Note
Go to the end to download the full example code
Laminar flame speed calculation#
A freely-propagating, premixed hydrogen flat flame with multicomponent transport properties.
Requires: cantera >= 3.0
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> reactants <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
Mass Flux: 1.339 kg/m^2/s
Temperature: 300 K
Mass Fractions:
H2 0.009478
O2 0.1368
AR 0.8538
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> flame <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
Pressure: 1.013e+05 Pa
-------------------------------------------------------------------------------
z velocity spread_rate T lambda eField
-------------------------------------------------------------------------------
0 1 0 300 0 0
0.006 1 0 300 0 0
0.009 1 0 300 0 0
0.0105 2.206 0 698.2 0 0
0.012 3.411 0 1096 0 0
0.015 5.822 0 1893 0 0
0.018 5.822 0 1893 0 0
0.024 5.822 0 1893 0 0
0.03 5.822 0 1893 0 0
-------------------------------------------------------------------------------
z H2 H O O2 OH
-------------------------------------------------------------------------------
0 0.009478 0 0 0.1368 0
0.006 0.009478 0 0 0.1368 0
0.009 0.009478 0 0 0.1368 0
0.0105 0.00711 4.692e-08 8.204e-06 0.1179 0.0001366
0.012 0.004741 9.384e-08 1.641e-05 0.09903 0.0002732
0.015 4.422e-06 1.877e-07 3.282e-05 0.06129 0.0005463
0.018 4.422e-06 1.877e-07 3.282e-05 0.06129 0.0005463
0.024 4.422e-06 1.877e-07 3.282e-05 0.06129 0.0005463
0.03 4.422e-06 1.877e-07 3.282e-05 0.06129 0.0005463
-------------------------------------------------------------------------------
z H2O HO2 H2O2 AR N2
-------------------------------------------------------------------------------
0 0 0 0 0.8538 0
0.006 0 0 0 0.8538 0
0.009 0 0 0 0.8538 0
0.0105 0.02109 2.319e-07 1.338e-08 0.8538 0
0.012 0.04218 4.638e-07 2.675e-08 0.8538 0
0.015 0.08437 9.276e-07 5.351e-08 0.8538 0
0.018 0.08437 9.276e-07 5.351e-08 0.8538 0
0.024 0.08437 9.276e-07 5.351e-08 0.8538 0
0.03 0.08437 9.276e-07 5.351e-08 0.8538 0
-------------------------------------------------------------------------------
z
-------------------------------------------------------------------------------
0
0.006
0.009
0.0105
0.012
0.015
0.018
0.024
0.03
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> products <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
-------------------------------------------------------------------------------
z
-------------------------------------------------------------------------------
0
************ Solving on 9 point grid with energy equation enabled ************
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 1.898e-05 6.481
Attempt Newton solution of steady-state problem... success.
Problem solved on [9] point grid(s).
Expanding domain to accommodate flame thickness. New width: 0.06 m
##############################################################################
Refining grid in flame.
New points inserted after grid points 0 1 2 3 4 5 6
to resolve AR H H2 H2O H2O2 HO2 O O2 OH T velocity
##############################################################################
*********** Solving on 16 point grid with energy equation enabled ************
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 1.898e-05 6.715
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 1.014e-05 7.161
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0001732 5.116
Attempt Newton solution of steady-state problem... success.
Problem solved on [16] point grid(s).
..............................................................................
grid refinement disabled.
******************** Solving with grid refinement enabled ********************
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [16] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 3 4 5 6 7 8 9
to resolve AR H H2 H2O H2O2 HO2 O O2 OH T velocity
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0001709 5.24
Attempt Newton solution of steady-state problem... success.
Problem solved on [23] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 6 7 8 9 10 11 12 13 14
to resolve AR H H2 H2O H2O2 HO2 O O2 OH T velocity
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... failure.
Take 10 timesteps 0.0001709 5.197
Attempt Newton solution of steady-state problem... success.
Problem solved on [32] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 9 10 11 12 13 14 15 16 17 18 20 21
to resolve AR H H2 H2O H2O2 HO2 O O2 OH T velocity
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [44] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 12 13 14 15 16 17 18 19 20 21 22
to resolve AR H H2 H2O H2O2 HO2 O O2 OH T velocity
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [55] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
to resolve AR H H2 H2O H2O2 HO2 O O2 OH T velocity
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [70] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
to resolve AR H H2 H2O H2O2 HO2 O O2 OH T velocity
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [88] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41
to resolve AR H H2O H2O2 HO2 O O2 OH T velocity
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [110] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
to resolve H H2O2 HO2
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [134] point grid(s).
..............................................................................
##############################################################################
Refining grid in flame.
New points inserted after grid points 32 33 34 35 36 37
to resolve HO2
##############################################################################
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [140] point grid(s).
..............................................................................
no new points needed in flame
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> reactants <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
Mass Flux: 0.9522 kg/m^2/s
Temperature: 300 K
Mass Fractions:
H2 0.009478
O2 0.1368
AR 0.8538
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> flame <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
Pressure: 1.013e+05 Pa
-------------------------------------------------------------------------------
z velocity spread_rate T lambda eField
-------------------------------------------------------------------------------
0 0.7113 0 300 0 0
