2011
DOI: 10.1063/1.3643289
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Dynamics of freely moving plates connected by a shallow liquid bridge

Abstract: We study the dynamics of freely moving plates connected by a shallow liquid bridge via analytic and experimental methods. The gap between the plates is used as a small parameter within a lubrication approximation, reducing the problem to an Abel equation of the second kind. Analysis of the governing differential equation yields two novel physical phenomena: (1) An impulse-like peak in the force applied by the liquid bridge on the plates, obtained from a uniform asymptotic solution for small capillary numbers. … Show more

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Cited by 9 publications
(7 citation statements)
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“…Similar to its lateral DOFs, the axial dynamic response of an axisymmetric liquid bridge can be described by second‐order dynamical formalisms . Notably, the axial response of liquid joints was experimentally observed to morph from being controlled by capillarity to viscosity for increasing values of the capillary number, proportional to the frequency of perturbation .…”
Section: Structural Manipulation and Deployment: The Fluid Joint As Amentioning
confidence: 99%
“…Similar to its lateral DOFs, the axial dynamic response of an axisymmetric liquid bridge can be described by second‐order dynamical formalisms . Notably, the axial response of liquid joints was experimentally observed to morph from being controlled by capillarity to viscosity for increasing values of the capillary number, proportional to the frequency of perturbation .…”
Section: Structural Manipulation and Deployment: The Fluid Joint As Amentioning
confidence: 99%
“…For ε 2 → 0 and small Bond number ρgl 2 g /γ 1, the curvature at the liquid-gas interface is part of a circular arc and can be estimated from geometric relations as C ∼ 2 cos θ/(1 − D i + D i+1 ) (Gat, Navaz & Gharib 2011), where θ is the static (advancing or receding) wetting angle at the solid-liquid boundary. Thus, the pressure at the liquid-gas interface, denoted as Y l = L(X l , T) where L is the vertical location of the solid-liquid interface (see figure 1), is given by…”
Section: 2mentioning
confidence: 99%
“…As length decreases, these scale linearly [3] and hence decrease more slowly than body force and weight. Because of this, these two forces have been utilized in many small scale mechanical manipulators, such as self-assembly [6,7], actuation [8,9], lubrication [10][11][12][13], grasp and release [14,15]. A practical example is the liquid bridge [5,16,17] spanning the gap between two solid surfaces.…”
Section: Introductionmentioning
confidence: 99%