Principles of Powder Mechanics

PrefaceAcknowledgmentsChapter 1. Introduction Three Principles Some Definitions Materials Plan of the Monograph Packings Elementary Statics Measurement of Powder Properties Flow Patterns Kinematics Discussion Selection of References to Particle Size and ShapeChapter 2. Packings Bulk Density Wall Effect Closely Graded Spherical Granules Closely Graded Irregular Granules Binary Granular Mixes Mixtures Graded Cohesive Powders Coordination Numbers Radial Distributions Angles of Repose Graded Granular Powders Conical Heap a3 Two-Dimensional Slope a2 Crater Angles áâ Instantaneous Free Surface a, Cohesive Powders Compaction and Moisture Content DiscussionChapter 3. Elementary Statics Plane Stress Analysis The Mohr Circle Diagram The Principal Planes The Equations of Equilibrium Coulomb Powders The Mobilization of Friction The Directions of Sliding The Principal Stresses in Plastic Equilibrium Active and Passive Rankine states The Pressures on a Smooth, Vertical Retaining Wall Active and Passive Failure The Shape of a Self-Supporting Dome over a Circular Aperture Arching in Shallow Beds Arching in Deep Beds Janssen's Equation for the Pressure in a Tall Bin Practical Observations Experimental Evidence Relating to Janssen's Equation Pressures Measured in Hoppers DiscussionChapter 4. Measurement of Powder Properties Friction and Cohesion Tensile Strength Shear Strength Dilatancy Ready Sliding The Shear Cell Yield Locus The Critical Voids Ratio Summary Wall Friction and Adhesion DiscussionChapter 5. Flow Patterns and Segregation Introduction Flow Patterns Experimental Methods Scaling of Models Discharge of a Powder from a Cylindrical Bin Discharge of a Granular Powder from a Flat Bin Surfaces of Sliding Discharge of Beads from a Conical Hopper Flow Regulators Flow through Chutes Discussion Segregation and Percolation Size Segregation Density Segregation PercolationChapter 6. Kinematics Introduction Dilatant Waves Free-Fall Arch Stream Tubes Radial Flow Angles of Approach Discussion Energy Dissipation Postulate Minimum Energy Theorem The Statistically Empty Space Mass Flow Rate in a Symmetrical Wedge Mass Flow Rate in an Asymmetrical Wedge Mass Flow Rate in a Cone Mass Flow Rates Some General Observations Experimental Method Analysis of Data Effect of Width of Vessel Flow through Circular Apertures from Wide Vessels Flow through Jets The Effect of Restricting Air Entry Flow from Flat-Bottomed Vessels through Central Slots Two Regimes of Flow from troughs through Slots Blocked and Obstructed Apertures The Empty Annulus Blocked and Obstructed Apertures DiscussionChapter 7. ConclusionBibliographyIndex of NamesSubject IndexOther Titles in the Series