0.006 0.7113 0 300 0 0
0.012 0.7113 0 300 0 0
0.015 0.7113 0 300 0 0
0.0165 0.7113 0 300 0 0
0.018 0.7113 0 300 0 0
0.01875 0.7113 0 300 0 0
0.01912 0.7113 0 300 0 0
0.0195 0.7113 0 300 0 0
0.01987 0.7112 0 300 0 0
0.02006 0.711 0 300 0 0
0.02025 0.7106 0 300 0 0
0.02044 0.7099 0 300.2 0 0
0.02053 0.7093 0 300.5 0 0
0.02058 0.7092 0 300.9 0 0
0.02062 0.7096 0 301.7 0 0
0.02067 0.7111 0 303.2 0 0
0.02072 0.7151 0 306 0 0
0.02074 0.7191 0 308.5 0 0
0.02077 0.7255 0 312.1 0 0
0.02079 0.7355 0 317.5 0 0
0.0208 0.7425 0 321.1 0 0
0.02081 0.7513 0 325.6 0 0
0.02082 0.7623 0 331 0 0
0.02084 0.776 0 337.7 0 0
0.02084 0.784 0 341.6 0 0
0.02085 0.793 0 345.9 0 0
0.02085 0.803 0 350.7 0 0
0.02086 0.8141 0 356 0 0
0.02087 0.8264 0 361.8 0 0
0.02087 0.84 0 368.2 0 0
0.02088 0.855 0 375.3 0 0
0.02088 0.8715 0 383 0 0
0.02089 0.8804 0 387.1 0 0
0.02089 0.8897 0 391.5 0 0
0.02089 0.8994 0 396 0 0
0.02089 0.9096 0 400.7 0 0
0.0209 0.9202 0 405.7 0 0
0.0209 0.9313 0 410.8 0 0
0.0209 0.9428 0 416.1 0 0
0.02091 0.9548 0 421.7 0 0
0.02091 0.9673 0 427.5 0 0
0.02091 0.9804 0 433.5 0 0
0.02092 0.9938 0 439.8 0 0
0.02092 1.008 0 446.2 0 0
0.02092 1.037 0 459.8 0 0
0.02093 1.069 0 474.2 0 0
0.02094 1.102 0 489.5 0 0
0.02094 1.137 0 505.6 0 0
0.02095 1.173 0 522.4 0 0
0.02095 1.212 0 540 0 0
0.02096 1.251 0 558.2 0 0
0.02096 1.292 0 577 0 0
0.02097 1.334 0 596.3 0 0
0.02098 1.377 0 616 0 0
0.02098 1.421 0 636.2 0 0
0.02099 1.465 0 656.6 0 0
0.02099 1.51 0 677.3 0 0
0.021 1.555 0 698.2 0 0
0.02101 1.601 0 719.2 0 0
0.02101 1.647 0 740.3 0 0
0.02102 1.693 0 761.4 0 0
0.02102 1.739 0 782.6 0 0
0.02103 1.785 0 803.7 0 0
0.02104 1.83 0 824.7 0 0
0.02104 1.876 0 845.6 0 0
0.02105 1.921 0 866.4 0 0
0.02105 1.966 0 887 0 0
0.02106 2.01 0 907.4 0 0
0.02106 2.054 0 927.5 0 0
0.02107 2.097 0 947.5 0 0
0.02108 2.14 0 967.1 0 0
0.02108 2.182 0 986.5 0 0
0.02109 2.224 0 1006 0 0
0.02109 2.264 0 1024 0 0
0.0211 2.305 0 1043 0 0
0.02111 2.344 0 1061 0 0
0.02111 2.383 0 1079 0 0
0.02112 2.421 0 1096 0 0
0.02113 2.494 0 1130 0 0
0.02114 2.565 0 1162 0 0
0.02115 2.632 0 1193 0 0
0.02116 2.696 0 1222 0 0
0.02118 2.756 0 1249 0 0
0.02119 2.813 0 1275 0 0
0.0212 2.867 0 1300 0 0
0.02121 2.918 0 1323 0 0
0.02122 2.966 0 1345 0 0
0.02123 3.011 0 1365 0 0
0.02125 3.054 0 1385 0 0
0.02126 3.093 0 1403 0 0
0.02127 3.131 0 1420 0 0
0.02128 3.166 0 1436 0 0
0.02129 3.198 0 1451 0 0
0.0213 3.229 0 1465 0 0
0.02133 3.285 0 1491 0 0
0.02135 3.336 0 1514 0 0
0.02137 3.381 0 1535 0 0
0.0214 3.421 0 1554 0 0
0.02142 3.458 0 1571 0 0
0.02145 3.491 0 1586 0 0
0.02147 3.521 0 1600 0 0
0.02149 3.549 0 1613 0 0
0.02152 3.574 0 1625 0 0
0.02154 3.598 0 1636 0 0
0.02156 3.619 0 1647 0 0
0.02161 3.657 0 1665 0 0
0.02166 3.691 0 1681 0 0
0.0217 3.72 0 1694 0 0
0.02175 3.746 0 1707 0 0
0.0218 3.769 0 1718 0 0
0.02184 3.789 0 1728 0 0
0.02189 3.808 0 1736 0 0
0.02194 3.824 0 1744 0 0
0.02203 3.852 0 1758 0 0
0.02212 3.875 0 1769 0 0
0.02222 3.895 0 1778 0 0
0.02231 3.911 0 1786 0 0
0.02241 3.925 0 1793 0 0
0.0225 3.938 0 1799 0 0
0.02269 3.957 0 1809 0 0
0.02287 3.972 0 1816 0 0
0.02306 3.984 0 1822 0 0
0.02325 3.993 0 1827 0 0
0.02344 4.001 0 1830 0 0
0.02363 4.008 0 1834 0 0
0.024 4.017 0 1838 0 0
0.02438 4.024 0 1842 0 0
0.02475 4.03 0 1845 0 0
0.02513 4.034 0 1847 0 0
0.0255 4.037 0 1848 0 0
0.02625 4.042 0 1851 0 0
0.027 4.045 0 1852 0 0
0.0285 4.049 0 1854 0 0
0.03 4.051 0 1855 0 0
0.033 4.053 0 1856 0 0
0.036 4.054 0 1857 0 0
0.042 4.055 0 1857 0 0
0.048 4.055 0 1857 0 0
0.06 4.055 0 1857 0 0
-------------------------------------------------------------------------------
z H2 H O O2 OH
-------------------------------------------------------------------------------
0 0.009478 2.073e-17 -3.174e-16 0.1368 4.936e-16
0.006 0.009478 1.983e-21 -2.502e-16 0.1368 2.096e-18
0.012 0.009478 -3.158e-22 -1.972e-16 0.1368 -2.771e-19
0.015 0.009478 -2.821e-22 -1.724e-16 0.1368 -2.528e-19
0.0165 0.009478 -2.025e-22 -1.24e-16 0.1368 -1.813e-19
0.018 0.009478 1.809e-21 1.105e-15 0.1368 1.621e-18
0.01875 0.009478 2.642e-20 1.613e-14 0.1368 2.365e-17
0.01912 0.009478 1.797e-19 1.097e-13 0.1368 1.608e-16
0.0195 0.009475 1.485e-18 9.06e-13 0.1368 1.329e-15
0.01987 0.009466 1.266e-17 7.68e-12 0.1368 1.141e-14
0.02006 0.00945 5.244e-17 3.013e-11 0.1368 4.955e-14
0.02025 0.009409 3.058e-16 1.361e-10 0.1368 3.444e-13
0.02044 0.009302 3.217e-15 6.359e-10 0.1368 4.742e-12
0.02053 0.009184 2.519e-14 1.584e-09 0.1369 4.164e-11
0.02058 0.00909 9.603e-14 2.721e-09 0.1369 1.618e-10
0.02062 0.00896 3.559e-13 4.919e-09 0.1369 5.991e-10
0.02067 0.008779 1.348e-12 9.195e-09 0.137 2.21e-09
0.02072 0.00853 5.326e-12 1.768e-08 0.137 8.176e-09
0.02074 0.008371 1.231e-11 2.542e-08 0.137 1.746e-08
0.02077 0.008183 2.959e-11 3.752e-08 0.137 3.739e-08
0.02079 0.007964 7.789e-11 5.715e-08 0.137 8.155e-08
0.0208 0.00784 1.441e-10 7.232e-08 0.1369 1.259e-07
0.02081 0.007706 2.813e-10 9.3e-08 0.1369 1.966e-07
0.02082 0.007563 5.93e-10 1.218e-07 0.1368 3.118e-07
0.02084 0.007409 1.346e-09 1.628e-07 0.1366 5.037e-07
0.02084 0.007328 2.153e-09 1.906e-07 0.1366 6.516e-07
0.02085 0.007244 3.442e-09 2.248e-07 0.1365 8.479e-07
0.02085 0.007158 5.521e-09 2.671e-07 0.1364 1.11e-06
0.02086 0.007069 8.864e-09 3.198e-07 0.1362 1.461e-06
0.02087 0.006978 1.421e-08 3.859e-07 0.1361 1.934e-06
0.02087 0.006884 2.266e-08 4.694e-07 0.1359 2.572e-06
0.02088 0.006789 3.585e-08 5.754e-07 0.1357 3.432e-06
0.02088 0.00669 5.618e-08 7.105e-07 0.1355 4.589e-06
0.02089 0.00664 7.037e-08 7.928e-07 0.1354 5.319e-06
0.02089 0.00659 8.778e-08 8.862e-07 0.1353 6.165e-06
0.02089 0.006539 1.091e-07 9.922e-07 0.1351 7.143e-06
0.02089 0.006487 1.35e-07 1.113e-06 0.135 8.269e-06
0.0209 0.006435 1.664e-07 1.249e-06 0.1348 9.564e-06
0.0209 0.006382 2.042e-07 1.404e-06 0.1347 1.105e-05
0.0209 0.006329 2.498e-07 1.579e-06 0.1345 1.274e-05
0.02091 0.006276 3.042e-07 1.778e-06 0.1343 1.466e-05
0.02091 0.006222 3.69e-07 2.003e-06 0.1341 1.683e-05
0.02091 0.006168 4.457e-07 2.257e-06 0.1339 1.927e-05
0.02092 0.006114 5.361e-07 2.544e-06 0.1337 2.2e-05
0.02092 0.006059 6.421e-07 2.866e-06 0.1335 2.504e-05
0.02092 0.005949 9.049e-07 3.625e-06 0.1331 3.203e-05
0.02093 0.005838 1.255e-06 4.571e-06 0.1326 4.036e-05
0.02094 0.005727 1.713e-06 5.742e-06 0.132 5.005e-05
0.02094 0.005615 2.3e-06 7.178e-06 0.1315 6.102e-05
0.02095 0.005502 3.038e-06 8.926e-06 0.1309 7.313e-05
0.02095 0.005388 3.949e-06 1.104e-05 0.1302 8.617e-05
