Magnussen model

Magnussen model is a popular method for computing reaction rates as a function of both mean concentrations and turbulence levels. Originally developed for combustion, it can also be used for liquid reactions by tuning some of its parameters. The model consists of rates calculated by two primary means. An Arrhenius, or kinetic rate, $R_{K\_i',k}$, for species $i'$ in reaction $k$, is governed by the local mean species concentrations and temperature in the following way:

$R_{K\_i',k}=-\nu _{i',k}M_{i}A_{k}T^{\beta _{k}}\exp {\left(-{\frac {E_{k}}{RT}}\right)}\prod _{j'=1}^{N}\left[C_{j'}\right]^{\eta _{j',k}}=K_{i',k}M_{i'}\prod _{j'=1}^{N}\left[C_{j'}\right]^{\eta _{j',k}}$