Spreadsheet: 0f9972c4-f758-4ac5-94d2-b660e54b7a05
Sheet: StoredResults

 |  |  |  | Results of Sample Calculations
 |  |  |  |  |  |  |  |  |  | Please read
 | Figure 1.  Relationship between the AFT and % excess oxidant for article example. |  |  |  |  |  |  |  |  |  |  |  |  | Figure 2.  Relationship between the theoretical AFT and % excess oxidant for different fuels.
 | As noted in article text, AFT = 1608°C with 40% excess oxygen.  Air enters at 38°C and methane at 20°C. |  |  |  |  |  |  |  |  |  |  |  |  | Oxidant and fuel enter at 25°C.
 | Excel's Trendline tool can be used to give a quadratic equation fit to the results.  For x, use %/100. |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | Summary of Results--Methane
 |  |  |  |  |  |  |  |  |  |  |  |  |  | % XS oxidant | 0 | 0.1 | 0.2 | 0.4 | 0.6 | 0.8 | 1
 |  |  |  | Summary of Results--Methane Text Example |  |  |  |  |  |  |  |  |  | AFT, °C | 2053.032010919907 | 1916.331803664854 | 1797.065935241092 | 1599.128473137964 | 1441.646930067606 | 1313.449071057544 | 1207.107488865748
 |  | % XS oxidant | 0 | 0.1 | 0.2 | 0.4 | 0.6 | 0.8 | 1
 |  | AFT, °C | 2060.714407155591 | 1924.292815953603 | 1805.27068255451 | 1607.73875852888 | 1450.580471369718 | 1322.645935176363 | 1216.522774829883 |  |  |  |  |  |  |  | Summary of Results--Ethane
 |  |  |  |  |  |  |  |  |  |  |  |  |  | % XS oxidant | 0 | 0.1 | 0.2 | 0.4 | 0.6 | 0.8 | 1
 |  |  |  |  |  |  |  |  |  |  |  |  |  | AFT, °C | 2105.868399151998 | 1963.934908108462 | 1840.332573714121 | 1635.651512939137 | 1473.190910922245 | 1341.180150130025 | 1231.832253897375
 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | Summary of Results--Propane
 |  |  |  |  |  |  |  |  |  |  |  |  |  | % XS oxidant | 0 | 0.1 | 0.2 | 0.4 | 0.6 | 0.8 | 1
 |  |  |  |  |  |  |  |  |  |  |  |  |  | AFT, °C | 2118.934692681607 | 1975.374825869377 | 1850.459437336721 | 1643.807681582116 | 1479.956156035669 | 1346.922868800723 | 1236.798107759975
 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | Summary of Results--Graphite
 |  |  |  |  |  |  |  |  |  |  |  |  |  | % XS oxidant | 0 | 0.1 | 0.2 | 0.4 | 0.6 | 0.8 | 1
 |  |  |  |  |  |  |  |  |  |  |  |  |  | AFT, °C | 2184.639784421375 | 2024.183534811189 | 1886.48831967309 | 1662.376448258711 | 1487.725600046773 | 1347.766276245122 | 1233.083598966089
 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | Summary of Results--Hydrogen
 |  |  |  |  |  |  |  |  |  |  |  |  |  | % XS oxidant | 0 | 0.1 | 0.2 | 0.4 | 0.6 | 0.8 | 1
 |  |  |  |  |  |  |  |  |  |  |  |  |  | AFT, °C | 2247.394342551173 | 2112.013758972445 | 1992.051630839426 | 1789.143038960285 | 1624.304205353447 | 1487.900938224594 | 1373.255364744381
 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | Summary of Results--Carbon Monoxide
 |  |  |  |  |  |  |  |  |  |  |  |  |  | % XS oxidant | 0 | 0.1 | 0.2 | 0.4 | 0.6 | 0.8 | 1
 |  |  |  |  |  |  |  |  |  |  |  |  |  | AFT, °C | 2384.01980561696 | 2248.076137008612 | 2127.318625848536 | 1922.176545225162 | 1754.438997159452 | 1614.708399446837 | 1496.4974895451
 |  | Figure 3.  Comparison between theoretical (solid lines) and equilibrium (dashed lines) AFT for combustion of CH4 and C(graphite).
 |  | Notice the increasing deviation between the two versions above about 1650°C.
 |  | The difference is caused by increasing thermal disproportion of H2O and CO2 at elevated temperatures (see data below).
