论文标题

电动粘弹性液桥的破裂

Breakup of an electrified viscoelastic liquid bridge

论文作者

Rubio, Manuel, Vega, Emilio J., Herrada, Miguel A., Montanero, José M., Galindo-Rosales, Francisco J.

论文摘要

我们在数值和实验上研究了两个平行电极之间粘弹性液体桥的破裂。我们解决了泄漏的芬特Fene-P模型,以描述等温条件下液体桥的动态响应。结果表明,表面电荷在整个动力学过程中筛选了垂直于自由表面的内部电场。液体桥变形在自由表面的外侧产生正常的电场,该电场与轴向相一致。在实验中分析的时间间隔内,表面传导不会显着影响电流强度。由于剪切应力引起的力与丝的最后阶段的粘弹性和表面张力力相当。但是,它不会改变细丝中的弹性毛细血管平衡。伸展的松弛时间大致与Fene-P模型中规定的应力松弛时间一致。我们通过实验测量溶解在去离子水和水和甘油混合物中的PEO的细丝电导率和延伸的松弛时间。我们将细丝电导率与在静水条件下测量的值进行比较。发现溶解在水+甘油中的PEO良好一致,这表明由于存在拉伸聚合物链而导致的细丝显微镜结构的变化并不能显着改变拉伸方向上的离子迁移率。发现溶解在去离子水中的PEO的显着偏差,这可能归因于传递到环境的热量,在丝状温度的计算中被忽略。从丝变薄过程中获得的图像测得的延伸弛豫时间几乎不取决于施加的电压。

We study both numerically and experimentally the breakup of a viscoelastic liquid bridge between two parallel electrodes. We solve the leaky-dielectric FENE-P model to describe the dynamical response of the liquid bridge under isothermal conditions. The results show that the surface charge screens the inner electric field perpendicular to the free surface over the entire dynamical process. The liquid bridge deformation produces a normal electric field on the outer side of the free surface that is commensurate with the axial one. The surface conduction does not significantly affect the current intensity in the time interval analyzed in the experiments. The force due to the shear electric stress becomes comparable to both the viscoelastic and surface tension forces in the last stage of the filament. However, it does not alter the elasto-capillary balance in the filament. The extensional relaxation times approximately coincides with the stress relaxation time prescribed in the FENE-P model. We measure experimentally the filament electrical conductivity and extensional relaxation time for PEO dissolved in deionized water and in a mixture of water and glycerine. We compare the filament electrical conductivity with the value measured in hydrostatic conditions for the same estimated temperature. Good agreement was found for PEO dissolved in water+glycerine, which indicates that the change of the filament microscopic structure due to the presence of stretched polymeric chains does not significantly alter the ion mobility in the stretching direction. Significant deviations are found for PEO dissolved in deionized water that may be attributed to the heat transferred to the ambient, neglected in the calculation of the filament temperature. The extensional relaxation time measured from the images acquired during the filament thinning hardly depends on the applied voltage.

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