旋转湍流中雷诺应力模型压力应变关联项的修正研究

利用张量的不变量理论,推导得出传统雷诺应力模型中压力应变关联项模型应用于旋转湍流模拟中的一些基本问题,即在纯旋转条件下,传统模型所描述的初始各向异性的湍流中雷诺应力张量演化规律是一个无衰减振荡过程,而快速畸变理论推导结果显示,其演化应是一个阻尼振荡衰减的过程。以衰减雷诺应力为目的,构造出包含旋转率张量高阶量的关联项。然后,结合变形率张量的高阶项,将修正模型扩展至椭圆形流线类型流动。最后,将修正模型应用于轴向旋转圆管内湍流流场的模拟,并将结果与实测结果进行了对比。

Pressure strain correlation term of Reynolds stress model for rotating turbulence

Using tensor invariant theory,some basic issues of pressure strain correlation term are discussed when used for rotating turbulence simulation.Under rotation,the evolution of Reynolds stress tensor in initial anisotropic turbulence described by conventional model is an undamped oscillation process.But the analysis results of rapid distortion theory shows the evolution should be a damped osci-llation process.Aiming at damping Reynolds stress,high order rate-of-rotation tensor related term is built.Then with the combination of the high order strain rate tensor,application of correction model is expanded to elliptic flow.Ultimately,correction model is applied to the flow field simulation in axially rotating pipe,and the results are compared with measured results.