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恒定粘度弹性液体桥的扭转不稳定性。

Torsional instability of constant viscosity elastic liquid bridges.

作者信息

Chan San To, Varchanis Stylianos, Haward Simon J, Shen Amy Q

机构信息

Okinawa Institute of Science and Technology Graduate University, Onna, Okinawa 904-0495, Japan.

出版信息

Soft Matter. 2022 Mar 9;18(10):1965-1977. doi: 10.1039/d1sm01804c.

Abstract

By experiment and simulation, we report that viscoelastic liquid bridges made of constant viscosity elastic liquids, a.k.a. Boger fluids, can be effectively destabilized by torsion. Under torsion, the deformation of the liquid bridge depends on the competition between elastocapillarity and torsion-induced normal stress effects. When the elastocapillary effect dominates, the liquid bridge undergoes elastocapillary instability and thins into a cylindrical thread, whose length increases and whose radius decays exponentially over time. When the torsion-induced normal stress effect dominates, the liquid bridge deforms in a way similar to edge fracture, a flow instability characterized by the sudden indentation of the fluid's free surface when a viscoelastic fluid is sheared at above a critical deformation rate. The vertical component of the normal stress causes the upper and lower portions of the liquid bridge to approach each other, and the radial component of the normal stress results in the liquid bridge thinning more quickly than under elastocapillarity. Whether such quick thinning continues until the bridge breaks depends on both the liquid bridge configuration and the level of torsion applied.

摘要

通过实验和模拟,我们报告称,由恒定粘度弹性液体(即博格流体)制成的粘弹性液桥可通过扭转有效地使其失稳。在扭转作用下,液桥的变形取决于弹性毛细作用和扭转诱导的法向应力效应之间的竞争。当弹性毛细作用占主导时,液桥会经历弹性毛细不稳定性并变薄成圆柱形细丝,其长度增加且半径随时间呈指数衰减。当扭转诱导的法向应力效应占主导时,液桥的变形方式类似于边缘断裂,这是一种流动不稳定性,其特征是当粘弹性流体以高于临界变形速率剪切时,流体自由表面会突然凹陷。法向应力的垂直分量导致液桥的上部和下部相互靠近,法向应力的径向分量导致液桥比在弹性毛细作用下更快地变薄。这种快速变薄是否会持续到液桥断裂取决于液桥的构型和所施加的扭转程度。

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