This page intentionally left blank Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group, an informa business Unit Operations of Particulate Solids Theory and Practice Enrique Ortega-Rivas Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group, an informa business This page intentionally left blank Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group, an informa business CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2012 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Printed in the United States of America on acid-free paper Version Date: 20110608 International Standard Book Number: 978-1-4398-4907-1 (Hardback) This book contains information obtained from authentic and highly regarded sources. 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Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Contents Preface ...................................................................................................................xiii Author ..................................................................................................................xvii Part I Characterization of Particulate Systems and Relation to Storage and Conveying 1 Introduction .....................................................................................................3 1.1 Definitions of Unit Operations ............................................................3 1.2 Powder and Particle Technology ........................................................6 1.3 The Solid State: Main Distinctive Properties ....................................7 1.3.1 Primary Properties ..................................................................8 1.3.1.1 Particle Size and Shape ............................................9 1.3.1.2 Particle Density.......................................................18 1.3.2 Packing Properties .................................................................23 1.3.2.1 Bulk Density ............................................................23 1.3.2.2 Other Packing Properties ......................................26 References .......................................................................................................29 2 Bulk Solids: Properties and Characterization ........................................31 2.1 Introductory Aspects ..........................................................................31 2.2 Classification of Powders ...................................................................32 2.2.1 Jenike’s Classification ............................................................33 2.2.2 Geldart’s Classification..........................................................34 2.3 Sampling...............................................................................................37 2.4 Failure Properties ................................................................................48 2.4.1 Introduction ............................................................................48 2.4.2 Description of Failure Properties ........................................50 2.4.3 Experimental Determinations .............................................50 2.4.4 Other Important Properties ..................................................61 2.5 Laboratory Exercise: Determination of Some Failure Properties of Powders ...........................................................65 2.5.1 Introduction ............................................................................65 2.5.2 Instrument and Materials .....................................................66 2.5.3 Shear Tester Operation ..........................................................66 2.5.4 Calculations and Report .......................................................67 2.6 Particle Size Analysis .........................................................................67 2.6.1 Introduction ............................................................................67 2.6.2 Definitions of Characteristic Linear Dimension ...............68 2.6.3 Types of Distributions ...........................................................68 v vi Contents 2.6.4 Measures of Central Tendency.............................................69 2.6.5 Presentation of Data ..............................................................71 2.6.6 Laboratory Techniques for Size Measurement ..................76 2.6.6.1 Microscopy ..............................................................77 2.6.6.2 Screening .................................................................77 2.6.6.3 Sedimentation .........................................................81 2.6.6.4 Centrifugation.........................................................82 2.6.6.5 Light Diffraction .....................................................85 2.6.6.6 Particle Counters ....................................................85 2.6.6.7 Online Measurement Techniques ........................86 2.7 Laboratory Exercise: Particle Size Analysis by Different Methods ...............................................................................89 2.7.1 Introduction ............................................................................89 2.7.2 Materials and Instruments ...................................................90 2.7.3 Accessories ..............................................................................90 2.7.4 Microscopy Method ...............................................................91 2.7.4.1 Introduction ............................................................91 2.7.4.2 Slide Preparation ....................................................91 2.7.4.3 Measurement of Particle Size ...............................91 2.7.4.4 Procedure ................................................................91 2.7.4.5 Calculations and Report ........................................92 2.7.5 Screening Method ..................................................................92 2.7.5.1 Introduction ............................................................92 2.7.5.2 Choice of Sieves ......................................................92 2.7.5.3 Procedure ................................................................93 2.7.5.4 Calculations and Report ........................................93 2.7.6 Sedimentation Method..........................................................93 2.7.6.1 Introduction ............................................................93 2.7.6.2 Preparation of Sample ...........................................94 2.7.6.3 Procedure ................................................................94 2.7.6.4 Calculations and Report ........................................94 2.7.7 Instrumental Method ............................................................95 2.7.7.1 Introduction ............................................................95 2.7.7.2 Procedure ................................................................95 2.7.7.3 Calculations and Report ........................................95 References .......................................................................................................97 3 Storage and Conveying of Bulk Solids ..................................................101 3.1 Introduction: Storage Alternatives .................................................101 3.2 Outdoors Storage ...............................................................................101 3.3 Confined Storage ...............................................................................102 3.3.1 General Considerations .......................................................103 3.3.2 Types of Silos ........................................................................104 