0.02096 0.005275 5.054e-06 1.358e-05 0.1295 9.985e-05
0.02096 0.005161 6.372e-06 1.661e-05 0.1288 0.0001139
0.02097 0.005046 7.92e-06 2.022e-05 0.1281 0.000128
0.02098 0.004932 9.711e-06 2.45e-05 0.1273 0.0001419
0.02098 0.004818 1.176e-05 2.957e-05 0.1265 0.0001554
0.02099 0.004704 1.406e-05 3.555e-05 0.1256 0.0001684
0.02099 0.00459 1.664e-05 4.26e-05 0.1248 0.0001807
0.021 0.004477 1.948e-05 5.088e-05 0.1239 0.0001925
0.02101 0.004363 2.259e-05 6.057e-05 0.1229 0.0002038
0.02101 0.004251 2.596e-05 7.187e-05 0.122 0.0002146
0.02102 0.004138 2.959e-05 8.498e-05 0.121 0.0002252
0.02102 0.004026 3.346e-05 0.0001001 0.12 0.0002359
0.02103 0.003915 3.758e-05 0.0001175 0.119 0.0002467
0.02104 0.003804 4.194e-05 0.0001373 0.1179 0.0002581
0.02104 0.003693 4.651e-05 0.0001596 0.1169 0.0002702
0.02105 0.003584 5.128e-05 0.0001848 0.1158 0.0002833
0.02105 0.003475 5.625e-05 0.0002129 0.1146 0.0002976
0.02106 0.003367 6.139e-05 0.000244 0.1135 0.0003135
0.02106 0.003259 6.668e-05 0.0002782 0.1123 0.0003311
0.02107 0.003153 7.211e-05 0.0003155 0.1111 0.0003506
0.02108 0.003048 7.765e-05 0.0003559 0.1099 0.0003723
0.02108 0.002943 8.328e-05 0.0003994 0.1087 0.0003962
0.02109 0.00284 8.897e-05 0.0004459 0.1074 0.0004225
0.02109 0.002738 9.47e-05 0.0004952 0.1062 0.0004513
0.0211 0.002638 0.0001004 0.0005472 0.1049 0.0004826
0.02111 0.002539 0.0001062 0.0006017 0.1036 0.0005165
0.02111 0.002442 0.0001119 0.0006585 0.1023 0.0005529
0.02112 0.002346 0.0001175 0.0007174 0.101 0.0005919
0.02113 0.002162 0.0001283 0.0008393 0.09842 0.0006763
0.02114 0.001986 0.0001386 0.0009658 0.09586 0.0007694
0.02115 0.00182 0.0001481 0.001094 0.09335 0.0008697
0.02116 0.001663 0.0001567 0.001223 0.09091 0.0009758
0.02118 0.001517 0.0001642 0.001348 0.08857 0.001086
0.02119 0.001381 0.0001706 0.00147 0.08634 0.001199
0.0212 0.001257 0.0001758 0.001584 0.08423 0.001312
0.02121 0.001143 0.0001798 0.001691 0.08226 0.001424
0.02122 0.00104 0.0001827 0.001789 0.08044 0.001535
0.02123 0.0009468 0.0001844 0.001877 0.07875 0.001642
0.02125 0.0008635 0.0001852 0.001956 0.07722 0.001744
0.02126 0.0007892 0.000185 0.002023 0.07582 0.001842
0.02127 0.0007232 0.000184 0.002081 0.07456 0.001935
0.02128 0.0006647 0.0001823 0.002129 0.07343 0.002021
0.02129 0.0006132 0.0001799 0.002168 0.07241 0.002102
0.0213 0.0005678 0.0001771 0.002197 0.07151 0.002176
0.02133 0.0004936 0.0001702 0.002231 0.07 0.002306
0.02135 0.0004361 0.0001622 0.002239 0.06881 0.002415
0.02137 0.0003915 0.0001538 0.002226 0.06786 0.002503
0.0214 0.0003564 0.0001452 0.002196 0.06712 0.002575
0.02142 0.0003286 0.0001367 0.002155 0.06652 0.002631
0.02145 0.0003061 0.0001285 0.002106 0.06605 0.002673
0.02147 0.0002876 0.0001207 0.002051 0.06566 0.002705
0.02149 0.0002721 0.0001133 0.001992 0.06535 0.002728
0.02152 0.0002588 0.0001064 0.001932 0.06509 0.002743
0.02154 0.0002471 9.994e-05 0.001872 0.06487 0.002751
0.02156 0.0002367 9.393e-05 0.001812 0.06469 0.002754
0.02161 0.000219 8.324e-05 0.001697 0.0644 0.002746
0.02166 0.0002038 7.401e-05 0.001588 0.06418 0.002726
0.0217 0.0001905 6.605e-05 0.001486 0.06401 0.002698
0.02175 0.0001784 5.915e-05 0.001392 0.06387 0.002663
0.0218 0.0001675 5.315e-05 0.001306 0.06375 0.002624
0.02184 0.0001575 4.791e-05 0.001226 0.06366 0.002583
0.02189 0.0001484 4.332e-05 0.001153 0.06358 0.002539
0.02194 0.0001399 3.929e-05 0.001086 0.06351 0.002494
0.02203 0.000125 3.264e-05 0.0009674 0.06341 0.002403
0.02212 0.0001122 2.735e-05 0.0008658 0.06334 0.002313
0.02222 0.000101 2.311e-05 0.0007782 0.06329 0.002225
0.02231 9.134e-05 1.966e-05 0.0007022 0.06326 0.00214
0.02241 8.287e-05 1.685e-05 0.0006362 0.06324 0.002058
0.0225 7.546e-05 1.453e-05 0.0005785 0.06322 0.00198
0.02269 6.338e-05 1.106e-05 0.0004852 0.06322 0.00184
0.02287 5.381e-05 8.583e-06 0.0004116 0.06322 0.001713
0.02306 4.613e-05 6.77e-06 0.0003527 0.06324 0.0016
0.02325 3.992e-05 5.422e-06 0.0003051 0.06326 0.001499
0.02344 3.484e-05 4.404e-06 0.0002663 0.06328 0.001409
0.02363 3.066e-05 3.625e-06 0.0002345 0.0633 0.001329
0.024 2.449e-05 2.579e-06 0.0001875 0.06334 0.001197
0.02438 2.001e-05 1.901e-06 0.0001534 0.06338 0.001089
0.02475 1.669e-05 1.446e-06 0.0001281 0.06341 0.0009992
0.02513 1.416e-05 1.13e-06 0.0001089 0.06344 0.0009244
0.0255 1.222e-05 9.057e-07 9.41e-05 0.06346 0.0008616
0.02625 9.619e-06 6.338e-07 7.432e-05 0.0635 0.0007686
0.027 7.878e-06 4.708e-07 6.106e-05 0.06353 0.0006985
0.0285 5.97e-06 3.12e-07 4.648e-05 0.06357 0.0006112
0.03 4.887e-06 2.321e-07 3.819e-05 0.0636 0.0005551
0.033 3.944e-06 1.693e-07 3.095e-05 0.06362 0.0005006
0.036 3.514e-06 1.429e-07 2.764e-05 0.06363 0.0004735
0.042 3.243e-06 1.27e-07 2.555e-05 0.06364 0.0004555
0.048 3.156e-06 1.22e-07 2.487e-05 0.06364 0.0004495
0.06 3.156e-06 1.22e-07 2.487e-05 0.06364 0.0004495
-------------------------------------------------------------------------------
z H2O HO2 H2O2 AR N2
-------------------------------------------------------------------------------
0 2.676e-18 -3.446e-16 -7.467e-17 0.8538 0
0.006 4.489e-16 1.025e-15 -7.151e-17 0.8538 0
0.012 3.975e-16 8.325e-16 -8.25e-17 0.8538 0
0.015 7.387e-16 7.557e-16 -9.017e-17 0.8538 0
0.0165 1.252e-14 8.012e-16 -6.373e-17 0.8538 0
0.018 5.211e-13 4.173e-15 1.468e-15 0.8538 0
0.01875 8.811e-12 6.015e-14 2.987e-14 0.8538 0
0.01912 7.845e-11 5.666e-13 2.992e-13 0.8538 0
0.0195 8.816e-10 7e-12 3.795e-12 0.8538 0
0.01987 1.014e-08 8.912e-11 4.916e-11 0.8538 0
0.02006 5.136e-08 4.937e-10 2.756e-10 0.8538 0
0.02025 3.095e-07 3.294e-09 1.857e-09 0.8538 0
0.02044 1.924e-06 2.267e-08 1.289e-08 0.8539 0
0.02053 5.905e-06 7.526e-08 4.305e-08 0.8539 0
0.02058 1.18e-05 1.597e-07 9.175e-08 0.854 0
0.02062 2.537e-05 3.681e-07 2.124e-07 0.8541 0
0.02067 5.646e-05 8.805e-07 5.098e-07 0.8542 0
0.02072 0.0001271 2.135e-06 1.233e-06 0.8543 0
0.02074 0.0001957 3.451e-06 1.974e-06 0.8544 0
0.02077 0.0003066 5.718e-06 3.219e-06 0.8545 0
0.02079 0.0004838 9.622e-06 5.271e-06 0.8546 0
0.0208 0.0006118 1.266e-05 6.775e-06 0.8546 0
0.02081 0.0007765 1.679e-05 8.726e-06 0.8546 0
0.02082 0.0009869 2.242e-05 1.122e-05 0.8546 0
0.02084 0.001254 3.005e-05 1.436e-05 0.8546 0
0.02084 0.001415 3.49e-05 1.621e-05 0.8546 0
0.02085 0.001596 4.057e-05 1.827e-05 0.8546 0
0.02085 0.0018 4.718e-05 2.054e-05 0.8546 0
0.02086 0.002029 5.484e-05 2.302e-05 0.8546 0
0.02087 0.002285 6.363e-05 2.571e-05 0.8546 0
0.02087 0.002571 7.365e-05 2.858e-05 0.8545 0
0.02088 0.002888 8.49e-05 3.16e-05 0.8545 0
