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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.