A k ε PDF (probability density function) model based on a statistical theory for turbulent gas particle flows is proposed, and a numerical procedure combining the finite difference and finite fluctuating velocity...A k ε PDF (probability density function) model based on a statistical theory for turbulent gas particle flows is proposed, and a numerical procedure combining the finite difference and finite fluctuating velocity group methods is used. The obtained statistically averaged equations have the same form as that of the equations obtained by the Reynolds averaging. Using the k ε PDF model (PDF particle turbulence model combined with k ε gas turbulence model), many terms, such as the diffusion term in particle Reynolds stress equations, can be exactly calculated for verifying the second order moment model. The k ε PDF model is used to simulate gas particle flows behind a backward facing step. Comparison of the predictions using both k ε PDF and the k ε k p models with experimental results shows that the k ε PDF model gives more reasonable nonisotropic features of particle turbulence.展开更多
文摘A k ε PDF (probability density function) model based on a statistical theory for turbulent gas particle flows is proposed, and a numerical procedure combining the finite difference and finite fluctuating velocity group methods is used. The obtained statistically averaged equations have the same form as that of the equations obtained by the Reynolds averaging. Using the k ε PDF model (PDF particle turbulence model combined with k ε gas turbulence model), many terms, such as the diffusion term in particle Reynolds stress equations, can be exactly calculated for verifying the second order moment model. The k ε PDF model is used to simulate gas particle flows behind a backward facing step. Comparison of the predictions using both k ε PDF and the k ε k p models with experimental results shows that the k ε PDF model gives more reasonable nonisotropic features of particle turbulence.