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Table 2 Sensitivity coefficients for ethane pyrolysis.

From: Dynamic sensitivity analysis of biological systems

Species x i ∂ ln [x i ]/∂ k1 at 1 s ∂ ln [x i ]/∂k1 at 20 s
  IDM R/DM our algorithm IDM R/DM our algorithm
CH 3 1.000 1.000 0.99986 1.000 1.000 1.00000
CH 4 0.976 0.976 0.97625 0.644 0.644 0.64350
C 2 H 4 0.680 0.680 0.68039 0.324 0.323 0.32348
C 2 H 5 0.662 0.662 0.66149 -0.209 -0.210 -0.20950
C 2 H 6 -0.044 -0.044 -0.04425 -0.819 -0.819 -0.81896
H 0.478 0.478 0.47783 0.091 0.091 0.09053
H 2 0.602 0.602 0.60214 0.221 0.221 0.22098
  1. A tolerance of 10-8 is used for R/DM. A fourth-order adaptive Rosenbrock algorithm is used for integration and ± 5% variations of k1 are used in the computation of the sensitivities w.r.t. k1 using indirect method.