论文标题
泰勒 - 卡利克撤回和周围环境的影响
Taylor-Culick retractions and the influence of the surroundings
论文作者
论文摘要
当自由悬浮的液体膜破裂时，它在表面张力的作用下自发缩回。如果膜被空气包围，则已知缩回速度接近恒定的泰勒 - 卡利克速度。但是，当被外部粘性介质包围时，该介质中的耗散决定了回缩速度的大小。在目前的工作中，我们研究了液体（水）在粘性油环中的缩回（\ emph {两阶段} taylor-culick缩回），并将其夹在空气和粘性油（\ emph {thr-phase} taylor-culick retactions）之间。在后一种情况下，与水膜完全被油包围的构型相比，观察到实验测量的回缩速度对油相的粘度较弱。数值模拟表明，这种较弱的依赖性源于三相接触线附近的粘性耗散的定位。回缩速度仅取决于周围介质的粘度，而不取决于膜的粘度。从实验和数值模拟中，我们揭示了薄膜的韦伯数字$ we_f $（基于其撤回速度）或周围环境的毛细血管数字$ ca_s $ vs. oh__s^{ - 2} $和$ ca_s \ sim oh__s^{0} $用于两相taylor-culick配置，以及$ we_f \ sim oh_s^{ - 1} $和$ ca_s \ ca_s \ sim oh__s oh__s oh__s^{1/2} $，用于三个phase taylor-culick taylor-culick taylor-culick taylor-culick taylor-culick taylor-culick taylor-culick taylor-culick taylor-culick。
When a freely suspended liquid film ruptures, it retracts spontaneously under the action of surface tension. If the film is surrounded by air, the retraction velocity is known to approach the constant Taylor-Culick velocity. However, when surrounded by an external viscous medium, the dissipation within that medium dictates the magnitude of the retraction velocity. In the present work, we study the retraction of a liquid (water) film in a viscous oil ambient (\emph{two-phase} Taylor-Culick retractions), and that sandwiched between air and a viscous oil (\emph{three-phase} Taylor-Culick retractions). In the latter case, the experimentally-measured retraction velocity is observed to have a weaker dependence on the viscosity of the oil phase as compared to the configuration where the water film is surrounded completely by oil. Numerical simulations indicate that this weaker dependence arises from the localization of viscous dissipation near the three-phase contact line. The speed of retraction only depends on the viscosity of the surrounding medium and not on that of the film. From the experiments and the numerical simulations, we reveal unprecedented regimes for the scaling of the Weber number $We_f$ of the film (based on its retraction velocity) or the capillary number $Ca_s$ of the surroundings vs. the Ohnesorge number $Oh_s$ of the surroundings in the regime of large viscosity of the surroundings ($Oh_s \gg 1$), namely $We_f \sim Oh_s^{-2}$ and $Ca_s \sim Oh_s^{0}$ for the two-phase Taylor-Culick configuration, and $We_f \sim Oh_s^{-1}$ and $Ca_s \sim Oh_s^{1/2}$ for the three-phase Taylor-Culick configuration.
