### 7.12.4. Mueller Correlation

The correlation by Mueller et al. follows an approach similar to the Peters correlation. It accounts for variation of the average laminar burning velocity due to turbulent fluctuations of mixture fraction and accounts for extinction under high scalar dissipation rates. However, the Mueller correlation uses a different correlation for turbulence dependency:

, ,

Where is the laminar burning velocity at stoichiometric mixture fraction (equivalence ratio ). The laminar burning velocity is integrated over a presumed PDF accounting for fluctuations of mixture fraction.

| (7–69)

The presumed PDF for mixture fraction is described in Coupling of Laminar Flamelet with the Turbulent Flow Field. Table 7.6: Default Model Coefficients for Mueller Turbulent Burning Velocity Correlation lists the default values for the model coefficients.

Table 7.6: Default Model Coefficients for Mueller Turbulent Burning Velocity Correlation

Coefficient | Default Value
--- | ---
| 1.5
| 0.8
| 1.0 [1/s]
| 1.0

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