AI 中文总结
该研究推导了环形流动中表面摩擦系数等相关积分恒等式，用于压力驱动和圆柱驱动情况，还能分析数据，在特定半径比极限下可简化为经典流恒等式。
AI 中文摘要
推导了环形圆柱流动中表面摩擦系数与雷诺切应力的积分恒等式。在压力驱动情况下，得到了最大流向速度径向位置的恒等式；在圆柱驱动情况下，得到了平均速度的恒等式。这些公式用于分析现有数值和实验数据，并在半径比极小和极大的极限情况下简化为经典的通道流和管流恒等式。
英文摘要
Integral identities relating the skin-friction coefficients and the Reynolds shear stresses in annular cylindrical flows are derived. In the pressure-driven case, an identity for the radial location of the maximum streamwise velocity is obtained and, in the cylinder-driven case, an identity for the bulk velocity is found. The formulas are used to analyse existing numerical and experimental data and simplify to classical channel-flow and pipe-flow identities in the limiting cases of vanishingly small and infinitely large radius ratios.
