An introduction to granular flow

Abstract

Preface. 1. Introduction 2. Theory for slow plane flow 3. Flow through hoppers 4. Flow through wedge-shaped bunkers 5. Theory for slow three-dimensional flow 6. Flow through axisymmetric hoppers and bunkers 7. Theory for rapid flow of smooth, inelastic particles 8. Analysis of rapid flow in simple geometries 9. Theory for rapid flow of rough, inelastic particles 10. Hybrid theories A. Operations with vectors and tensors B. The stress tensor C. Hyperbolic partial differential equations of first order D. Jump balances E. Discontinuous solutions of hyperbolic equations F. Proof of the coaxiality condition G. Material frame-indifference H. The evaluation of some integrals I. Linear stability J. Pseudoscalars, vectors, and tensors K. Answers to selected problems References.