Two Phase Flows and Waves

✍ Scribed by G. W. Baxter, R. P. Behringer, T. Fagert, G. A. Johnson (auth.), Daniel D. Joseph, David G. Schaeffer (eds.)

• Publisher: Springer-Verlag New York
• Year: 1990
• Tongue: English
• Leaves: 175
• Series: The IMA Volumes in Mathematics and Its Applications 26
• Edition: 1
• Category: Library

✦ Synopsis

This IMA Volume in Mathematics and its Applications TWO PHASE FLOWS AND WAVES is based on the proceedings of a workshop which was an integral part of the 1988-89 IMA program on NONLINEAR WAVES. The workshop focussed on the development of waves in flowing composites. We thank the Coordinating Commit­ tee: James Glimm, Daniel Joseph, Barbara Keyfitz, Andrew Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for planning and implementing the stimulating year-long program. We especially thank the Workshop Organizers, Daniel D. Joseph and David G. Schaeffer for their efforts in bringing together many of the major figures in those research fields in which modelling of granular flows and suspensions is used. Avner Friedman Willard Miller, Jr. PREFACE This Workshop, held from January 3-10,1989 at IMA, focused on the properties of materials which consist of many small solid particles or grains. Let us distinguish the terms granular material and suspension. In the former, the material consists exclusively of solid particles interacting through direct contact with one another, either sustained frictional contacts in the case of slow shearing or collisions in the case of rapid shearing. In suspensions, also called two phase flow, the grains interact with one another primarily through the influence of a viscous fluid which occupies the interstitial space and participates in the flow. (As shown by the lecture of I. Vardoulakis (not included in this volume), the distinction between these two idealized cases is not always clear.

✦ Table of Contents

Front Matter....Pages i-xi
Pattern Formation and Time-Dependence in Flowing Sand....Pages 1-29
The Mathematical Structure of the Equations for Quasi-Static Plane Strain Deformations of Granular Material....Pages 30-44
Relation of Microstructure to Constitutive Equations....Pages 45-55
The Velocity of Dynamic Waves in Fluidised Beds....Pages 56-69
Transport Processes in Concentrated Suspensions: The Role of Particle Fluctuations....Pages 70-79
Stress in Dilute Suspensions....Pages 80-87
Computations of Granular Flow in a Hopper....Pages 88-97
Stability of Two-Phase Flow Models....Pages 98-117
Mathematical Issues in the Continuum Formulation of Slow Granular Flow....Pages 118-129
One-Dimensional, Particle Bed Models of Fluidized Suspensions....Pages 130-149
On Geurst’s Equations for Inertial Coupling in Two-Phase Flow....Pages 150-164

✦ Subjects

Analysis; Fluid- and Aerodynamics; Theoretical, Mathematical and Computational Physics