Sensitivity Coefficient Formulas

Sensitivity Coefficient Formulas

Sensitivity coefficient with respect to rate coefficients

In flame calculations:

where F is a target value.
is computed by the Chemkin code.

For non-flame calculations we use two-side finite-difference formula:

 


Sensitivity coefficient with respect to heats of formation

In flame calculations:

where  is computed by the Chemkin code.

For non-flame calculations:

The following temperatures were used in the calculations of sensitivity coefficient with respect to heats of formation:

  • For shock tube and reactor experiments – initial temperature
  • For low pressure flame experiments (N chemistry) – temperature at the peak of the CH or CN concentration
  • For flame speeds – 1000 K

For all calculations  = 1000 cal.

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