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A simple stochastic quadrant model for the transport and deposition of particles in turbulent boundary layers

机译：一个简单的随机象限模型，用于在湍流边界层中传输和沉积颗粒

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摘要

We present a simple stochastic quadrant model for calculating the transport and deposition of heavy particles in a fully developed turbulent boundary layer based on the statistics of wall-normal fluid velocity fluctuations obtained from a fully developed channel flow. Individual particles are tracked through the boundary layer via their interactions with a succession of random eddies found in each of the quadrants of the fluid Reynolds shear stress domain in a homogeneous Markov chain process. In this way, we are able to account directly for the influence of ejection and sweeping events as others have done but without resorting to the use of adjustable parameters. Deposition rate predictions for a wide range of heavy particles predicted by the model compare well with benchmark experimental measurements. In addition, deposition rates are compared with those obtained from continuous random walk models and Langevin equation based ejection and sweep models which noticeably give significantly lower deposition rates. Various statistics related to the particle near wall behavior are also presented. Finally, we consider the model limitations in using the model to calculate deposition in more complex flows where the near wall turbulence may be significantly different. (C) 2015 AIP Publishing LLC.
机译：我们提供了一个简单的随机象限模型，该模型用于根据从完全发达的通道水流获得的壁面法向流体速度波动的统计数据，计算完全发达的湍流边界层中重粒子的传输和沉积。在均匀的马尔可夫链过程中，通过与在流体雷诺剪切应力域的每个象限中发现的一系列随机涡旋的相互作用，跟踪单个粒子穿过边界层。这样，我们就可以像其他人一样直接考虑喷射和清扫事件的影响，而无需诉诸使用可调参数。该模型预测的各种重粒子的沉积速率预测值与基准实验测量值可以很好地比较。另外，将沉积速率与从连续随机游走模型和基于Langevin方程的喷射和清除模型获得的沉积速率进行比较，这明显降低了沉积速率。还介绍了与粒子近壁行为有关的各种统计数据。最后，我们考虑了在使用模型来计算较复杂的流动中的沉积时的模型局限性，其中近壁湍流可能存在显着差异。 （C）2015 AIP Publishing LLC。

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