H N H N H ••••••• N H • H N • H N • H N • H • N H • N H N H N H H N •••• H N H N H N H N H N H H N ••••••• H N H N H N H N H N H ••••••• H N H N H N H N H N H N H ••••••• N H H N H N H N H N H N H ••••••• N H • H N • H N • H N • H N • H • N H N ••••••• H H N H N ∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ H N H N H N H N H •• N H H N H N ∗∗∗∗∗∗∗∗∗∗∗∗ H N H N H N H ••••••• N H H N H N H N H ∗∗∗∗∗∗∗∗∗∗∗∗ N ∗ H ∗ N H ∗ ••••••• ∗ N H • ∗ H N • ∗ ∗ H • N ∗ H • ∗ N ∗ H • N ∗ H • N ••••••• H N H N H H N ∗∗∗∗∗∗∗∗ H N H N H N H N H ••• N H H N H N H ∗∗∗∗∗∗∗∗∗∗∗∗ N H N H N H ••••••• N H H N H N H N H ∗∗∗∗∗∗∗∗∗∗∗∗ N H N H ••••••• N H N H H N H N H N H ∗∗∗∗∗∗∗∗∗∗∗∗ N H ∗ ••••••• ∗ N H ∗ • N H ∗ • ∗ H N • ∗ H ∗ N • H ∗ H H • H N ∗ H H H ∗ • H N H ∗ H H • H N•••••• H H H H N H H H H H N H H H H H N H H H H N H ∗∗∗∗∗∗∗∗∗ H H H N H H H •H H N H H •H H H N H H •H H N H •H H •H N H •H N H H H •H H N H H H ∗∗∗∗∗∗∗∗∗∗∗∗ H N H ∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ H H H H •••H H H H H • H H H • H H H H • H H H • H •N H H H •N H H ∗∗∗∗∗∗∗∗∗∗∗∗ H H •N ∗H ∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ H H H H ∗H H •N H H ∗H H • H ∗H H H ∗H H •N H ∗H •N ∗H H N ∗H •N ∗H N •N ∗H H N ∗H •N H H H ∗ •N H N ∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ ∗ H H ∗∗∗ H • ∗ H N H H ∗ H • H H ∗ N H H • ∗ ∗ H H ∗ N H ∗ ∗ • H ∗ H H ∗ ∗ H ∗ N • ∗ ∗ H H ∗ H ∗ ∗ H • N ∗ H H ∗ ∗ H ∗ H H ∗∗∗∗∗∗∗∗∗∗ H H H ∗∗∗∗∗ ∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ H H ∗ H ••• ∗ H ∗ H H ∗ •N H ∗ ∗ H H ∗ H •N ∗ H ∗ H H ∗ H •N ∗ H ∗ H H ∗ H •N ∗ ∗ H H ∗ H ∗ •N H ∗ N ∗ H H ∗ H ∗ ∗ •N H ∗ ∗ H ∗ H ∗ H ∗ ∗ H ∗HH ∗H ∗H H ∗∗∗∗∗∗∗∗∗ ∗H ∗H ∗H ∗H ∗H ∗H ∗H ∗H ∗H H ∗H ∗H ∗H ∗H ∗H H ∗H ∗H H H H H ∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗H H H H H H H H H H H H H H H H H H H H H H H H H ∗∗∗∗∗∗∗∗∗∗∗∗ ∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ H H H H H H H H H H H H H H H H H H H H H H H H H H H ∗∗∗∗∗∗∗∗∗∗∗∗ ∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ H H H ∗H H H H ∗H H ∗H H H H ∗H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H ∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗∗ ∗H ∗H ∗H ∗H H ∗H ∗H ∗H ∗H
initial guess
0.0
2.5
5.0
7.5 10.0 Distance [10−3 m]
12.5
15.0
YH2 /10−1 YO2 /100 ∗ YHO /10−5 2
H
H
∗
N • H ◦
∗
∗ ∗∗ H
2400 2100 1800 1500 1200 900 600 300 0 17.5
1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0
H2
16.0 14.0 12.0 10.0 8.0 6.0 4.0 2.0 0.0
Temperature [K]
Velocity [m s−1 ]
Scaled species mass fractions [-] Y ,YH ,YO ,YO2 , YOH ,YH2 O , YHO2 , YH2 O2 ,YN2
P0 =1.0 bar, T0 =298.15 K, φ=1.0, H2 :O2 :N2 = 2.0:1.0:3.76 N N N N Temperature H H • • • • Velocity −3 H H H H Y /10−4 YO /10 H ∗ ∗ ∗ ∗ YOH /10−2 ∗ ∗ ∗ ∗ YH O /100 ∗ ∗ 2 ◦ ◦ ◦ ◦ YN /100 ∗ ∗ ∗ ∗ YH O /10−6 2 2 2
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