**6. Equation of state**

$$P = \rho\_{\text{g}} R \, T / \overline{W} \, \tag{53}$$

#### **6.1 Combustion model**

Chemical mechanism for oxidation of Decane or other hydrocarbon fuels is considered. ώ<sup>i</sup> chemical production rate:

$$\dot{o}\_{i} = \sum\_{i=1}^{NR} (v\_{k,i}'' - v\_{k,i}')R\_{i} \tag{54}$$

*v*00 *<sup>k</sup>*,*<sup>i</sup>* and *v*<sup>0</sup> *<sup>k</sup>*,*<sup>i</sup>* are stoichiometric coefficients. The Arrhenius model calculates reaction rates. For other equations, the reaction rate is very quickly relative to the main equations; equilibrium reactions are considered. In order to calculate the effects of turbulence on combustion, Spalding's eddy-breakup model is considered. The idea of the eddy-breakup model is that the combustion rate is computed by the rate at which large parcels of unburned gas are broken down into smaller particles. The turbulence length scale is significant in determining turbulent burning rates [8–10, 12–14].
