Combustion plays a vital role in many applications and a proper understanding of its effect on the system can be very helpful in designing the newer technologies and improving the existing ones.
While the turbulent flow induces changes concentration and temperature pulsations which enhance the mixing and heat transfer and affect the reaction rate.
This enhances the total surface area of the flame and thus increases the combustible mixed gases burnt per unit time.
This model is based on a single step global infinitely fast stoichiometric chemical reaction.
It can be mathematically calculated as: It is used to express the turbulent dissipation rate of fuel (Rfu), oxygen (Rox) and products (Rpr) following the proposal from Magnussen and Hjertager as: Where k is the turbulent kinetic energy, ε is the rate of dissipation of k, CR and C'R are model constants (value varies from 0.35 to 4).
Several other researchers also justified the beauty of this model for fairly good predictions which are quite close to experimental results.
Hence, this model is a topic of top priority due to its simplicity, steady convergence, and implementation in computational fluid dynamics (CFD) procedures.