湍流场协同模型构建及减阻应用

Turbulent field synergy model building and applications in drag reduction

在稳态、无体积力流动场协同模型的基础上,将场协同原理与湍流流动有效结合,引入Favre平均和RANS,根据Navier-Stokes方程建立了不可压湍流场协同模型。基于最小机械能耗散原理,在约束条件下推导使黏性耗散函数满足极小值的数值解,将不可压缩湍流模型与流动减阻相关联,构建了湍流场协同减阻模型。以后台阶流动验证模型的有效性,结果显示:改变结构后,黏性耗散值从0.633 0 W减小到0.245 0 W,优化了61.3%。

Based on the steady-state and non-volume field synergy model,combining field synergy principle and turbulent flow,using the Favre average and RANS,simplifying the basic fluid flow Navier-Stokes equation,incompressible turbulent field synergy model is established.Meanwhile,by means of minimum mechanical dissipation principle,the numerical solution is derived,when the viscous dissipation achieves the minimum value.Associated with the incompressible turbulent flow model and drag reduction,the turbulent drag reduction model is constructed.Back step flow simulation is illustrated the effectiveness of themodel.Results show that by changing local structure,viscous dissipation values decrease from 0.633 0 Wto 0.245 0 W.The optimization achieves 61.3%.