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Numerical simulations of the polydisperse droplet size distribution of disperse blends in complex flow
Rheologica Acta ( IF 2.3 ) Pub Date : 2021-03-06 , DOI: 10.1007/s00397-021-01258-4
Wing-Hin B. Wong , Pieter J. A. Janssen , Martien A. Hulsen , Patrick D. Anderson

The blend morphology model developed by Wong et al. (Rheologica Acta, 2019), based on Peters et al. (J Rheol 45(3):659–689, 2001), is used to investigate the development of the polydispersity of the disperse polymer blend morphology in complex flow. First, the model is extended with additional morphological states. The extended model is tested for simple shear flow, where it is found that the droplet size distribution does not simply scale with the shear rate, because this scaling does not hold for coalescing droplets. Subsequently, the model is applied to Poiseuille flow, showing formation of distinct layers, which occurs in realistic pressure-driven flows. Finally, the model is applied on an eccentric cylinder flow, where histograms are made of the average droplet size throughout the domain. It is observed that outer cylinder rotation results in narrow distributions where the small droplets are relatively large, whereas inner cylinder rotation results in broad distributions where the small droplets are significantly smaller than in the case of outer cylinder rotation. Eccentricity seems to only have a minor effect if the maximum shear rate is held constant. The flow profile and history in combination with the maximum shear rate strongly determine how the polydisperse droplet size distribution develops.



中文翻译:

复杂流中分散共混物多分散液滴尺寸分布的数值模拟

Wong等人开发的混合形态模型。(Rheologica Acta,2019),基于Peters等人。(瑞尔45(3):659–689,2001),用于研究复杂流动中分散聚合物共混物形态的多分散性发展。首先,用其他形态学状态扩展模型。对扩展模型进行了简单剪切流测试,发现液滴尺寸分布并不会随剪切速率简单缩放,因为这种缩放不适用于合并液滴。随后,将模型应用于Poiseuille流动,显示出形成不同层的情况,这是在实际压力驱动的流动中发生的。最后,将模型应用于偏心圆柱流,其中直方图由整个域中的平均液滴大小组成。可以看出,外圆柱旋转会导致狭窄的分布,其中小液滴相对较大,而内圆柱旋转会产生较宽的分布,其中的小液滴比外圆柱旋转的情况要小得多。如果最大剪切速率保持恒定,则偏心率似乎只会产生较小的影响。流动曲线和历史以及最大剪切速率强烈地决定了多分散液滴尺寸分布的发展方式。

更新日期:2021-03-07
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