0.02088 0.00324 9.735e-05 3.474e-05 0.8544 0
0.02089 0.003431 0.000104 3.634e-05 0.8544 0
0.02089 0.003631 0.000111 3.795e-05 0.8544 0
0.02089 0.003841 0.0001181 3.957e-05 0.8543 0
0.02089 0.004062 0.0001255 4.117e-05 0.8543 0
0.0209 0.004293 0.0001329 4.276e-05 0.8543 0
0.0209 0.004535 0.0001405 4.433e-05 0.8542 0
0.0209 0.004788 0.0001481 4.586e-05 0.8542 0
0.02091 0.005052 0.0001556 4.734e-05 0.8541 0
0.02091 0.005327 0.000163 4.877e-05 0.8541 0
0.02091 0.005614 0.0001703 5.014e-05 0.854 0
0.02092 0.005912 0.0001772 5.144e-05 0.854 0
0.02092 0.006222 0.0001839 5.266e-05 0.8539 0
0.02092 0.006872 0.0001958 5.482e-05 0.8538 0
0.02093 0.007566 0.0002058 5.661e-05 0.8537 0
0.02094 0.008304 0.0002135 5.8e-05 0.8536 0
0.02094 0.009086 0.0002187 5.899e-05 0.8535 0
0.02095 0.00991 0.0002214 5.957e-05 0.8534 0
0.02095 0.01077 0.0002219 5.975e-05 0.8532 0
0.02096 0.01168 0.0002203 5.956e-05 0.8531 0
0.02096 0.01262 0.0002169 5.9e-05 0.853 0
0.02097 0.01359 0.0002121 5.812e-05 0.8529 0
0.02098 0.0146 0.0002063 5.693e-05 0.8527 0
0.02098 0.01564 0.0001998 5.546e-05 0.8526 0
0.02099 0.0167 0.0001928 5.375e-05 0.8525 0
0.02099 0.0178 0.0001856 5.183e-05 0.8524 0
0.021 0.01892 0.0001782 4.974e-05 0.8522 0
0.02101 0.02006 0.000171 4.75e-05 0.8521 0
0.02101 0.02122 0.0001639 4.515e-05 0.852 0
0.02102 0.0224 0.000157 4.273e-05 0.8519 0
0.02102 0.02359 0.0001504 4.025e-05 0.8518 0
0.02103 0.02481 0.0001441 3.776e-05 0.8517 0
0.02104 0.02604 0.0001381 3.529e-05 0.8516 0
0.02104 0.02729 0.0001325 3.284e-05 0.8515 0
0.02105 0.02854 0.0001271 3.046e-05 0.8514 0
0.02105 0.02981 0.000122 2.815e-05 0.8514 0
0.02106 0.03109 0.0001172 2.593e-05 0.8513 0
0.02106 0.03238 0.0001126 2.382e-05 0.8512 0
0.02107 0.03367 0.0001083 2.183e-05 0.8512 0
0.02108 0.03497 0.0001043 1.997e-05 0.8511 0
0.02108 0.03627 0.0001004 1.824e-05 0.8511 0
0.02109 0.03758 9.679e-05 1.664e-05 0.8511 0
0.02109 0.03888 9.336e-05 1.518e-05 0.8511 0
0.0211 0.04018 9.011e-05 1.385e-05 0.8511 0
0.02111 0.04147 8.702e-05 1.264e-05 0.8511 0
0.02111 0.04276 8.409e-05 1.156e-05 0.8511 0
0.02112 0.04403 8.131e-05 1.059e-05 0.8511 0
0.02113 0.04652 7.617e-05 8.979e-06 0.8512 0
0.02114 0.04894 7.15e-05 7.716e-06 0.8513 0
0.02115 0.05127 6.725e-05 6.731e-06 0.8514 0
0.02116 0.0535 6.338e-05 5.959e-06 0.8515 0
0.02118 0.0556 5.985e-05 5.346e-06 0.8516 0
0.02119 0.05758 5.663e-05 4.846e-06 0.8518 0
0.0212 0.05942 5.369e-05 4.427e-06 0.852 0
0.02121 0.06113 5.099e-05 4.066e-06 0.8521 0
0.02122 0.06269 4.853e-05 3.749e-06 0.8523 0
0.02123 0.06412 4.628e-05 3.465e-06 0.8524 0
0.02125 0.06542 4.421e-05 3.211e-06 0.8526 0
0.02126 0.06659 4.232e-05 2.981e-06 0.8527 0
0.02127 0.06765 4.058e-05 2.774e-06 0.8528 0
0.02128 0.0686 3.898e-05 2.588e-06 0.8529 0
0.02129 0.06945 3.751e-05 2.419e-06 0.853 0
0.0213 0.07021 3.616e-05 2.267e-06 0.8531 0
0.02133 0.07148 3.376e-05 2.006e-06 0.8533 0
0.02135 0.0725 3.167e-05 1.789e-06 0.8534 0
0.02137 0.07333 2.984e-05 1.609e-06 0.8535 0
0.0214 0.074 2.823e-05 1.458e-06 0.8536 0
0.02142 0.07456 2.678e-05 1.33e-06 0.8536 0
0.02145 0.07504 2.548e-05 1.22e-06 0.8537 0
0.02147 0.07544 2.429e-05 1.127e-06 0.8537 0
0.02149 0.07579 2.321e-05 1.045e-06 0.8537 0
0.02152 0.07609 2.221e-05 9.746e-07 0.8538 0
0.02154 0.07636 2.129e-05 9.126e-07 0.8538 0
0.02156 0.07661 2.043e-05 8.581e-07 0.8538 0
0.02161 0.07703 1.89e-05 7.67e-07 0.8538 0
0.02166 0.0774 1.754e-05 6.936e-07 0.8538 0
0.0217 0.07772 1.634e-05 6.334e-07 0.8538 0
0.02175 0.078 1.526e-05 5.832e-07 0.8538 0
0.0218 0.07826 1.429e-05 5.408e-07 0.8538 0
0.02184 0.07849 1.34e-05 5.045e-07 0.8538 0
0.02189 0.0787 1.261e-05 4.731e-07 0.8538 0
0.02194 0.07889 1.188e-05 4.456e-07 0.8538 0
0.02203 0.07922 1.062e-05 4.004e-07 0.8538 0
0.02212 0.0795 9.544e-06 3.637e-07 0.8538 0
0.02222 0.07974 8.623e-06 3.334e-07 0.8538 0
0.02231 0.07995 7.827e-06 3.078e-07 0.8538 0
0.02241 0.08014 7.136e-06 2.858e-07 0.8538 0
0.0225 0.0803 6.534e-06 2.668e-07 0.8538 0
0.02269 0.08056 5.561e-06 2.361e-07 0.8538 0
0.02287 0.08076 4.789e-06 2.115e-07 0.8538 0
0.02306 0.08093 4.17e-06 1.912e-07 0.8538 0
0.02325 0.08107 3.668e-06 1.743e-07 0.8538 0
0.02344 0.08119 3.257e-06 1.6e-07 0.8538 0
0.02363 0.08129 2.918e-06 1.478e-07 0.8538 0
0.024 0.08144 2.42e-06 1.289e-07 0.8538 0
0.02438 0.08155 2.057e-06 1.143e-07 0.8538 0
0.02475 0.08164 1.789e-06 1.027e-07 0.8538 0
0.02513 0.08171 1.588e-06 9.343e-08 0.8538 0
0.0255 0.08176 1.434e-06 8.596e-08 0.8538 0
0.02625 0.08184 1.233e-06 7.546e-08 0.8538 0
0.027 0.0819 1.103e-06 6.804e-08 0.8538 0
0.0285 0.08196 9.681e-07 5.953e-08 0.8538 0
0.03 0.082 8.977e-07 5.458e-08 0.8538 0
0.033 0.08204 8.423e-07 5.024e-08 0.8538 0
0.036 0.08206 8.198e-07 4.829e-08 0.8538 0
0.042 0.08207 8.067e-07 4.708e-08 0.8538 0
0.048 0.08208 8.027e-07 4.669e-08 0.8538 0
0.06 0.08208 8.027e-07 4.669e-08 0.8538 0
-------------------------------------------------------------------------------
z
-------------------------------------------------------------------------------
0
0.006
0.012
0.015
0.0165
0.018
0.01875
0.01912
0.0195
0.01987
0.02006
0.02025
0.02044
0.02053
0.02058
0.02062
0.02067
0.02072
0.02074
0.02077
0.02079
0.0208
0.02081
0.02082
0.02084
0.02084
0.02085
0.02085
0.02086
0.02087
0.02087
0.02088
0.02088
0.02089
0.02089
0.02089
0.02089
0.0209
0.0209
0.0209
0.02091
0.02091
0.02091
0.02092
0.02092
0.02092
0.02093
0.02094
0.02094
0.02095
0.02095
0.02096
0.02096
0.02097
0.02098
0.02098
0.02099
0.02099
0.021
0.02101
0.02101
0.02102
0.02102
0.02103
0.02104
0.02104
0.02105
0.02105
0.02106
0.02106
0.02107
0.02108
0.02108
0.02109
0.02109
0.0211
0.02111
0.02111
0.02112
0.02113
0.02114
0.02115
0.02116
0.02118
0.02119
0.0212
0.02121
0.02122
0.02123
0.02125
0.02126
0.02127
0.02128
0.02129
0.0213
0.02133
0.02135
0.02137
0.0214
0.02142
0.02145
0.02147
0.02149
0.02152
0.02154
0.02156
0.02161
0.02166
0.0217
0.02175
0.0218
0.02184
0.02189
0.02194
0.02203
0.02212
0.02222
0.02231
0.02241
0.0225
0.02269
0.02287
0.02306
0.02325
0.02344
0.02363
0.024
0.02438
0.02475
0.02513
0.0255
0.02625
0.027
0.0285
0.03
0.033
0.036
0.042
0.048
0.06
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> products <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
-------------------------------------------------------------------------------
z
-------------------------------------------------------------------------------
0
mixture-averaged flamespeed = 0.711305 m/s
..............................................................................
