论文标题
湍流强度缩放到$re_τ\ gg 10^5 $的外推
Extrapolation of Turbulence Intensity Scaling to $Re_τ \gg 10^5$
论文作者
论文摘要
我们已经表征了摩擦雷诺数字的湍流强度（Ti）缩放的过渡，$re_τ\ sim 10^4 $在同伴论文中[Basse，n.t。管流中波动和平均流速度的全局性能的缩放：高雷诺数过渡区域的表征，流体物理学，体积33，065127（2021）]和[Basse，N.T。管道流动速度波动速度的整体性质的缩放：粘性期限的影响，流体物理学的影响，第33、125109卷（2021）]。在这里，我们以这些结果为基础，以推断出$re_τ\ gg 10^5 $的Ti缩放，假设不存在进一步的过渡。核心，区域平均和全球峰值TI的缩放表明，它们都与$re_τ$的对数成反比，但具有不同的乘数。最后，我们确认Ti平方与$re_τ\ gg 10^5 $成正比的预测与摩擦因子成正比。
We have characterized a transition of turbulence intensity (TI) scaling for friction Reynolds numbers $Re_τ \sim 10^4$ in the companion papers [Basse, N.T. Scaling of global properties of fluctuating and mean streamwise velocities in pipe flow: Characterization of a high Reynolds number transition region, Physics of Fluids, Volume 33, 065127 (2021)] and [Basse, N.T. Scaling of global properties of fluctuating streamwise velocities in pipe flow: Impact of the viscous term, Physics of Fluids, Volume 33, 125109 (2021)]. Here, we build on those results to extrapolate TI scaling for $Re_τ \gg 10^5$, under the assumption that no further transitions exist. Scaling of the core, area-averaged and global peak TI demonstrates that they all scale inversely with the logarithm of $Re_τ$, but with different multipliers. Finally, we confirm the prediction that the TI squared is proportional to the friction factor for $Re_τ \gg 10^5$.
