Free surface flows arise in the natural world, physical and biological sciences and in some areas of modern technology and engineering. Exam ples include the breaking of sea waves on a harbour wall, the transport of sloshing fluids in partly filled containers, and the design of micronozzles for high speed ink-jet printing. Apart from the intrinsic mathematical challenge in describing and solving the governing equations, there are usually important environmental, safety and engineering features which need to be analysed and controlled. A rich variety of techniques has been developed over the past two decades to facilitate this analysis; singular perturbations, dynamical systems, and the development of sophisticated numerical codes. The extreme and sometimes violent nature of some free surface flows taxes these methods to the limit. The work presented at the symposium addressed these limits and can be loosely classified into four areas: (i) Axisymmetric free surface flows. There are a variety of problems in the printing, glass, fertiliser and fine chemical industries in which threads of fluid are made and controlled. Presentations were made in the areas of pinch-off for inviscid and viscous threads of fluid, recoil effects after droplet formation and the control of instability by forced vibration. (ii) Dynamic wetting. The motion of three phase contact lines, which are formed at the junction between two fluids and a solid, plays an important role in fluid mechanics.

Klappentext

This book contains a collection of papers presenting the state-of-the-art of research in the generic area of free surface flows. This includes water waves, bubbles, contact lines and axisymmetric liquid bridges. As well as contributed technical papers, there are four survey papers written by leading international experts, who spell out what progress has been made in the subject over the past decade and what remains as outstanding.

Inhalt
to Bubble Dynamics Papers at IUTAM Symposium on 'Free Surface Flows'.- Thin-Film Flows and High-Order Degenerate Parabolic Equations.- Dynamic Wetting: Issues Resolved and Raised.- Water Waves and Related Free-Surface Flows.- Parametrically Amplified 2-Dimensional Solitary Waves.- Zero Gravity Sloshing.- Fluid Mechanics of Single Cavitation Bubble Luminescence.- Violently Erupting Free-Surface Jets.- Instability of Two-Dimensional Standing Faraday Waves.- The Recoil of a Broken Liquid Bridge.- A Numerical Model of Gas-Liquid-Solid Contact Line.- An Integrable Model for Undular Bores on Shallow Water.- A Bubble Rising in Viscous Fluid: Lagrange's Equations for Motion at a High Reynolds Number.- The Bretherton Problem III Elastic-Walled Channels: Finite Reynolds Number Effects.- Contact Angles and van der Waals Forces.- Thermocapillary Effects on a Thin Rivulet Draining down a Heated or Cooled Substrate.- Bubble Propagation in Flexible Channels with Permeable Walls.- Very Fast Wetting in the Presence of Soluble Gases.- The Spreading of Power-Law Fluids.- Instabilities in the Flow of Thin Liquid Films.- Laser-Induced Bubbles in Cavitation Research.- Water Flow due to a Rapid Part-Submerged Body Movement.- Similarity Solutions for Capillary Pinch-off in Viscous Fluids.- Vertical Jets from Standing Waves: the Bazooka Effect.- Interactions between Water Waves and Singularities.- Coating of Substrates with Small Imperfections.- Large Amplitude Axisymmetric Capillary Waves.- Ice Waves Generated by a Moving Load 229.- The Late Stages of Approach of Liquid-Liquid Interfaces to Smooth Probes: Rupture by Asperities.- Vapor Bubbles in Flow and Acoustic Fields.- The Influence of Surfactants on Wetting Dynamics.- Long-Time Draining of Thin Liquid Films in Buckled Lung Airways.-Dynamics of an Explosion Bubble Close to a Deformable Structure.- Coalescence and Breakup: Solutions without Singularities.- Flow in Spiral Channels of Small Curvature and Torsion.- Sonoluminescence III Alcohol Contaminated Water: A Drunken Bubble.- Some Aspects of the Motion of Two Laser-Produced Cavitation Bubbles near a Free Surface.- Ship-Wave Patterns in the Spirit of Michell.- Waves with Constant Vorticity.- Interaction of Laser-Produced Cavitation Bubbles with Elastic Boundaries.- The Trajectory and Stability of a Spiralling Liquid Jet.- Moving Contact-Line Models and the Effect of Hydrodynamic Assist of Dynamic Wetting.- 3D Toroidal Bubbles near a Rigid Wall.