Attempt Newton solution of steady-state problem... success.
Problem solved on [140] point grid(s).
..............................................................................
no new points needed in flame
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> reactants <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
Mass Flux: 0.973 kg/m^2/s
Temperature: 300 K
Mass Fractions:
H2 0.009478
O2 0.1368
AR 0.8538
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> flame <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
Pressure: 1.013e+05 Pa
-------------------------------------------------------------------------------
z velocity spread_rate T lambda eField
-------------------------------------------------------------------------------
0 0.7269 0 300 0 0
0.006 0.7269 0 300 0 0
0.012 0.7269 0 300 0 0
0.015 0.7269 0 300 0 0
0.0165 0.7269 0 300 0 0
0.018 0.7269 0 300 0 0
0.01875 0.7269 0 300 0 0
0.01912 0.7269 0 300 0 0
0.0195 0.7269 0 300 0 0
0.01987 0.7268 0 300 0 0
0.02006 0.7267 0 300 0 0
0.02025 0.7263 0 300 0 0
0.02044 0.7256 0 300.1 0 0
0.02053 0.725 0 300.4 0 0
0.02058 0.7248 0 300.7 0 0
0.02062 0.7249 0 301.2 0 0
0.02067 0.7259 0 302.4 0 0
0.02072 0.729 0 304.8 0 0
0.02074 0.7323 0 306.9 0 0
0.02077 0.7378 0 310 0 0
0.02079 0.7466 0 314.7 0 0
0.0208 0.7529 0 317.9 0 0
0.02081 0.761 0 322 0 0
0.02082 0.7712 0 327 0 0
0.02084 0.7842 0 333.2 0 0
0.02084 0.7919 0 336.8 0 0
0.02085 0.8005 0 340.9 0 0
0.02085 0.8103 0 345.5 0 0
0.02086 0.8211 0 350.5 0 0
0.02087 0.8332 0 356.2 0 0
0.02087 0.8468 0 362.4 0 0
0.02088 0.8617 0 369.3 0 0
0.02088 0.8783 0 376.9 0 0
0.02089 0.8873 0 381 0 0
0.02089 0.8967 0 385.2 0 0
0.02089 0.9065 0 389.7 0 0
0.02089 0.9169 0 394.4 0 0
0.0209 0.9277 0 399.3 0 0
0.0209 0.939 0 404.5 0 0
0.0209 0.9508 0 409.8 0 0
0.02091 0.9632 0 415.4 0 0
0.02091 0.9761 0 421.3 0 0
0.02091 0.9895 0 427.3 0 0
0.02092 1.003 0 433.6 0 0
0.02092 1.018 0 440.2 0 0
0.02092 1.049 0 454 0 0
0.02093 1.081 0 468.7 0 0
0.02094 1.116 0 484.2 0 0
0.02094 1.152 0 500.7 0 0
0.02095 1.191 0 517.9 0 0
0.02095 1.231 0 535.9 0 0
0.02096 1.272 0 554.6 0 0
0.02096 1.315 0 573.9 0 0
0.02097 1.359 0 593.7 0 0
0.02098 1.404 0 614 0 0
0.02098 1.45 0 634.6 0 0
0.02099 1.496 0 655.6 0 0
0.02099 1.544 0 676.8 0 0
0.021 1.591 0 698.2 0 0
0.02101 1.639 0 719.7 0 0
0.02101 1.687 0 741.3 0 0
0.02102 1.734 0 762.8 0 0
0.02102 1.782 0 784.4 0 0
0.02103 1.83 0 805.9 0 0
0.02104 1.877 0 827.3 0 0
0.02104 1.924 0 848.6 0 0
0.02105 1.971 0 869.6 0 0
0.02105 2.017 0 890.5 0 0
0.02106 2.063 0 911.2 0 0
0.02106 2.109 0 931.7 0 0
0.02107 2.153 0 951.8 0 0
0.02108 2.198 0 971.7 0 0
0.02108 2.241 0 991.3 0 0
0.02109 2.284 0 1011 0 0
0.02109 2.326 0 1030 0 0
0.0211 2.367 0 1048 0 0
0.02111 2.408 0 1066 0 0
0.02111 2.448 0 1084 0 0
0.02112 2.487 0 1102 0 0
0.02113 2.562 0 1136 0 0
0.02114 2.634 0 1168 0 0
0.02115 2.703 0 1199 0 0
0.02116 2.768 0 1228 0 0
0.02118 2.83 0 1255 0 0
0.02119 2.888 0 1281 0 0
0.0212 2.943 0 1306 0 0
0.02121 2.995 0 1329 0 0
0.02122 3.044 0 1350 0 0
0.02123 3.089 0 1371 0 0
0.02125 3.132 0 1390 0 0
0.02126 3.172 0 1408 0 0
0.02127 3.21 0 1425 0 0
0.02128 3.245 0 1440 0 0
0.02129 3.279 0 1455 0 0
0.0213 3.31 0 1469 0 0
0.02133 3.367 0 1495 0 0
0.02135 3.417 0 1518 0 0
0.02137 3.463 0 1538 0 0
0.0214 3.503 0 1557 0 0
0.02142 3.54 0 1574 0 0
0.02145 3.574 0 1589 0 0
0.02147 3.605 0 1603 0 0
0.02149 3.633 0 1616 0 0
0.02152 3.658 0 1628 0 0
0.02154 3.682 0 1639 0 0
0.02156 3.704 0 1649 0 0
0.02161 3.743 0 1667 0 0
0.02166 3.776 0 1682 0 0
0.0217 3.806 0 1696 0 0
0.02175 3.832 0 1708 0 0
0.0218 3.856 0 1719 0 0
0.02184 3.876 0 1729 0 0
0.02189 3.895 0 1738 0 0
0.02194 3.912 0 1746 0 0
0.02203 3.94 0 1759 0 0
0.02212 3.964 0 1770 0 0
0.02222 3.984 0 1780 0 0
0.02231 4.001 0 1788 0 0
0.02241 4.015 0 1795 0 0
0.0225 4.028 0 1801 0 0
0.02269 4.047 0 1810 0 0
0.02287 4.063 0 1818 0 0
0.02306 4.075 0 1823 0 0
0.02325 4.085 0 1828 0 0
0.02344 4.093 0 1832 0 0
0.02363 4.1 0 1835 0 0
0.024 4.11 0 1840 0 0
0.02438 4.117 0 1844 0 0
0.02475 4.123 0 1847 0 0
0.02513 4.127 0 1849 0 0
0.0255 4.131 0 1850 0 0
0.02625 4.136 0 1853 0 0
0.027 4.139 0 1854 0 0
0.0285 4.143 0 1856 0 0
0.03 4.145 0 1857 0 0
0.033 4.148 0 1859 0 0
0.036 4.149 0 1859 0 0
0.042 4.15 0 1859 0 0
0.048 4.15 0 1860 0 0
0.06 4.15 0 1860 0 0
-------------------------------------------------------------------------------
z H2 H O O2 OH
-------------------------------------------------------------------------------
0 0.009478 4.441e-18 -4.484e-18 0.1368 1.569e-17
0.006 0.009478 1.406e-22 -3.392e-18 0.1368 -2.044e-20
0.012 0.009478 4.007e-23 1.743e-19 0.1368 1.454e-20
0.015 0.009478 -1.506e-22 -2.705e-18 0.1368 -5.739e-20
0.0165 0.009478 3.538e-22 3.123e-17 0.1368 1.549e-19
0.018 0.009478 1.464e-21 9.859e-16 0.1368 1.393e-18
0.01875 0.009478 2.006e-20 1.301e-14 0.1368 1.863e-17
0.01912 0.009478 1.477e-19 8.944e-14 0.1368 1.315e-16
0.0195 0.009476 1.235e-18 7.522e-13 0.1368 1.104e-15
0.01987 0.009469 1.07e-17 6.496e-12 0.1368 9.641e-15
0.02006 0.009456 4.495e-17 2.588e-11 0.1368 4.233e-14
0.02025 0.009423 2.642e-16 1.19e-10 0.1368 2.951e-13
0.02044 0.009333 2.786e-15 5.66e-10 0.1368 4.079e-12
0.02053 0.009232 2.213e-14 1.428e-09 0.1368 3.65e-11
0.02058 0.00915 8.538e-14 2.476e-09 0.1368 1.439e-10
0.02062 0.009034 3.195e-13 4.522e-09 0.1368 5.405e-10
0.02067 0.00887 1.217e-12 8.546e-09 0.1368 2.022e-09
0.02072 0.008642 4.812e-12 1.661e-08 0.1368 7.587e-09
0.02074 0.008493 1.105e-11 2.395e-08 0.1368 1.63e-08
0.02077 0.008316 2.627e-11 3.547e-08 0.1368 3.51e-08
0.02079 0.008107 6.78e-11 5.416e-08 0.1368 7.691e-08
0.0208 0.007988 1.229e-10 6.85e-08 0.1367 1.187e-07
0.02081 0.007859 2.355e-10 8.804e-08 0.1367 1.853e-07
