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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.
Preface. Committee and Sponsors. Thin-Film Waves. Wavy Falling Liquid Films: Theory and Computation Instead of Physical Experiment; V.Y. Shkadov, G.M. Sisoev. Nonlinear Theory of control of Instability in a Liquid Film Flow; S.P. Lin. Coarsening Dynamics of Roll Waves; H.-C. Chang, E.A. Demekhin. Oscillatory Shear Stress Induced Stabilization of Thin Film Instabilities; D. Halpern, J.B. Grotberg. Experimental and Modeling Studies of Wave Occlusion and Evolution on Free Falling Viscous Films in a Vertical Pipe; E.K. Dao, et al. Nonlinear Waves and (Dissipative) Solitons in Thin-Liquid Layers Subjected to Surfactant Gradients; M.G. Velarde, A.Y. Rednikov. On Saturation of Rayleigh-Taylor Instability; A.L. Frenkel, D. Halpern. Two-Layer Waves. Weakly-Nonlinear Waves in Two-Layer Flows: Subcritical Bifurcations; M.J. McCready, et al. Interactions Between Interfacial Traveling Waves and a Long Wave Mean Flow Mode in Two-Layer Coutette Flow; F. Charru. Wave Formation and Drop Emission in a Hele-Shaw Cell; M. Rabaud, et al. Numerical Simulation of Two-Fluid flows of Viscous Immiscible Liquids; Y.Y. Renardy, J. Li. The Linear Stability of a Core Annular Flow in a Corrugated Tube; H.-H. Wei, D.S. Rumschitzki. Bubbles and Jets. Cusp Formation and Tip-Streaming Instabilities for Time-Evolving Interfaces in Two-Dimensional Stokes Flow; M. Siegel. Bubble Propagation in a Flexible-Walled Channel; O.E. Jensen, et al. Bubble Rising in an Inclined Channel; K.M. Debisschop, M.J. Miksis. Mobility Control of Surfactant-Retarded Bubbles at Small and Order one Reynolds Numbers; D.T. Papageorgiou, et al. Spinning Jets; J. Eggers, M.P. Brenner. Wetting/Dewetting. Three Attempts on Dry Wetting; D. Quere, et al. Dewetting of a Hot Coated Solid Surface; S.G. Bankoff, A. Oron. Thermocapillary Droplet Migration and Instability; M.K. Smith, S.W. Benintendi. Bubbly and Suspension Flows. Pressure Waves and Voidage Waves in Bybbly Liquids; L. van Wijngaarden. Modeling Gas-Liquid Flow Through Pipes of Variable Cross-Section; P.S. Hammond, et al. One-Dimensional Waves in Liquids Containing Bubbles Flowing Along a Tube with an Elastic Wall; A. Crespo, et al. Effective Equations for Flows with Drifting and Oscillating Bubbles; N. Wang, P. Smereka.