Based on the laminar flamelet concept and the presumed beta-PDF(probability density function)

a turbulent premixed combustion model was studied.In this model

the laminar flamelet calculation was performed with one dimensional free propagation flame code

PREMIX.The results of the laminar flamelet calculation can be formulated as functions of progress variable and then integrated with the presumed beta-PDF

which produced a lookup table.This model was validated with the calculation of the turbulent Bunsen flame for stoichiometric methane.The results were compared with the results of Zimont model and the experiment

which show that the calculation here can appropriately predict the distribution of average velocity.However

the turbulent kinetic energy and temperature are not so well captured and the mean reaction rate is likely overpredicted

which lead to a shorter flame brush.This is likely because of the exclusion of turbulent stretch effect on the flame surface.A model which can account for the effect of turbulent stretch will be explored in future studies.