0.02082 0.007719 4.89e-10 1.152e-07 0.1366 2.938e-07
0.02084 0.007568 1.104e-09 1.539e-07 0.1365 4.747e-07
0.02084 0.007489 1.768e-09 1.801e-07 0.1364 6.136e-07
0.02085 0.007406 2.841e-09 2.122e-07 0.1363 7.981e-07
0.02085 0.007321 4.595e-09 2.52e-07 0.1362 1.045e-06
0.02086 0.007233 7.459e-09 3.017e-07 0.1361 1.377e-06
0.02087 0.007142 1.211e-08 3.642e-07 0.136 1.825e-06
0.02087 0.007048 1.96e-08 4.433e-07 0.1358 2.433e-06
0.02088 0.006952 3.151e-08 5.441e-07 0.1356 3.257e-06
0.02088 0.006853 5.017e-08 6.733e-07 0.1354 4.375e-06
0.02089 0.006803 6.332e-08 7.519e-07 0.1353 5.082e-06
0.02089 0.006752 7.957e-08 8.413e-07 0.1352 5.904e-06
0.02089 0.0067 9.96e-08 9.431e-07 0.1351 6.857e-06
0.02089 0.006648 1.242e-07 1.059e-06 0.135 7.961e-06
0.0209 0.006596 1.542e-07 1.191e-06 0.1348 9.235e-06
0.0209 0.006542 1.906e-07 1.341e-06 0.1347 1.07e-05
0.0209 0.006489 2.347e-07 1.511e-06 0.1345 1.238e-05
0.02091 0.006435 2.878e-07 1.705e-06 0.1344 1.429e-05
0.02091 0.00638 3.513e-07 1.925e-06 0.1342 1.647e-05
0.02091 0.006325 4.271e-07 2.174e-06 0.134 1.892e-05
0.02092 0.00627 5.168e-07 2.456e-06 0.1338 2.168e-05
0.02092 0.006214 6.226e-07 2.775e-06 0.1336 2.476e-05
0.02092 0.006102 8.888e-07 3.532e-06 0.1332 3.195e-05
0.02093 0.005988 1.247e-06 4.482e-06 0.1327 4.056e-05
0.02094 0.005873 1.72e-06 5.665e-06 0.1322 5.064e-05
0.02094 0.005757 2.329e-06 7.123e-06 0.1316 6.209e-05
0.02095 0.00564 3.101e-06 8.905e-06 0.131 7.476e-05
0.02095 0.005523 4.059e-06 1.107e-05 0.1304 8.84e-05
0.02096 0.005405 5.226e-06 1.367e-05 0.1297 0.0001027
0.02096 0.005287 6.623e-06 1.679e-05 0.129 0.0001173
0.02097 0.005168 8.267e-06 2.052e-05 0.1283 0.000132
0.02098 0.00505 1.017e-05 2.495e-05 0.1275 0.0001463
0.02098 0.004931 1.235e-05 3.021e-05 0.1267 0.0001602
0.02099 0.004813 1.481e-05 3.643e-05 0.1259 0.0001734
0.02099 0.004694 1.755e-05 4.378e-05 0.125 0.0001859
0.021 0.004576 2.057e-05 5.244e-05 0.1241 0.0001977
0.02101 0.004458 2.387e-05 6.259e-05 0.1232 0.000209
0.02101 0.004341 2.745e-05 7.445e-05 0.1223 0.0002198
0.02102 0.004224 3.13e-05 8.824e-05 0.1213 0.0002304
0.02102 0.004108 3.542e-05 0.0001042 0.1203 0.000241
0.02103 0.003992 3.978e-05 0.0001225 0.1192 0.0002519
0.02104 0.003876 4.438e-05 0.0001433 0.1182 0.0002634
0.02104 0.003762 4.921e-05 0.000167 0.1171 0.0002757
0.02105 0.003648 5.425e-05 0.0001935 0.116 0.0002892
0.02105 0.003535 5.948e-05 0.0002231 0.1148 0.000304
0.02106 0.003423 6.489e-05 0.0002559 0.1137 0.0003205
0.02106 0.003311 7.045e-05 0.000292 0.1125 0.0003388
0.02107 0.003201 7.615e-05 0.0003312 0.1113 0.0003592
0.02108 0.003092 8.195e-05 0.0003738 0.11 0.0003819
0.02108 0.002984 8.784e-05 0.0004195 0.1088 0.000407
0.02109 0.002877 9.379e-05 0.0004683 0.1075 0.0004346
0.02109 0.002772 9.976e-05 0.00052 0.1062 0.0004648
0.0211 0.002668 0.0001057 0.0005744 0.1049 0.0004977
0.02111 0.002566 0.0001117 0.0006313 0.1036 0.0005332
0.02111 0.002466 0.0001176 0.0006905 0.1023 0.0005713
0.02112 0.002367 0.0001234 0.0007517 0.101 0.0006119
0.02113 0.002177 0.0001347 0.0008792 0.09833 0.0007006
0.02114 0.001996 0.0001453 0.001011 0.09571 0.0007978
0.02115 0.001824 0.000155 0.001144 0.09315 0.0009022
0.02116 0.001664 0.0001638 0.001276 0.09066 0.001012
0.02118 0.001515 0.0001714 0.001406 0.08827 0.001126
0.02119 0.001377 0.0001777 0.001529 0.08601 0.001241
0.0212 0.001251 0.0001829 0.001646 0.08388 0.001357
0.02121 0.001136 0.0001868 0.001754 0.0819 0.001471
0.02122 0.001033 0.0001894 0.001853 0.08006 0.001583
0.02123 0.0009399 0.000191 0.001941 0.07838 0.00169
0.02125 0.0008569 0.0001915 0.002019 0.07684 0.001794
0.02126 0.0007831 0.0001911 0.002086 0.07545 0.001891
0.02127 0.0007177 0.0001898 0.002143 0.0742 0.001983
0.02128 0.0006601 0.0001878 0.002189 0.07308 0.00207
0.02129 0.0006093 0.0001852 0.002226 0.07207 0.002149
0.0213 0.0005647 0.0001821 0.002254 0.07118 0.002223
0.02133 0.0004918 0.0001747 0.002285 0.0697 0.002351
0.02135 0.0004356 0.0001664 0.002289 0.06853 0.002458
0.02137 0.000392 0.0001576 0.002272 0.06761 0.002545
0.0214 0.0003578 0.0001487 0.002239 0.06688 0.002614
0.02142 0.0003306 0.0001399 0.002195 0.0663 0.002668
0.02145 0.0003087 0.0001315 0.002143 0.06583 0.00271
0.02147 0.0002905 0.0001235 0.002086 0.06546 0.002741
0.02149 0.0002753 0.000116 0.002026 0.06515 0.002762
0.02152 0.0002621 0.0001089 0.001965 0.0649 0.002776
0.02154 0.0002506 0.0001023 0.001903 0.06468 0.002784
0.02156 0.0002403 9.622e-05 0.001843 0.0645 0.002786
0.02161 0.0002227 8.53e-05 0.001725 0.06422 0.002777
0.02166 0.0002074 7.59e-05 0.001614 0.06401 0.002757
0.0217 0.000194 6.778e-05 0.001512 0.06383 0.002728
0.02175 0.0001819 6.074e-05 0.001417 0.06369 0.002693
0.0218 0.0001709 5.462e-05 0.001329 0.06358 0.002654
0.02184 0.0001608 4.928e-05 0.001249 0.06348 0.002612
0.02189 0.0001515 4.46e-05 0.001175 0.0634 0.002569
0.02194 0.000143 4.047e-05 0.001107 0.06334 0.002524
0.02203 0.0001279 3.366e-05 0.0009868 0.06324 0.002433
0.02212 0.0001148 2.824e-05 0.0008838 0.06317 0.002342
0.02222 0.0001035 2.389e-05 0.0007949 0.06312 0.002254
0.02231 9.365e-05 2.035e-05 0.0007179 0.06309 0.002168
0.02241 8.503e-05 1.746e-05 0.0006508 0.06306 0.002086
0.0225 7.748e-05 1.507e-05 0.0005922 0.06305 0.002008
0.02269 6.516e-05 1.15e-05 0.0004973 0.06304 0.001867
0.02287 5.538e-05 8.933e-06 0.0004223 0.06305 0.00174
0.02306 4.754e-05 7.057e-06 0.0003622 0.06306 0.001626
0.02325 4.117e-05 5.659e-06 0.0003136 0.06308 0.001524
0.02344 3.596e-05 4.602e-06 0.000274 0.0631 0.001433
0.02363 3.168e-05 3.792e-06 0.0002413 0.06312 0.001352
0.024 2.533e-05 2.702e-06 0.0001932 0.06316 0.001219
0.02438 2.072e-05 1.994e-06 0.0001582 0.0632 0.001109
