“…The standard k ε − model is a semi-empirical model based on model transport equations for the turbulence kinetic energy (k) and its dissipation rate ( ε ). The model transport equation for k is derived from the exact equation, while the model transport equation for ε was obtained using physical reasoning and bears little resemblance to its mathematically exact counterpart [30][31][32][33][34]. The Reynolds stress tensor for the gas phase is ,, The turbulence kinetic energy, k, and its rate of dissipation, ε , are obtained from the following transport equations (modified k ε − model):…”