Two Phase Flows and Waves
By: edited by Daniel D. Joseph, David G. Schaeffer
Contributors: Schaeffer, David G.
Series: The IMA Volumes in Mathematics and Its Applications -- 26; IMA volumes in mathematics and its applications -- 26.
Publisher: Springer New York
Published: 1990
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 164
ISBN-13: 9781461390244; 9781461390220
Subjects: Mathematics; Global analysis (Mathematics)
Description: This Workshop, held from January 3-10, 1989 at IMA, focused on the properties of materials which consist of many small particles or grains. These include granular materials, in which the particles interact through direct contact, and suspensions or two phase materials, in which particles interact through the influence of the surrounding viscous fluids. Such materials are important in many industrial and geological applications, especially fluidized beds. This volume contains ad vanced scientific papers in this rapidly developing subject by authors from several different disciplines (e.g., engineering, physics, mathematics). Some papers attempt to derive continuum constitutive behavior from micromechanics. Others analyze theoretically or solve numerically the partial differential equations which result when an ad hoc constitutive law is assumed. Experimental phenomena exhibited by such materials are reported in other papers. Still other consider the application to fluidized beds.
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Table of contents: title: Foreword; title: Preface; title: Pattern Formation and Time-dependence in Flowing Sand; title: The Mathematical Structure of the Equations for Quasi-static Plane Strain Deformations of Granular Material; title: Relation of Microstructure to Constitutive Equations; title: The Velocity of Dynamic Waves in Fluidised Beds; title: Transport Processes in Concentrated Suspensions: The Role of Particle Fluctuations; title: Stress in Dilute Suspensions; title: Computations of Granular Flow in a Hopper; title: Stability of Two-phase Flow Models; title: Mathematical Issues in the Continuum Formulation of Slow Granular Flow; title: One-dimensional, Particle Bed Models of Fluidized Suspensions; title: On Geurst's Equations for Inertial Coupling in Two-phase Flow.