0.02475 1.728e-05 1.517e-06 0.0001322 0.06324 0.001018
0.02513 1.467e-05 1.187e-06 0.0001124 0.06326 0.0009421
0.0255 1.266e-05 9.516e-07 9.717e-05 0.06329 0.0008783
0.02625 9.971e-06 6.659e-07 7.674e-05 0.06333 0.0007835
0.027 8.164e-06 4.944e-07 6.302e-05 0.06336 0.0007119
0.0285 6.18e-06 3.269e-07 4.791e-05 0.0634 0.0006227
0.03 5.05e-06 2.426e-07 3.93e-05 0.06342 0.0005651
0.033 4.063e-06 1.761e-07 3.175e-05 0.06345 0.0005088
0.036 3.61e-06 1.481e-07 2.829e-05 0.06346 0.0004807
0.042 3.323e-06 1.311e-07 2.608e-05 0.06347 0.0004618
0.048 3.23e-06 1.258e-07 2.536e-05 0.06347 0.0004555
0.06 3.23e-06 1.258e-07 2.536e-05 0.06347 0.0004555
-------------------------------------------------------------------------------
z H2O HO2 H2O2 AR N2
-------------------------------------------------------------------------------
0 4.203e-19 -2.106e-16 2.901e-17 0.8538 3.187e-19
0.006 1.255e-17 -1.617e-16 8.516e-17 0.8538 -8.349e-19
0.012 2.032e-17 -2.269e-16 1.368e-16 0.8538 2.242e-18
0.015 2.312e-16 -3.248e-16 1.524e-16 0.8538 -3.182e-18
0.0165 7.481e-15 -2.32e-16 1.899e-16 0.8538 2.433e-18
0.018 3.262e-13 2.112e-15 1.22e-15 0.8538 -8.641e-19
0.01875 5.628e-12 4.184e-14 2.053e-14 0.8538 -1.214e-17
0.01912 5.107e-11 4.082e-13 2.074e-13 0.8538 -6.214e-18
0.0195 5.854e-10 5.147e-12 2.681e-12 0.8538 -5.417e-19
0.01987 6.87e-09 6.68e-11 3.542e-11 0.8538 -4.35e-17
0.02006 3.537e-08 3.763e-10 2.02e-10 0.8538 -7.444e-18
0.02025 2.172e-07 2.559e-09 1.388e-09 0.8538 -1.016e-17
0.02044 1.376e-06 1.795e-08 9.821e-09 0.8539 -1.411e-16
0.02053 4.29e-06 6.055e-08 3.334e-08 0.854 -1.446e-16
0.02058 8.677e-06 1.3e-07 7.195e-08 0.854 -3.031e-16
0.02062 1.893e-05 3.041e-07 1.692e-07 0.8541 -6.917e-16
0.02067 4.281e-05 7.393e-07 4.131e-07 0.8543 1.425e-16
0.02072 9.817e-05 1.825e-06 1.02e-06 0.8544 -1.896e-15
0.02074 0.0001529 2.978e-06 1.653e-06 0.8545 -4.751e-17
0.02077 0.0002428 4.993e-06 2.737e-06 0.8546 2.239e-16
0.02079 0.0003893 8.517e-06 4.564e-06 0.8547 2.004e-15
0.0208 0.0004964 1.128e-05 5.924e-06 0.8548 1.539e-16
0.02081 0.0006359 1.508e-05 7.712e-06 0.8548 -5.688e-16
0.02082 0.0008164 2.031e-05 1.004e-05 0.8549 -2.611e-15
0.02084 0.001049 2.748e-05 1.301e-05 0.8549 7.221e-15
0.02084 0.001189 3.206e-05 1.478e-05 0.8549 -1.489e-15
0.02085 0.001349 3.746e-05 1.677e-05 0.8549 5.032e-15
0.02085 0.00153 4.38e-05 1.898e-05 0.8549 4.823e-15
0.02086 0.001735 5.121e-05 2.142e-05 0.8549 -1.465e-15
0.02087 0.001965 5.98e-05 2.408e-05 0.8548 -2.321e-15
0.02087 0.002224 6.966e-05 2.695e-05 0.8548 5.545e-16
0.02088 0.002514 8.086e-05 3.001e-05 0.8548 2.269e-15
0.02088 0.002837 9.338e-05 3.322e-05 0.8547 -3.049e-15
0.02089 0.003012 0.0001001 3.486e-05 0.8547 1.232e-15
0.02089 0.003197 0.0001071 3.652e-05 0.8547 2.12e-15
0.02089 0.003392 0.0001144 3.818e-05 0.8547 1.614e-16
0.02089 0.003596 0.0001219 3.985e-05 0.8546 -7.11e-15
0.0209 0.003811 0.0001296 4.151e-05 0.8546 -3.159e-15
0.0209 0.004037 0.0001374 4.314e-05 0.8546 1.696e-15
0.0209 0.004274 0.0001452 4.475e-05 0.8545 1.253e-15
0.02091 0.004522 0.0001531 4.631e-05 0.8545 1.249e-15
0.02091 0.004781 0.0001608 4.783e-05 0.8544 1.421e-15
0.02091 0.005052 0.0001684 4.928e-05 0.8544 3.365e-15
0.02092 0.005334 0.0001757 5.066e-05 0.8543 1.605e-15
0.02092 0.005628 0.0001826 5.196e-05 0.8543 2.229e-16
0.02092 0.006252 0.0001954 5.431e-05 0.8542 8.663e-16
0.02093 0.006921 0.000206 5.627e-05 0.8541 1.459e-15
0.02094 0.007637 0.0002142 5.782e-05 0.854 9.856e-16
0.02094 0.008398 0.0002197 5.894e-05 0.8539 1.538e-15
0.02095 0.009203 0.0002226 5.963e-05 0.8537 7.085e-16
0.02095 0.01005 0.000223 5.99e-05 0.8536 1.219e-15
0.02096 0.01094 0.0002212 5.977e-05 0.8535 7.017e-16
0.02096 0.01187 0.0002176 5.925e-05 0.8534 1.281e-15
0.02097 0.01283 0.0002125 5.837e-05 0.8533 1.356e-15
0.02098 0.01383 0.0002063 5.717e-05 0.8531 1.393e-15
0.02098 0.01486 0.0001994 5.568e-05 0.853 7.47e-16
0.02099 0.01592 0.0001921 5.393e-05 0.8529 1.085e-15
0.02099 0.01701 0.0001846 5.196e-05 0.8528 1.16e-15
0.021 0.01812 0.000177 4.98e-05 0.8527 1.635e-15
0.02101 0.01926 0.0001695 4.75e-05 0.8526 1.176e-15
0.02101 0.02042 0.0001622 4.508e-05 0.8524 9.621e-16
0.02102 0.0216 0.0001553 4.258e-05 0.8523 8.887e-16
0.02102 0.0228 0.0001486 4.004e-05 0.8522 8.024e-16
0.02103 0.02402 0.0001422 3.749e-05 0.8521 1.764e-15
0.02104 0.02526 0.0001362 3.495e-05 0.8521 1.803e-15
0.02104 0.02651 0.0001304 3.245e-05 0.852 1.852e-15
0.02105 0.02778 0.0001251 3.002e-05 0.8519 3.234e-16
0.02105 0.02906 0.00012 2.768e-05 0.8518 6.307e-16
0.02106 0.03035 0.0001152 2.544e-05 0.8518 -3.269e-16
0.02106 0.03165 0.0001107 2.331e-05 0.8517 1.176e-15
0.02107 0.03296 0.0001064 2.132e-05 0.8517 1.318e-15
0.02108 0.03428 0.0001024 1.945e-05 0.8516 3.356e-16
0.02108 0.0356 9.866e-05 1.773e-05 0.8516 8.538e-16
0.02109 0.03692 9.509e-05 1.614e-05 0.8516 1.922e-16
0.02109 0.03824 9.171e-05 1.47e-05 0.8516 1.644e-15
0.0211 0.03956 8.852e-05 1.339e-05 0.8516 1.038e-15
0.02111 0.04088 8.549e-05 1.221e-05 0.8516 9.957e-16
0.02111 0.04219 8.262e-05 1.115e-05 0.8516 4.958e-16
0.02112 0.04348 7.99e-05 1.022e-05 0.8516 1.496e-15
0.02113 0.04604 7.486e-05 8.662e-06 0.8517 9.683e-16
0.02114 0.04852 7.03e-05 7.454e-06 0.8517 1.058e-15
0.02115 0.05091 6.614e-05 6.518e-06 0.8518 8.645e-16
0.02116 0.05319 6.236e-05 5.789e-06 0.852 1.668e-15
0.02118 0.05534 5.892e-05 5.21e-06 0.8521 1.567e-16
0.02119 0.05736 5.577e-05 4.736e-06 0.8522 1.1e-15
0.0212 0.05924 5.29e-05 4.336e-06 0.8524 9.938e-16
0.02121 0.06098 5.027e-05 3.99e-06 0.8525 5.313e-16
0.02122 0.06257 4.786e-05 3.683e-06 0.8527 1.449e-15
0.02123 0.06402 4.567e-05 3.408e-06 0.8528 9.505e-16
0.02125 0.06534 4.365e-05 3.16e-06 0.8529 9.533e-16
0.02126 0.06652 4.181e-05 2.937e-06 0.853 1.168e-15
