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The pinch-off of an air bubble from an underwater nozzle ends in a singularity with a remarkable sensitivity to a variety of perturbations. I report on experiments that break both the axial (i.e., vertical) and azimuthal symmetry of the…

流体动力学 · 物理学 2013-05-29 Nathan C. Keim

The pinch-off of an axisymmetric air bubble surrounded by an inviscid fluid is compared in four physical realizations: (i) cavity collapse in the wake of an impacting disc, (ii) gas bubbles injected through a small orifice, (iii) bubble…

流体动力学 · 物理学 2009-12-14 Stephan Gekle , Devaraj van der Meer , Jacco H. Snoeijer , Detlef Lohse

The formation of gas bubbles in a liquid occurs in various engineering processes, such as during foam generation or agitation and mixing in bubbly flows. A challenge in describing the initial formation of a gas bubble is due to the singular…

软凝聚态物质 · 物理学 2025-03-18 Sreeram Rajesh , Sumukh S Peddada , Virgile Thiévenaz , Alban Sauret

At the point of pinch-off of an underwater air bubble, the speed of water rushing in diverges. Previous studies that assumed radial flow throughout showed that the local axial shape is two smoothly connected, slender cones that transition…

流体动力学 · 物理学 2012-10-31 Daniel C. Herbst , Wendy W. Zhang

Topological singularities occur in a broad range of physical systems, including collapsing stars and pinching fluid interfaces. They are important for being able to concentrate energy into a small region. Underwater air bubbles in…

流体动力学 · 物理学 2012-11-01 Daniel C. Herbst

Self-similarity has been the paradigmatic picture for the pinch-off of a drop. Here we will show through high-speed imaging and boundary integral simulations that the inverse problem, the pinch-off of an air bubble in water, is not…

Using high-speed video, we have studied air bubbles detaching from an underwater nozzle. As a bubble distorts, it forms a thin neck which develops a singular shape as it pinches off. As in other singularities, the minimum neck radius scales…

软凝聚态物质 · 物理学 2009-11-11 Nathan C. Keim , Peder Moller , Wendy W. Zhang , Sidney R. Nagel

The primary bifurcation of the flow past three-dimensional axisymmetric bodies is investigated. We show that the azimuthal vorticity generated at the body surface is at the root of the instability, and that the mechanism proposed by…

流体动力学 · 物理学 2025-04-28 A. Chiarini , R. Gauthier , E. Boujo

Consider the dynamics of a gas bubble in an inviscid, compressible liquid with surface tension. Kinematic and dynamic boundary conditions couple the bubble surface deformation dynamics with the dynamics of waves in the fluid. This system…

偏微分方程分析 · 数学 2015-03-14 A. M. Shapiro , M. I. Weinstein

The pressure-driven inertial collapse of a cylindrical void in an inviscid liquid is an integrable, Hamiltonian system that forms a finite-time singularity as the radius of the void collapses to zero. Here it is shown that when the natural…

流体动力学 · 物理学 2011-12-20 Laura E. Schmidt

The inertial collapse of two interacting and non-translating spherical bubbles of equal size is considered. The exact analytic solution to the nonlinear ordinary differential equation that governs the bubble radii during collapse is first…

流体动力学 · 物理学 2021-02-11 Anthony Harkin , Adam Giammarese , Nathaniel S. Barlow , Steven J. Weinstein

We investigate the gas jet breakup and the resulting microbubble formation in a microfluidic flow-focusing device using ultra high-speed imaging at 1 million frames/s. In recent experiments [Dollet et al., Phys. Rev. Lett. 100, 034504…

流体动力学 · 物理学 2011-10-21 Wim van Hoeve , Benjamin Dollet , Michel Versluis , Detlef Lohse

We use high-speed X-ray phase-contrast imaging, weakly nonlinear analysis and boundary integral simulations to characterize the final stage of underwater bubble break-up. The X-ray imaging study shows that an initial azimuthal perturbation…

流体动力学 · 物理学 2013-07-25 Lipeng Lai , Nathan C. Keim , Kamel Fezzaa , Wendy W. Zhang , Sidney R. Nagel

We investigate the collapse of an axisymmetric cavity or bubble inside a fluid of small viscosity, like water. Any effects of the gas inside the cavity as well as of the fluid viscosity are neglected. Using a slender-body description, we…

流体动力学 · 物理学 2015-06-26 J. Eggers , M. A. Fontelos , D. Leppinen , J. H. Snoeijer

When the intensity of turbulence is increased (by increasing the Reynolds number, e.g. by reducing the viscosity of the fluid), the rate of the dissipation of kinetic energy decreases but does not tend asymptotically to zero: it levels off…

流体动力学 · 物理学 2023-03-08 Luca Galantucci , Em Rickinson , Andrew W. Baggaley , Nick G. Parker , Carlo F. Barenghi

A theory of the collapse of a punctured antibubble is developed. The motion of the rim of air formed at the edge of the collapsing air film cannot be described by a potential flow and is characterized by high Reynolds numbers. The rim…

流体动力学 · 物理学 2015-03-16 Denis Nikolaevich Sob'yanin

In this video, we present the dynamics of an array of falling particles at intermediate Reynolds numbers. The film shows the vorticity plots of 3, 4, 7, 16 falling particles at $Re = 200$. We highlight the effect of parity on the falling…

流体动力学 · 物理学 2010-10-20 Acmae El Yacoubi , Sheng Xu , Z. Jane Wang

The non-linear dynamics of driven oscillations in the size of a spherical bubble are mapped to the dynamics of a Newtonian particle in a potential within the incompressible liquid regime. The compressible liquid regime, which is important…

流体动力学 · 物理学 2024-12-30 Uri Shimon , Ady Stern

In this paper, the size of bubbles formed through the breakup of a gaseous jet in a co-axial microfluidic device is derived. The gaseous jet surrounded by a co-flowing liquid stream breaks up into monodisperse microbubbles and the size of…

流体动力学 · 物理学 2011-06-08 Wim van Hoeve , Benjamin Dollet , José M. Gordillo , Michel Versluis , Detlef Lohse

The fate of deformable buoyancy-driven bubbles rising near a vertical wall under highly inertial conditions is investigated numerically. In the absence of path instability, simulations reveal that when the Galilei number, $Ga$, which…

流体动力学 · 物理学 2025-06-25 Pengyu Shi , Jie Zhang , Jacques Magnaudet
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