论文标题
分叉和平面轴向流动的多个状态随跨度旋转
Bifurcation and multiple states in plane Couette flow with spanwise rotation
论文作者
论文摘要
我们提出了一个衍生物，该派生从Navier-Stokes方程开头，并以与在跨度旋转平面COUETTE COUETTE流动中观察到的统计稳定状态相同的预测。该派生能够解释在完全发达的湍流中多个状态的存在，并且通过不同尺寸的计算域和不同的初始条件在一个状态下选择一个状态。根据目前的推导，在无限大的平面旋转流动流中，只有两个和两个统计上的稳定状态可以旋转，并且在非常缓慢或非常快速的旋转速度下无法进行多个状态。我们还显示了附近统计稳定状态附近的极限周期的存在。
We present a derivation that begins with the Navier--Stokes equation and ends with a prediction of multiple statistically stable states identical to those observed in a spanwise rotating plane Couette flow. This derivation is able to explain the presence of multiple states in fully developed turbulence and the selection of one state over the other by differently sized computational domains and different initial conditions. According to the present derivation, two and only two statistically stable states are possible in an infinitely large plane Couette flow with spanwise rotation, and that multiple states are not possible at very slow or very rapid rotation speeds. We also show the existence of limit cycles near statistically stable states.
