Exponential acceleration rates and induction periods

In eqn. (50) the coefficient, i is very small compared with i, 2, 3 or 4 [M], and can therefore be neglected in the sums containing it. There are then three possible solutions as follows. 

To a first approximation this condition marks the boundary between mild and strong ignitions. Here the coefficient of 0 in eqn. (50a) is zero (n lecting the term in 1 1 [H2 ]). Neglecting the terms in 0 and 0 also 

This is the same equation as deduced by Kondratiev [109] and others [78,81] starting from reactions (i)—(iv) alone. At sufficiently low densities or h h temperatures, 3 and 2 2 4[M], and eqn. (53) becomes 

Above 1000 K the measured 0 are of the same order as [x] when [x] constitutes about 0.1 % of the overall molar density. For [Hj ] [O2 ] we then have from (53) and (53a) 

With such very hydrogen-rich mixtures the partial stationary state treatment becomes valid for [OH] and [O], and eqn. (54) is identical with eqn. (29) if surface termination of H and O atoms are omitted from the latter by putting Pi = 0. Equation (54a) is the basis of the ignition delay correlation t, [O2] = constant at constant temperature used by Schott and Kinsey [102]. 

---