二元流体混合物中的凝固驱动turbulence
Coagulation drives turbulence in binary fluid mixtures
摘要：
我们使用直接的数值模拟和缩放参数来研究在小的扩散率和粘度下，在液滴-旋节线制度中具有保守的序参量的二元流体混合物中的粗化-液滴的体积分数既不太小也不对称。液滴的凝结驱动最终衰减的湍流。我们发现了一种新的粗化机制，驱动的湍流的特征长度尺度的流量是从液滴的特征长度尺度不同，从而引起的域生长规律的$t^{1/2}$，其中$t$是时间。在中间时间，流和液滴形成自相似结构：结构因子$S(q) \sim q^{-2}$和动能谱$E(q) \sim q^{-5/3}$，对于$q$的中间范围，波数。
英文摘要：
We use direct numerical simulations and scaling arguments to study coarsening in binary fluid mixtures with a conserved order parameter in the droplet-spinodal regime -- the volume fraction of the droplets is neither too small nor symmetric -- for small diffusivity and viscosity. Coagulation of droplets drives a turbulent flow that eventually decays. We uncover a novel coarsening mechanism, driven by turbulence where the characteristic length scale of the flow is different from the characteristic length scale of droplets, giving rise to a domain growth law of $t^{1/2}$, where $t$ is time. At intermediate times, both the flow and the droplets form self-similar structures: the structure factor $S(q) \sim q^{-2}$ and the kinetic energy spectra $E(q) \sim q^{-5/3}$ for an intermediate range of $q$, the wavenumber.
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