Principles of Powder Mechanics

Principles of Powder Mechanics

Essays on the Packing and Flow of Powders and Bulk Solids

1st Edition - January 1, 1970

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  • Authors: R. L. Brown, J. C. Richards
  • eBook ISBN: 9781483145655

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International Series of Monographs in Chemical Engineering, Volume 10: Principles of Powder Mechanics: Essays on the Packing and Flow of Powders and Bulk Solids covers topics on packings; elementary statics; measurement of powder properties; flow patterns and segregation; and kinematics.

Table of Contents

  • Preface


    Chapter 1. Introduction

    Three Principles

    Some Definitions


    Plan of the Monograph


    Elementary Statics

    Measurement of Powder Properties

    Flow Patterns



    Selection of References to Particle Size and Shape

    Chapter 2. Packings

    Bulk Density

    Wall Effect

    Closely Graded Spherical Granules

    Closely Graded Irregular Granules

    Binary Granular Mixes


    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


    Chapter 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


    Chapter 4. Measurement of Powder Properties

    Friction and Cohesion

    Tensile Strength

    Shear Strength


    Ready Sliding

    The Shear Cell

    Yield Locus

    The Critical Voids Ratio


    Wall Friction and Adhesion


    Chapter 5. Flow Patterns and Segregation


    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


    Segregation and Percolation

    Size Segregation

    Density Segregation


    Chapter 6. Kinematics


    Dilatant Waves

    Free-Fall Arch

    Stream Tubes

    Radial Flow

    Angles of Approach


    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


    Chapter 7. Conclusion


    Index of Names

    Subject Index

    Other Titles in the Series

Product details

  • No. of pages: 236
  • Language: English
  • Copyright: © Pergamon 1970
  • Published: January 1, 1970
  • Imprint: Pergamon
  • eBook ISBN: 9781483145655

About the Authors

R. L. Brown

J. C. Richards

About the Editor

P. V. Danckwerts

Affiliations and Expertise

University of Cambridge, UK

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