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任意方向液体壁和界面的振动稳定化。

Liquid walls and interfaces in arbitrary directions stabilized by vibrations.

机构信息

Institut Langevin, Ecole Supérieure de Physique et de Chimie Industrielles de Paris, Université Paris Sciences et Lettres, CNRS, Paris F-75005, France.

Laboratoire de Physique et Mécanique des Milieux Hétérogènes, Ecole Supérieure de Physique et de Chimie Industrielles de Paris, CNRS, Université Paris Sciences et Lettres, Sorbonne Université, Université de Paris, Paris F-75005, France.

出版信息

Proc Natl Acad Sci U S A. 2021 Nov 30;118(48). doi: 10.1073/pnas.2111214118.

DOI:10.1073/pnas.2111214118
PMID:34819375
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8640739/
Abstract

Gravity shapes liquids and plays a crucial role in their internal balance. Creating new equilibrium configurations irrespective of the presence of a gravitational field is challenging with applications on Earth as well as in zero-gravity environments. Vibrations are known to alter the shape of liquid interfaces and also to change internal dynamics and stability in depth. Here, we show that vibrations can also create an "artificial gravity" in any direction. We demonstrate that a liquid can maintain an inclined interface when shaken in an arbitrary direction. A necessary condition for the equilibrium to occur is the existence of a velocity gradient determined by dynamical boundary conditions. However, the no-slip boundary condition and incompressibility can perturb the required velocity profile, leading to a destabilization of the equilibrium. We show that liquid layers provide a solution, and liquid walls of several centimeters in height can thus be stabilized. We show that the buoyancy equilibrium is not affected by the forcing.

摘要

重力塑造了液体的形态,并在其内部平衡中起着至关重要的作用。在地球上和零重力环境中,创造新的平衡构型而不考虑重力场的存在具有挑战性。振动已知会改变液体界面的形状,并且还会改变深度处的内部动力学和稳定性。在这里,我们表明振动也可以在任何方向上产生“人工重力”。我们证明,当液体在任意方向上振动时,液体可以保持倾斜的界面。发生平衡的必要条件是存在由动力学边界条件确定的速度梯度。然而,无滑移边界条件和不可压缩性会干扰所需的速度分布,从而导致平衡失稳。我们表明,液体层提供了一种解决方案,因此几厘米高的液体壁可以得到稳定。我们表明浮力平衡不受外力的影响。

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本文引用的文献

1
Floating under a levitating liquid.悬浮在液态中。
Nature. 2020 Sep;585(7823):48-52. doi: 10.1038/s41586-020-2643-8. Epub 2020 Sep 2.
2
Vibroequilibria in microgravity: Comparison of experiments and theory.微重力下的振动平衡:实验与理论的比较。
Phys Rev E. 2019 Dec;100(6-1):063103. doi: 10.1103/PhysRevE.100.063103.
3
Finite-size effects on pattern selection in immiscible fluids subjected to horizontal vibrations in weightlessness.有限尺寸对失重环境下水平振动的不混溶流体中图案选择的影响。
Phys Rev E. 2019 Apr;99(4-1):042803. doi: 10.1103/PhysRevE.99.042803.
4
Experimental evidence of thermal vibrational convection in a nonuniformly heated fluid in a reduced gravity environment.在微重力环境下非均匀加热流体中热振动对流的实验证据。
Phys Rev Lett. 2008 Aug 22;101(8):084501. doi: 10.1103/PhysRevLett.101.084501. Epub 2008 Aug 19.
5
High-frequency driven capillary flows speed up the gas-liquid phase transition in zero-gravity conditions.高频驱动的毛细管流加速了零重力条件下的气液相变。
Phys Rev Lett. 2005 Jul 15;95(3):034502. doi: 10.1103/PhysRevLett.95.034502. Epub 2005 Jul 14.
6
Control of Rayleigh-Taylor instability by vertical vibration in large aspect ratio containers.大纵横比容器中垂直振动对瑞利-泰勒不稳定性的控制
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Jul;64(1 Pt 2):016318. doi: 10.1103/PhysRevE.64.016318. Epub 2001 Jun 28.