稳态层流中重惯性颗粒对Stokes数的非规则依赖与非遍历输运
Irregular dependence on Stokes number and non-ergodic transport of heavy inertial particles in steady laminar flows
AI总结：
本文研究稳态层流Taylor-Green流中重惯性颗粒的输运，发现其动力学和有效扩散率随Stokes数呈非规则、非单调甚至不连续变化，并揭示非遍历行为及混沌、被困和弹道弥散等多样运动模式。
摘要：
流体中的小重颗粒以与其惯性或Stokes数St成正比的时间尺度响应流动。通常认为它们的行为会随着St增大而逐渐改变。我们证明，在稳态空间周期层流Taylor-Green流中，颗粒动力学及其有效扩散率实际上随St增大呈非规则、非单调且有时不连续的变化。在Stokes数为O(1)时，我们展示了混沌颗粒运动，这与先前关于同一流动中重颗粒的结论（Wang et al. 1992）形成对比。颗粒可能表现出被困轨道，或无界扩散或弹道弥散，其中涡旋的行为类似于软Lorentz气体中的散射体（Klages et al. 2019）。该动力学是非遍历的。我们讨论了这些发现对颗粒湍流可能产生的影响。
英文摘要：
Small heavy particles in a fluid flow respond to the flow on a time-scale proportional to their inertia, or Stokes number St. Their behaviour is thought to be gradually modified as St increases. We show, in the steady spatially-periodic laminar Taylor-Green flow, that particle dynamics, and their effective diffusivity, actually change in an irregular, non-monotonic and sometimes discontinuous manner, with increasing St. At Stokes of order one, we show chaotic particle motion, contrasting earlier conclusions for heavy particles in the same flow (Wang et al. 1992). Particles may display trapped orbits, or unbounded diffusive or ballistic dispersion, with the vortices behaving like scatterers in a soft Lorentz gas (Klages et al. 2019). The dynamics is non-ergodic. We discuss the possible consequences of our findings for particulate turbulent flows.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
