AI 中文总结
该研究采用Floquet分析，在两相 dusty-gas 框架内探究脉动颗粒负载通道流的线性稳定性，明确了各参数对其稳定性的影响，为相关多相系统稳定性提供统一物理框架。
AI 中文摘要
我们在两相 dusty-gas 框架内，采用Floquet分析研究了颗粒负载脉动通道流的线性稳定性。均匀分布的球形颗粒通过Stokes阻力与不可压缩牛顿流体耦合，控制方程围绕由正弦变化压力梯度驱动的时间周期基流进行线性化。研究了雷诺数、Womersley数、脉动振幅、颗粒弛豫时间和颗粒质量分数对时间不稳定性的影响。在稳态极限下，弛豫时间极短的颗粒会使流场失稳，而有限弛豫时间会引入相间滑移和阻力介导的阻尼，从而稳定扰动。在脉动驱动下，增大脉动振幅会在低Womersley数下使流场失稳，但在足够高的Womersley数下则会使其稳定。该转变由振荡运动的穿透深度决定，且会通过相间动量交换被颗粒弛豫时间和质量载荷系统性偏移。对应的临界值始终保持较小，表明颗粒-流体耦合作用强，排除了类共振的颗粒动力学。这些发现为与生理系统和周期驱动多相系统相关的脉动颗粒负载流的稳定性提供了统一的物理框架。
英文摘要
We investigate the linear stability of particle-laden pulsatile channel flow using Floquet analysis within a two-phase dusty-gas framework. Uniformly distributed spherical particles are coupled to an incompressible Newtonian fluid through Stokes drag, and the governing equations are linearized about a time-periodic base flow driven by a sinusoidally varying pressure gradient. The effects of Reynolds number, Womersley number, pulsation amplitude, particle relaxation time, and particle mass fraction on temporal instability are examined. In the steady limit, particles with very short relaxation times destabilize the flow, whereas finite relaxation times introduce interphase slip and drag-mediated damping that stabilize disturbances. Under pulsatile forcing, increasing pulsation amplitude destabilizes the flow at low Womersley numbers but stabilizes it at sufficiently high Womersley numbers. This transition is governed by the penetration depth of oscillatory motion and is systematically shifted by particle relaxation time and mass loading through interphase momentum exchange. A critical corresponding value remains small throughout, indicating strong particle-fluid coupling and ruling out resonance-like particle dynamics. These findings provide a unified physical framework for the stability of pulsatile particle-laden flows relevant to physiological and periodically forced multiphase systems.
Comments29 pages, 11 figures (This manuscript is in review in the Journal of Fluid Mechanics)
