论文标题

湍流乳液中的全球和地方统计

Global and local statistics in turbulent emulsions

论文作者

Yi, Lei, Toschi, Federico, Sun, Chao

论文摘要

湍流乳液是复杂的物理系统,其特征是小滴和大规模流变学之间的强和动态耦合。通过使用专门设计的Taylor-Couette(TC)剪切流系统,我们能够以高达40%的油量分数,表征分散在乙醇 - 水连续溶液中的油滴制成的湍流乳液的统计特性。我们发现,Hinze的标准可以很好地描述液滴尺寸对1%体积分数的雷诺数的依赖性。发现液滴尺寸的分布遵循对数正态分布的分布,暗示了碎片过程是可能的机制主导液滴形成。另外,湍流乳液的有效粘度随着分散油相的体积分数而增加,并且当剪切强度提高时会降低。我们发现,有效粘度对剪切速率的依赖性可以由Herschel-Bulkley模型描述,其流量指数随着油体积分数的增加而单调降低。这一发现表明,剪切变薄的程度随着分散相的体积分数而系统地增加。目前的发现对于弥合有关湍流的知识和低雷诺族乳液流向湍流乳液流的重要意义。

Turbulent emulsions are complex physical systems characterized by a strong and dynamical coupling between small-scale droplets and large-scale rheology. By using a specifically designed Taylor-Couette (TC) shear flow system, we are able to characterize the statistical properties of a turbulent emulsion made of oil droplets dispersed in an ethanol-water continuous solution, at the oil volume fraction up to 40%. We find that the dependence of the droplet size on the Reynolds number of the flow at the volume fraction of 1% can be well described by Hinze's criterion. The distribution of droplet sizes is found to follow a log-normal distribution, hinting at a fragmentation process as the possible mechanism dominating droplet formation. Additionally, the effective viscosity of the turbulent emulsion increases with the volume fraction of the dispersed oil phase, and decreases when the shear strength is increased. We find that the dependence of the effective viscosity on the shear rate can be described by the Herschel-Bulkley model, with a flow index monotonically decreasing with increasing the oil volume fraction. This finding indicates that the degree of shear thinning systematically increases with the volume fraction of the dispersed phase. The current findings have important implications for bridging the knowledge on turbulence and low-Reynolds-number emulsion flows to turbulent emulsion flows.

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