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16.2.3 Premixed Combustion Model Formulation in FLUENT

FLUENT will solve the transport equation for the reaction progress variable $c$ (Equation  16.2-1), computing the source term, $\rho S_c$, based on the theory outlined above:

$\displaystyle \rho S_c$ $\textstyle =$ $\displaystyle A G \rho_u I^{3/4} [U_{l}(\lambda_{\rm lp})]^{1/2} [\alpha(\lambda_{\rm lp})]^{-1/4} \ell_t^{1/4} \vert\nabla c\vert$ (16.2-19)
  $\textstyle =$ $\displaystyle A G \rho_u I \left[ \frac{\tau_t}{\tau_c(\lambda_{\rm lp})} \right]^{1/4} \vert\nabla c\vert$ (16.2-20)

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