12/21/2023 0 Comments Liquid notes bridge download![]() Therefore, the equilibrium contour of the liquid drop can be alternatively obtained by integrating the Young-Laplace equation. Formally, this calculation would lead to the well-known Young-Laplace equation, which represents the dynamical equilibrium between pressure, surface tension, gravity and inertial forces. The equilibrium shape of a liquid drop can be calculated by minimizing the sum of the potential energy associated with gravity and inertial forces acting on it, and the energy associated with the interface. In the present contribution, we numerically calculate the equilibrium shape of a liquid bridge anchored to the edges of two parallel solid supports of arbitrary shape. They have mainly focussed on the analytical and numerical calculation of the stability limits. Works considering liquid bridges with noncircular supports are still very scarce. In these papers, the deviation of the liquid bridge contour from the axisymmetric shape is due to the action of lateral forces and/or eccentricity of the supporting disks. Most of the specialized literature deals with axisymmetric liquid bridges, although many papers considering non-axisymmetric configurations have been recently published. This confers to the study of liquid bridges a great interest not only in fluid mechanics but also in the field of material engineering. In this way, one obtains a stable fluid configuration with a larger exposed surface area.Īpart from the fundamental point of view, a liquid bridge can be considered as the simplest idealisation of the configuration appearing in the floating zone technique used for crystal growth and purification of high melting point materials. In the Plateau-Rayleigh technique, a liquid bridge is surrounded by a liquid bath of similar density to partially compensate for the effect of the hydrostatic pressure along the interface. On the experimental side, a liquid bridge can hold a significant liquid volume and provide a convenient way for its manipulation even under normal gravity conditions. The equilibrium shapes, their stability, the small amplitude dynamics, and the nonlinear breakup of liquid bridges are classical consecutive steps in the theoretical study of their mechanical behaviour. The liquid bridge has been considered as a prototype to analyse mechanical and thermomechanical phenomena dominated by the surface tension. This fluid configuration has been extensively studied during the past decades from both theoretical and experimental points of view. Montanero, in Recent Advances in Multidisciplinary Applied Physics, 2005 INTRODUCTIONĪ liquid bridge is a mass of liquid sustained by the action of the surface tension force between two parallel supporting disks.
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