I.U.T.A.M. Symposium on Nonlinear Waves in Multi-Phase Flow: Proceedings of the I.U.T.A.M. Symposium held in Notre Dame, U.S.A., 7-9 July 1999

The active field of multi-phase flow has undergone fundamental changes in the last decade. Many salient complex interfacial dynamics of such flows are now understood at a basic level with precise mathematical and quantitative characterization. This is quite a departure from the traditional empirical approach. At an IUTAM Symposium at Notre Dame, in 1999, some of the leading researchers in the field gathered to review the progress thus far and to contemplate future directions. Their reports are summarized in this Proceedings. Topics covered include solitary wave dynamics on viscous film flows, sheet formation and drop entrainment in stratified flow, wetting and dewetting dynamics, self-similar drop formation dynamics, waves in bubbly and suspension flow, and bubble dynamics. It is a unique and essential reference for applied mathematicians, physicists, research engineers, and graduate students to keep abreast of the latest theoretical and numerical developments that promise to transform multi-phase flow research. Front Matter....Pages i-ix Wavy Falling Liquid Films: Theory and Computation Instead of Physical Experiment....Pages 1-10 Nonlinear Theory of Control of Instability in a Liquid Film Flow....Pages 11-20 Coarsening Dynamics of Roll Waves....Pages 21-31 Oscillatory Shear Stress Induced Stabilization of Thin Film Instabilities....Pages 33-43 Experimental and Modeling Studies of Wave Occlusion and Evolution on Free Falling Viscous Films in a Vertical Pipe....Pages 45-55 Nonlinear Waves and (Dissipative) Solitons in Thin Liquid Layers Subjected to Surfactant Gradients....Pages 57-67 On Saturation of Rayleigh-Taylor Instability....Pages 69-79 Weakly-Nonlinear Waves in Two-Layer Flows: Subcritical Bifurcations....Pages 81-92 Interactions between Interfacial Travelling Waves and a Long Wave Mean Flow Mode in Two-Layer Couette Flow....Pages 93-104 Wave Formation and Drop Emission in a Hele-Shaw Cell....Pages 105-116 Numerical Simulation of Two-Fluid Flows of Viscous Immiscible Liquids....Pages 117-126 The Linear Stability of a Core Annular Flow in a Corrugated Tube....Pages 127-137 Cusp Formation and Tip-Streaming Instabilities for Time-Evolving Interfaces in Two-Dimensional Stokes Flow....Pages 139-148 Bubble Propagation in a Flexible-Walled Channel....Pages 149-157 Bubble Rising in an Inclined Channel....Pages 159-173 Mobility Control of Surfactant-Retarded Bubbles at Small and Order One Reynolds Numbers....Pages 175-184 Spinning Jets....Pages 185-193 Three Attempts on Dry Wetting....Pages 195-203 Dewetting of a Hot Coated Solid Surface....Pages 205-216 Thermocapillary Droplet Migration and Instability....Pages 217-228 Pressure Waves and Voidage Waves in Bubbly Liquids....Pages 229-237 Modelling Gas-Liquid Flow through Pipes of Variable Cross-Section....Pages 239-249 One-Dimensional Waves in Liquids Containing Bubbles Flowing along a Tube with an Elastic Wall....Pages 251-260 Effective Equations for Flows with Drifting and Oscillating Bubbles....Pages 261-267 Erratum to: Bubble Propagation in a Flexible-Walled Channel....Pages 271-271 Erratum to: Thermocapillary Droplet Migration and Instability....Pages 271-271 Erratum to: Effective Equations for Flows with Drifting and Oscillating Bubbles....Pages 271-271 Back Matter....Pages 269-272