Stokes第二问题与主动流体惯性的约化
Stokes' second problem and reduction of inertia in active fluids
摘要：
我们研究了广义Navier-Stokes模型，该模型描述了由ATP驱动的微管或游泳细菌的非稀悬浮液中的薄膜流动，这些悬浮液被封闭在移动的环形容器中。考虑到斯托克斯的第二个问题，它涉及的运动的振荡边界，我们的数值分析预测，一个周期性旋转的环将在一个更高的频率振荡在主动流体比在被动流体，由于活动引起的流体惯性的减少。在与外力或扭矩隔离的自由悬挂的流体容器系统的情况下，如果限制半径与主动悬挂的固有涡流尺寸的某些倍数相匹配，则主动流体应力可以引起容器的角动量的大的波动。这种效应可以用来将集体微观游泳活动转化为宏观运动的最佳调整的几何形状。
英文摘要：
We study a generalized Navier-Stokes model describing the thin-film flows in non-dilute suspensions of ATP-driven microtubules or swimming bacteria that are enclosed by a moving ring-shaped container. Considering Stokes' second problem, which concerns the motion of an oscillating boundary, our numerical analysis predicts that a periodically rotating ring will oscillate at a higher frequency in an active fluid than in a passive fluid, due to an activity-induced reduction of the fluid inertia. In the case of a freely suspended fluid-container system that is isolated from external forces or torques, active fluid stresses can induce large fluctuations in the container's angular momentum if the confinement radius matches certain multiples of the intrinsic vortex size of the active suspension. This effect could be utilized to transform collective microscopic swimmer activity into macroscopic motion in optimally tuned geometries.
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