Hysteresis behaviour was reported in spanwise rotating plane Couette flow (RPCF) at Reynolds number $R{e}_w=U_{w}h/\nu =1300$ with varying rotation number $Ro=2{\mathrm{\Omega }}_{z}h/U_w$ in a recent work (Huang et al. Phys. Rev. Fluids 2019;4:052401(R)). Here, $U_w$ is half of the velocity difference between two walls, h is half of the channel width, ν is the kinematic viscosity and ${\mathrm{\Omega }}_z$ is the constant angular velocity in the spanwise direction. In this paper, we perform two groups of direct numerical simulations at $R{e}_w=2600$ where Ro varies in steps along two opposite directions to investigate the hysteresis behaviour in RPCF at a relatively higher Reynolds number. It is found that when Reynolds number increases to 2600, the hysteresis of flow structures still exists in RPCF, but the span of the hysteresis loop shrinks from $0.03\le Ro\le 0.3$ to $0.03\le Ro\le 0.2$. Turbulent statistics, such as the friction Reynolds number, turbulent kinetic energy and mean velocity gradient at the centreline, all exhibit similar hysteresis behaviours.

在以雷诺数表示的翼展方向旋转平面库埃特流（RPCF）中报告了磁滞行为 $\mathrm{[R}{Ë}_w={ü}_{w}H/\nu =1300$ 具有不同的转数 $\mathrm{[R}Ø=2{\mathrm{\Omega }}_{ž}H/{ü}_w$（Huang et al.Phys.Rev.Fluids 2019; 4：052401（R））。这里，${ü}_w$是两个壁之间速度差的一半，h是通道宽度的一半，v是运动粘度，${\mathrm{\Omega }}_{ž}$是在翼展方向上的恒定角速度。在本文中，我们在以下位置执行两组直接数值模拟$\mathrm{[R}{Ë}_w=2600$其中Ro沿两个相反方向逐步变化，以研究相对较高雷诺数下RPCF中的磁滞行为。发现当雷诺数增加到2600时，RPCF中仍然存在流结构的滞后，但是滞后循环的范围从$0.03\le \mathrm{[R}Ø\le 0.3$ 至 $0.03\le \mathrm{[R}Ø\le 0.2$。湍流统计数据，例如中心的雷诺数摩擦，湍动能和平均速度梯度，都表现出相似的磁滞行为。