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arXiv 0908.0220physics.flu-dyn
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是什么决定了合成湍流中重液滴的尺寸分布?

What Determines Size Distributions of Heavy Drops in a Synthetic Turbulent Flow?

Jens C. Zahnow, Ulrike Feudel

摘要:

我们提出的结果从一个单独的粒子为基础的模型的碰撞,凝聚和破碎的重滴在湍流中移动。这样的模型框架可以帮助弥合两相流的完全流体动力学模拟之间的差距,两相流的完全流体动力学模拟通常只能研究很少的颗粒和严重依赖于参数化的基于平均场的凝结和破碎方法,并且例如不能完全捕获颗粒惯性。我们研究的稳定状态,从凝聚和破碎之间的平衡和颗粒的性质和流动特性的影响,这个稳定状态的结果。我们比较了两种不同的破碎机制,尺寸限制的碎片,当超过最大尺寸和剪切碎片,颗粒破碎时,在流中的局部剪切力超过颗粒的结合力。对于尺寸限制破碎的稳定状态主要是由最大稳定颗粒尺寸的影响,而颗粒和流动特性只影响的方法,以稳定状态。对于剪切破碎,达到稳定状态的方法和稳定状态本身取决于颗粒和流动参数。在那里,我们发现的稳定状态和颗粒和流动参数,由破碎的稳定性条件确定的标度关系。

英文摘要:

We present results from an individual particle based model for the collision, coagulation and fragmentation of heavy drops moving in a turbulent flow. Such a model framework can help to bridge the gap between the full hydrodynamic simulation of two phase flows, which can usually only study few particles and mean field based approaches for coagulation and fragmentation relying heavily on parameterization and are for example unable to fully capture particle inertia. We study the steady state that results from a balance between coagulation and fragmentation and the impact of particle properties and flow properties on this steady state. We compare two different fragmentation mechanisms, size-limiting fragmentation where particles fragment when exceeding a maximum size and shear fragmentation, where particles break up when local shear forces in the flow exceed the binding force of the particle. For size-limiting fragmentation the steady state is mainly influenced by the maximum stable particle size, while particle and flow properties only influence the approach to the steady state. For shear fragmentation both the approach to the steady state and the steady state itself depend on the particle and flow parameters. There we find scaling relationships between the steady state and the particle and flow parameters that are determined by the stability condition for fragmentation.

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