IUTAM Symposium on Nonlinear Waves in Multi-Phase Flow

1. Front Matter

   Pages i-ix

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2. Thin-Film Waves

   1. Wavy Falling Liquid Films: Theory and Computation Instead of Physical Experiment

      • Victor Ya. Shkadov, Gregory M. Sisoev

      Pages 1-10

   2. Nonlinear Theory of Control of Instability in a Liquid Film Flow

      • S. P. Lin

      Pages 11-20

   3. Coarsening Dynamics of Roll Waves

      • Hsueh-Chia Chang, Evgeny A. Demekhin

      Pages 21-31

   4. Oscillatory Shear Stress Induced Stabilization of Thin Film Instabilities

      • David Halpern, James B. Grotberg

      Pages 33-43

   5. Experimental and Modeling Studies of Wave Occlusion and Evolution on Free Falling Viscous Films in a Vertical Pipe

      • E. K. Dao, L. T. Nguyen, V. Balakotaiah

      Pages 45-55

   6. Nonlinear Waves and (Dissipative) Solitons in Thin Liquid Layers Subjected to Surfactant Gradients

      • Manuel G. Velarde, Alex Ye. Rednikov

      Pages 57-67

   7. On Saturation of Rayleigh-Taylor Instability

      • Alexander L. Frenkel, David Halpern

      Pages 69-79

3. Two-Layer Waves

   1. Weakly-Nonlinear Waves in Two-Layer Flows: Subcritical Bifurcations

      • M. J. McCready, M. R. King, B. D. Woods

      Pages 81-92

   2. Interactions between Interfacial Travelling Waves and a Long Wave Mean Flow Mode in Two-Layer Couette Flow

      • F. Charru

      Pages 93-104

   3. Wave Formation and Drop Emission in a Hele-Shaw Cell

      • Marc Rabaud, Laurent Meignin, Philippe Gondret

      Pages 105-116

   4. Numerical Simulation of Two-Fluid Flows of Viscous Immiscible Liquids

      • Yuriko Y. Renardy, Jie Li

      Pages 117-126

   5. The Linear Stability of a Core Annular Flow in a Corrugated Tube

      • Hsien-Hung Wei, David S. Rumschitzki

      Pages 127-137

4. Bubbles and Jets

   1. Cusp Formation and Tip-Streaming Instabilities for Time-Evolving Interfaces in Two-Dimensional Stokes Flow

      • Michael Siegel

      Pages 139-148

   2. Bubble Propagation in a Flexible-Walled Channel

      • O. E. Jensen, M. K. Horsburgh, D. P. Gaver III

      Pages 149-157

   3. Bubble Rising in an Inclined Channel

      • Kevin M. Debisschop, Michael J. Miksis

      Pages 159-173

   4. Mobility Control of Surfactant-Retarded Bubbles at Small and Order One Reynolds Numbers

      • D. T. Papageorgiou, C. Maldarelli, Y. Wang

      Pages 175-184

   5. Spinning Jets

      • Jens Eggers, Michael P. Brenner

      Pages 185-193

5. Wetting/Dewetting

   1. Three Attempts on Dry Wetting

      • David Quéré, José Bico, Denis Richard

      Pages 195-203

   2. Dewetting of a Hot Coated Solid Surface

      • S. George Bankoff, Alexander Oron

      Pages 205-216

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.

• dynamics
• instability
• solid
• stability
• stress
• waves
• fluid- and aerodynamics

• Department of Chemical Engineering, University of Notre Dame, Notre Dame, USA

  H.-C. Chang

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