When considering a spherical outwardly expanding flame, the previous equation can be simplified to the following expression:equation(3)K=2rfdrfdt
The unstretched laminar flame velocity Vs0 MLN9708 obtained from the non-linear model. To determine the fundamental unstretched laminar burning velocity SL0, the effect of the expansion factor (ρb/ρu) has to be considered:equation(4)SL0=ρbρuVs0where ρb and ρu are the densities of the burned and the unburned gases respectively. These densities were calculated using the EQUIL code  from CHEMKIN package.
1.2. Kinetic Modeling
Original and modified rate constants (A, bronchitis n, and E in k = ATnexp(−E/(1.9872T)) in K, cal, mol, cm3, s−1).ReactionOriginal rate constantRef.Modified rate constantRef.HNO + O2 = HO2 + NO2.0E + 130.016000.02.2E + 100.09140.0CH3 + OH = CH2OH + H4.4E + 13−0.3485−727.08.9E + 18−1.88067.0HCO + NO = HNO + CO6.9E + 120.00.01.0E + 081.47−1760.0Full-size tableTable optionsView in workspaceDownload as CSV