Localized states in a film-dragging experiment.

Localized states in a film-dragging experiment.
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薄膜拖动实验中的局部状态。

DOI:
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发表时间:
1993
期刊:
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
影响因子:
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通讯作者:
Melo
Melo
中科院分区:
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文献类型:
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作者:
Melo

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当粘性流体被拖上部分充满的圆柱体的后退壁,水平旋转时,可能会出现与粘性层的两种不同状态空间共存对应的局域结构。通过改变角速度和流体量两个控制参数,我们能够表征共存状态的稳定域。局域结构在这两个态之间的跃迁较大的参数空间的小区域内是稳定和稳定的。与具有守恒序参数的相变类似,我们建议局域结构的大小既要根据圆柱体中液体的总体积守恒定律来选择,又要根据稳定性判据来选择。通过对粘性层扰动的分布和动力学的研究,我们发现这两种状态都可以用润滑近似来很好地描述,但这种近似不能解释这两种状态的共存。
When a viscous fluid is dragged up the retreating wall of a partially filled cylinder, rotating horizontally, a localized structure can occur corresponding to the spatial coexistence of two different states of the viscous layer. By changing two control parameters, the angular velocity and the amount of fluid, we were able to characterize the domains of stability of coexisting states. Localized structures are stable and stationary in a small region of parameter space where the transition between these two states is large. In analogy with a phase transition with a conserved order parameter, it is suggested that the size of the localized structure is selected from both a law of conservation of total volume of liquid in the cylinder and a stability criterion. By studying the profile and the dynamics of disturbances of the viscous layer, we have shown that both states are well described by the lubrication approximation, but this approximation fails to explain the coexistence of the states.