0.02127 0.06759 4.011e-05 2.735e-06 0.8531 1.009e-15
0.02128 0.06855 3.856e-05 2.552e-06 0.8532 2.359e-15
0.02129 0.0694 3.712e-05 2.388e-06 0.8533 1.594e-15
0.0213 0.07016 3.58e-05 2.239e-06 0.8534 1.209e-15
0.02133 0.07144 3.346e-05 1.984e-06 0.8535 1.375e-15
0.02135 0.07247 3.142e-05 1.772e-06 0.8536 1.238e-15
0.02137 0.0733 2.964e-05 1.595e-06 0.8537 1.336e-15
0.0214 0.07398 2.806e-05 1.447e-06 0.8538 1.664e-15
0.02142 0.07454 2.664e-05 1.321e-06 0.8538 1.714e-15
0.02145 0.07502 2.536e-05 1.214e-06 0.8538 1.736e-15
0.02147 0.07542 2.42e-05 1.121e-06 0.8539 1.514e-15
0.02149 0.07577 2.314e-05 1.041e-06 0.8539 1.657e-15
0.02152 0.07608 2.215e-05 9.714e-07 0.8539 1.292e-15
0.02154 0.07636 2.125e-05 9.102e-07 0.8539 8.874e-16
0.02156 0.07661 2.041e-05 8.563e-07 0.8539 9.873e-16
0.02161 0.07704 1.889e-05 7.663e-07 0.8539 1.276e-15
0.02166 0.07741 1.756e-05 6.936e-07 0.8539 8.914e-16
0.0217 0.07774 1.637e-05 6.339e-07 0.8539 1.014e-15
0.02175 0.07803 1.53e-05 5.841e-07 0.8539 1.218e-15
0.0218 0.07829 1.433e-05 5.42e-07 0.8539 1.139e-15
0.02184 0.07852 1.346e-05 5.059e-07 0.8539 1.13e-15
0.02189 0.07874 1.267e-05 4.747e-07 0.8539 1.226e-15
0.02194 0.07893 1.195e-05 4.473e-07 0.8539 1.348e-15
0.02203 0.07927 1.069e-05 4.022e-07 0.8539 1.26e-15
0.02212 0.07956 9.62e-06 3.656e-07 0.8539 1.335e-15
0.02222 0.0798 8.7e-06 3.353e-07 0.8539 1.244e-15
0.02231 0.08002 7.905e-06 3.097e-07 0.8539 1.353e-15
0.02241 0.08021 7.214e-06 2.878e-07 0.8539 1.22e-15
0.0225 0.08037 6.61e-06 2.688e-07 0.8539 1.312e-15
0.02269 0.08064 5.633e-06 2.381e-07 0.8539 1.096e-15
0.02287 0.08085 4.856e-06 2.134e-07 0.8539 1.235e-15
0.02306 0.08103 4.233e-06 1.931e-07 0.8539 1.168e-15
0.02325 0.08117 3.726e-06 1.761e-07 0.8539 1.228e-15
0.02344 0.08129 3.311e-06 1.617e-07 0.8539 1.127e-15
0.02363 0.08139 2.968e-06 1.495e-07 0.8539 1.199e-15
0.024 0.08154 2.463e-06 1.305e-07 0.8539 1.259e-15
0.02438 0.08166 2.095e-06 1.157e-07 0.8538 1.12e-15
0.02475 0.08175 1.822e-06 1.04e-07 0.8538 1.238e-15
0.02513 0.08182 1.617e-06 9.467e-08 0.8538 1.208e-15
0.0255 0.08187 1.46e-06 8.712e-08 0.8538 1.223e-15
0.02625 0.08196 1.254e-06 7.648e-08 0.8538 1.148e-15
0.027 0.08201 1.121e-06 6.895e-08 0.8538 1.172e-15
0.0285 0.08208 9.818e-07 6.029e-08 0.8538 1.17e-15
0.03 0.08212 9.09e-07 5.522e-08 0.8538 1.17e-15
0.033 0.08216 8.516e-07 5.078e-08 0.8538 1.182e-15
0.036 0.08218 8.282e-07 4.877e-08 0.8538 1.177e-15
0.042 0.0822 8.145e-07 4.751e-08 0.8538 1.179e-15
0.048 0.0822 8.103e-07 4.711e-08 0.8538 1.176e-15
0.06 0.0822 8.103e-07 4.711e-08 0.8538 1.176e-15
-------------------------------------------------------------------------------
z
-------------------------------------------------------------------------------
0
0.006
0.012
0.015
0.0165
0.018
0.01875
0.01912
0.0195
0.01987
0.02006
0.02025
0.02044
0.02053
0.02058
0.02062
0.02067
0.02072
0.02074
0.02077
0.02079
0.0208
0.02081
0.02082
0.02084
0.02084
0.02085
0.02085
0.02086
0.02087
0.02087
0.02088
0.02088
0.02089
0.02089
0.02089
0.02089
0.0209
0.0209
0.0209
0.02091
0.02091
0.02091
0.02092
0.02092
0.02092
0.02093
0.02094
0.02094
0.02095
0.02095
0.02096
0.02096
0.02097
0.02098
0.02098
0.02099
0.02099
0.021
0.02101
0.02101
0.02102
0.02102
0.02103
0.02104
0.02104
0.02105
0.02105
0.02106
0.02106
0.02107
0.02108
0.02108
0.02109
0.02109
0.0211
0.02111
0.02111
0.02112
0.02113
0.02114
0.02115
0.02116
0.02118
0.02119
0.0212
0.02121
0.02122
0.02123
0.02125
0.02126
0.02127
0.02128
0.02129
0.0213
0.02133
0.02135
0.02137
0.0214
0.02142
0.02145
0.02147
0.02149
0.02152
0.02154
0.02156
0.02161
0.02166
0.0217
0.02175
0.0218
0.02184
0.02189
0.02194
0.02203
0.02212
0.02222
0.02231
0.02241
0.0225
0.02269
0.02287
0.02306
0.02325
0.02344
0.02363
0.024
0.02438
0.02475
0.02513
0.0255
0.02625
0.027
0.0285
0.03
0.033
0.036
0.042
0.048
0.06
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> products <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
-------------------------------------------------------------------------------
z
-------------------------------------------------------------------------------
0
multicomponent flamespeed = 0.726901 m/s
from pathlib import Path
import cantera as ct
# Simulation parameters
p = ct.one_atm # pressure [Pa]
Tin = 300.0 # unburned gas temperature [K]
reactants = 'H2:1.1, O2:1, AR:5' # premixed gas composition
width = 0.03 # m
loglevel = 1 # amount of diagnostic output (0 to 8)
# Solution object used to compute mixture properties, set to the state of the
# upstream fuel-air mixture
gas = ct.Solution('h2o2.yaml')
gas.TPX = Tin, p, reactants
# Set up flame object
f = ct.FreeFlame(gas, width=width)
f.set_refine_criteria(ratio=3, slope=0.06, curve=0.12)
f.show()
# Solve with mixture-averaged transport model
f.transport_model = 'mixture-averaged'
f.solve(loglevel=loglevel, auto=True)
if "native" in ct.hdf_support():
output = Path() / "adiabatic_flame.h5"
else:
output = Path() / "adiabatic_flame.yaml"
output.unlink(missing_ok=True)
# Solve with the energy equation enabled
f.save(output, name="mix", description="solution with mixture-averaged transport")
f.show()
print(f"mixture-averaged flamespeed = {f.velocity[0]:7f} m/s")
# Solve with multi-component transport properties
f.transport_model = 'multicomponent'
f.solve(loglevel) # don't use 'auto' on subsequent solves
f.show()
print(f"multicomponent flamespeed = {f.velocity[0]:7f} m/s")
f.save(output, name="multi", description="solution with multicomponent transport")
# write the velocity, temperature, density, and mole fractions to a CSV file
f.save('adiabatic_flame.csv', basis="mole", overwrite=True)
Total running time of the script: (0 minutes 0.234 seconds)