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arXiv 0909.5628physics.flu-dyn
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湍流中中性浮力粒子动力学中的尺度效应

Finite-size effects in the dynamics of neutrally buoyant particles in turbulent flow

Holger Homann, Jeremie Bec

摘要:

本文研究了由湍流输送的中性浮力颗粒的动力学特性,这些颗粒的半径为Kolmogorov耗散尺度或更大。Pasquetti等人(2008)提出的伪惩罚谱方法适用于数值积分粒子和流体的同时动力学。这样的方法给出了一个独特的处理点粒子近似的有效性的限制,这是一般用于应用场合。分析预测的基础上,这样的模型进行比较,非常好地解决直接数值模拟的结果。得到的证据表明,Faxen校正给占主导地位的有限尺寸的修正粒子直径的速度和加速度波动高达四倍的柯尔莫哥洛夫尺度。具有较大直径的粒子的动力学由惯性范围物理学主导,并且与从量纲分析获得的预测一致。

英文摘要:

The dynamics of neutrally buoyant particles transported by a turbulent flow is investigated for spherical particles with radii of the order of the Kolmogorov dissipative scale or larger. The pseudo-penalisation spectral method that has been proposed by Pasquetti et al. (2008) is adapted to integrate numerically the simultaneous dynamics of the particle and of the fluid. Such a method gives a unique handle on the limit of validity of point-particle approximations, which are generally used in applicative situations. Analytical predictions based on such models are compared to result of very well resolved direct numerical simulations. Evidence is obtained that Faxen corrections give dominant finite-size corrections to velocity and acceleration fluctuations for particle diameters up to four times the Kolmogorov scale. The dynamics of particles with larger diameters is dominated by inertial-range physics, and is consistent with predictions obtained from dimensional analysis.

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。

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