Transport of impurities in 2D incompressible periodic flows

P. Paradisi , F. Tampieri
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引用次数: 3

Abstract

The investigation of the motion of finite size particles with density different from that of the fluid is relevant to the study of transport in geophysical flows. A two-dimensional model of an incompressible periodic flow is used in order to assess the role of the different forces acting on the impurity. The classic results (stability of the vortex centre for impurities lighter than the fluid; unstable motion for denser impurities) are reviewed. In the former case a typical convergence time scale towards the vortex centre is defined and studied as a function of the Stokes number St and the density ratio γ. In the range of parameters under consideration it is observed that the Basset force acts as a (further) drag term modifying the convergence time without altering the qualitative features of the particle trajectory.

二维不可压缩周期流中杂质的输运
研究密度不同于流体的有限大小颗粒的运动关系到地球物理流动中输运的研究。为了评估作用在杂质上的不同力的作用,使用了不可压缩周期流的二维模型。经典的结果(涡流中心对比流体轻的杂质的稳定性;评述了密度较大的杂质的不稳定运动。在前一种情况下,定义了一个典型的涡旋中心收敛时间尺度,并将其作为Stokes数St和密度比γ的函数进行了研究。在考虑的参数范围内,观察到巴塞特力作为一个(进一步的)阻力项改变收敛时间,而不改变粒子轨迹的定性特征。
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