 |  |  |  |  |  | Summary of Results--Methane
 |  | % XS oxidant | 0 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9
 |  | AFT, °C | 1954.104614257812 | 1872.396850585938 | 1772.091674804688 | 1676.016235351562 | 1588.064575195312 | 1508.303833007812 | 1435.995483398438 | 1370.333862304688 | 1310.446166992188 | 1255.728149414062
 |  | CO | 0.009105822258862325 | 0.002652331171183628 | 0.0008669287865366228 | 0.0003048361075089622 | 0.0001129057207036968 | 4.351476653219466e-05 | 1.732039028042339e-05 | 7.089474213061377e-06 | 2.971445108916578e-06 | 1.273934412466543e-06
 |  | CO2 | 0.08522755727795206 | 0.08425200971348681 | 0.07949969698556163 | 0.07438874515656656 | 0.06963866229741189 | 0.06537262418527384 | 0.06156777676573706 | 0.05816941552304633 | 0.05512173262013981 | 0.05237545761797985
 |  | N | 1.436266750726293e-08 | 5.379769558309478e-09 | 1.442769226665757e-09 | 3.601234506985951e-10 | 8.916574875434661e-11 | 2.232458021139553e-11 | 5.691218765551652e-12 | 1.482854442624911e-12 | 3.947067086947657e-13 | 1.076103717349165e-13
 |  | N2 | 0.7087673481238359 | 0.7176302836957429 | 0.7238789481155438 | 0.7289756917838309 | 0.7333093979744771 | 0.7370606553848367 | 0.7403427108689186 | 0.7432375828176682 | 0.7458090941342796 | 0.748107510603146
 |  | N2O | 9.428876231663115e-08 | 1.525085505156675e-07 | 1.621668491713693e-07 | 1.502767470078856e-07 | 1.31243747572787e-07 | 1.112855206229904e-07 | 9.285776541594633e-08 | 7.680025751286556e-08 | 6.319998993530499e-08 | 5.189670596272483e-08
 |  | NO | 0.001986249474945936 | 0.003186726437885318 | 0.003360860852341239 | 0.003084642166026572 | 0.002667030992540147 | 0.002236990122023292 | 0.001845046163588846 | 0.001507476137952058 | 0.001224821060675829 | 0.0009926020520173498
 |  | O | 0.0002149465077838771 | 0.0002439810838431541 | 0.0001627457425597613 | 9.23221886693819e-05 | 4.924502179784965e-05 | 2.560136601754475e-05 | 1.317847920220615e-05 | 6.774422596777179e-06 | 3.490273245655206e-06 | 1.809175440805474e-06
 |  | O2 | 0.00456035438546642 | 0.01681575201692989 | 0.03048793418451967 | 0.04310287792758591 | 0.05429618352063151 | 0.06416102937731617 | 0.07287539850579701 | 0.08061235256403762 | 0.08752110611611587 | 0.09372492179564751
 |  | H2 | 0.003679484408459876 | 0.001065324722851964 | 0.0003681656543384672 | 0.0001391851928909205 | 5.572742609465546e-05 | 2.326403528871888e-05 | 1.003790233734843e-05 | 4.454850015518005e-06 | 2.024643974028388e-06 | 9.41005897397388e-07
 |  | H2O | 0.1835164205479137 | 0.1713332810493675 | 0.1593556158700851 | 0.1485844063514622 | 0.1390241017883717 | 0.1305418183096915 | 0.122991874341833 | 0.1162423328811453 | 0.1101800707989568 | 0.1047096126420654
 |  | OH | 0.002941708363350018 | 0.002820152220388749 | 0.002018940198895544 | 0.001327142488588251 | 0.0008466139250582037 | 0.0005343911451748171 | 0.0003365637188488315 | 0.0002124445275847162 | 0.0001346257071189478 | 8.58192765796479e-05
 |  |  |  |  |  | Summary of Results--Graphite
 |  | % XS oxidant | 0 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9
 |  | AFT, °C | 2026.873779296875 | 1952.044677734375 | 1852.069091796875 | 1748.309326171875 | 1650.653076171875 | 1561.785888671875 | 1481.768798828125 | 1409.625244140625 | 1344.378662109375 | 1285.113525390625
 |  | CO | 0.02233914572135961 | 0.008894952795370711 | 0.003263496776275035 | 0.001162893970666186 | 0.0004197440472038759 | 0.0001558096155552769 | 5.971103251041509e-05 | 2.356252495554217e-05 | 9.550810046840215e-06 | 3.966355732794235e-06
 |  | CO2 | 0.185261452908373 | 0.1811178306063492 | 0.1714209435665899 | 0.1602647683412269 | 0.1495392391255857 | 0.1398274335324327 | 0.1311823289254222 | 0.1235012634762024 | 0.1166539159645152 | 0.1105197735422018
 |  | N | 3.423914883122567e-08 | 1.474780364137754e-08 | 4.352591943353426e-09 | 1.079467116569632e-09 | 2.534214663005386e-10 | 5.931901753484964e-11 | 1.415783075628924e-11 | 3.463974084503248e-12 | 8.707485839595045e-13 | 2.248528277182708e-13
 |  | N2 | 0.779262123243187 | 0.7840753984868697 | 0.7863264368135149 | 0.7874320789797695 | 0.7880651713237428 | 0.788491459625226 | 0.7888074984312959 | 0.7890525385701849 | 0.7892455690928968 | 0.7893984457513982
 |  | N2O | 1.717727504602266e-07 | 2.228003960529557e-07 | 2.270362563943891e-07 | 2.057382021333674e-07 | 1.760334943844352e-07 | 1.462712948309998e-07 | 1.19811195511403e-07 | 9.741920158266231e-08 | 7.89495219276448e-08 | 6.391461420593896e-08
 |  | NO | 0.00345397579543719 | 0.004462182677987609 | 0.004529157192630465 | 0.004083285836149482 | 0.00346885399705121 | 0.002859272394674478 | 0.002320537841236905 | 0.001867672752439129 | 0.001496967368799548 | 0.001197756948571456
 |  | O | 0.0004728905114267959 | 0.0004553311817923151 | 0.0003031952341366096 | 0.0001691381146283071 | 8.733186102956104e-05 | 4.372374388381353e-05 | 2.170706753501209e-05 | 1.078206190822626e-05 | 5.384522872569637e-06 | 2.70986130936141e-06
 |  | O2 | 0.009210205808317008 | 0.02099406670343087 | 0.0341565390280047 | 0.0468876279398904 | 0.05841948335847093 | 0.06862215475761384 | 0.07760809687664623 | 0.08554408319164432 | 0.09258853329047644 | 0.0988772836259473