HF chemical laser amplification properties in homologous turbulent shear flow

Chung's turbulent kinetic theory is used to analyze HF chemical laser amplification properties in a homologous turbulent shear flow, and the bimodal method is used to construct the probability density function (pdf) of the fluid element in velocity space. Hyperbolic equations are employed as the evolved governing moment equations, and the method of charateristics is used to solve these equations. Some combinations of chemical species and thermal energy are transported along characteristic lines. The variation of those species concentrations and thermal energy are dependent on the dissipation rate of turbulence, the chemical reaction rate, and the radiation rate. Under a fast pumping reaction rate, the mean gain of lasing, the mean species concentration, and the temperature distribution can be determined by using the pdf of species integrated over the velocity space. The variation in lasing gain and other laser properties is found to be strongly dependent on the relaxation of the turbulence field.