By treating eddy viscosity and eddy diffusivity as optimal control parameters, a new method is developed to determine the eddy viscosity, eddy diffusivity and turbulent Prandtl number from first principles without app...By treating eddy viscosity and eddy diffusivity as optimal control parameters, a new method is developed to determine the eddy viscosity, eddy diffusivity and turbulent Prandtl number from first principles without appealing to adjustable empirical constants. The resultant turbulent Prandtl number is compatible with experimental data. This method enables us to estimate the error of Boussinesq’s eddy viscosity (and diffusivity) model and compare various methods of determining eddy transport coefficients.展开更多
The method of determining eddy transport coefficients of turbulence is utilized to study how the turbulent Prandtl number Prturb depends upon the molecular Prandtl number Pr and turbulence conditions.A comparison betw...The method of determining eddy transport coefficients of turbulence is utilized to study how the turbulent Prandtl number Prturb depends upon the molecular Prandtl number Pr and turbulence conditions.A comparison between the theoretical prediction and the relevant experimental data is made.展开更多
基金Project supported by the National Basic Research Program "Non-linear Science" the National Natural Science Foundation of China
文摘By treating eddy viscosity and eddy diffusivity as optimal control parameters, a new method is developed to determine the eddy viscosity, eddy diffusivity and turbulent Prandtl number from first principles without appealing to adjustable empirical constants. The resultant turbulent Prandtl number is compatible with experimental data. This method enables us to estimate the error of Boussinesq’s eddy viscosity (and diffusivity) model and compare various methods of determining eddy transport coefficients.
文摘The method of determining eddy transport coefficients of turbulence is utilized to study how the turbulent Prandtl number Prturb depends upon the molecular Prandtl number Pr and turbulence conditions.A comparison between the theoretical prediction and the relevant experimental data is made.
