论文标题
关于壁挂式湍流的皮肤摩擦
On skin friction in wall-bounded turbulence
论文作者
论文摘要
在本文中，我们根据雷诺平均流向动量方程和总应力来得出壁结合的湍流中皮肤摩擦系数的数学公式。特别是，由于总应力的理论或经验关系，皮肤摩擦系数以平均速度和雷诺在任意壁正常区域$ [H_0，H_1] $中的剪切应力表示。使用湍流通道和边界层流的直接数值模拟数据验证公式，结果表明，我们的公式估计皮肤摩擦系数非常准确，误差小于$ 2 \％$。我们认为，目前的积分公式可用于确定在高雷诺数上的湍流通道和边界层流动中的皮肤摩擦，而近壁统计数据很难准确测量。
In this paper, we derive mathematical formulas for the skin friction coefficient in wall-bounded turbulence based on the Reynolds averaged streamwise momentum equation and the total stress. Specially, with the theoretical or empirical relation of the total stress, the skin friction coefficient is expressed in terms of the mean velocity and the Reynolds shear stress in an arbitrary wall-normal region $[h_0, h_1]$. The formulas are validated using the direct numerical simulation data of turbulent channel and boundary layer flows, and the results show that our formulas estimate the skin friction coefficient very accurately with an error less than $2\%$. We believe that the present integral formula can be used to determine the skin friction in turbulent channel and boundary layer flows at high Reynolds numbers where the near wall statistics are very difficult to measure accurately.