3.3.3 Wall Stresses in Axisymmetrical Bins ..............................108 3.3.4 Wall Stresses in Other Types of Vessels ...........................112 Contents vii 3.3.5 Natural Discharge from Silos ............................................112 3.3.5.1 Flow Theories ........................................................113 3.3.5.2 Hopper Opening for Coarse Bulk Solids ..........116 3.3.5.3 Hopper Opening for Fine Bulk Solids ..............120 3.3.6 Assisted Discharge ..............................................................123 3.3.6.1 Types of Discharge ...............................................123 3.3.6.2 Passive Devices .....................................................123 3.3.6.3 Active Devices ......................................................123 3.3.7 Feeders for Discharge Control ...........................................127 3.3.7.1 Feeders Description .............................................127 3.3.7.2 Charge and Power Calculations .........................128 3.3.7.3 Discharge Control in Feeders .............................130 3.3.8 Other Design Factors ...........................................................130 3.4 Laboratory Exercise: Evaluation of Wall Loads in Silos ..............134 3.4.1 Introduction ..........................................................................134 3.4.2 Equipment and Materials ...................................................134 3.4.3 Instruments and Apparatuses ...........................................134 3.4.4 Procedure ..............................................................................134 3.4.5 Calculations and Report .....................................................135 3.5 Bulk Solids Conveying .....................................................................135 3.5.1 Introduction ..........................................................................135 3.5.2 Belt Conveyors ......................................................................136 3.5.3 Chain Conveyors ..................................................................143 3.5.3.1 Scraper and Apron Conveyors ...........................145 3.5.3.2 Bucket Elevators ...................................................148 3.5.4 Screw Conveyors ..................................................................151 3.5.5 Pneumatic Conveying .........................................................155 3.5.5.1 Introduction: Types of Conveyors ......................155 3.5.5.2 Dense-Phase Systems ..........................................157 3.5.5.3 Dilute-Phase Systems ...........................................159 3.5.5.4 Design and Selection of Dilute-Phase Systems ...........................................163 3.6 Laboratory Exercise: Pneumatic Conveying Characteristics of Different Granules ............................................171 3.6.1 Introduction ..........................................................................171 3.6.2 Equipment and Materials ...................................................171 3.6.3 Procedure ..............................................................................171 3.6.4 Calculations and Report .....................................................172 References .....................................................................................................173 Part II Bulk Solids Processing 4 Size Reduction .............................................................................................179 4.1 Fundamental Principles of Comminution .....................................179 viii Contents 4.1.1 Introductory Aspects...........................................................179 4.1.2 Forces Involved in Size Reduction.....................................180 4.1.3 Properties of Comminuted Materials ...............................181 4.2 Energy Requirements in Comminution ........................................182 4.2.1 Rittniger’s Law .....................................................................183 4.2.2 Kick’s Law .............................................................................183 4.2.3 Bond’s Law and Work Index ..............................................184 4.3 Size Reduction Equipment ...............................................................184 4.3.1 Classification .........................................................................184 4.3.2 Characteristics ......................................................................184 4.3.2.1 Crushers .................................................................185 4.3.2.2 Rollers Mills ..........................................................188 4.3.2.3 Hammer Mills ......................................................189 4.3.2.4 Disc Attrition Mills ..............................................189 4.3.2.5 Tumbling Mills .....................................................191 4.3.2.6 Other Types of Mills ............................................192 4.3.3 Operation of Equipment .....................................................195 4.4 Criteria for Selecting Size Reduction Processes ...........................200 4.4.1 Characteristics of Raw Materials .......................................201 4.4.2 Feeding and Discharge Control .........................................201 4.4.3 Moisture ................................................................................202 4.4.4 Heat Generation and Removal ...........................................202 4.4.5 Summary of Criteria and Main Applications ..................203 4.5 Laboratory Exercise: Determination of Reduction Relations Using a Hammer Mill ..................................204 4.5.1 Introduction ..........................................................................204 4.5.2 Equipment and Materials ...................................................204 4.5.3 Instruments...........................................................................205 4.5.4 Screen Analysis ....................................................................205 4.5.5 Operation of the Hammer Mill ..........................................205 4.5.6 Calculations and Report .....................................................205 References .....................................................................................................206 5 Size Enlargement ........................................................................................207 5.1 Introduction: Agglomeration Processes ........................................207 5.2 Aggregation Fundamentals: Strength of Agglomerates .............207 5.3 Agglomeration Methods ..................................................................212 5.3.1 Tumbling Agglomeration ...................................................212 5.3.2 Pressure Agglomeration: Compaction ..............................214 5.3.3 Equipment Operation Variables ........................................216 5.4 Selection Criteria for Agglomeration Methods.............................219 5.4.1 Raw Materials Characteristics ...........................................219 5.4.2 Product Properties ...............................................................221 5.4.3 Technique Options...............................................................221 5.5 Design Aspects of Agglomeration Processes ................................222 Contents ix 5.6 Applications .......................................................................................224 5.7 Laboratory Exercise: Comparing Methods for Tumbling Agglomeration of Powders ............................................224 5.7.1 Introduction ..........................................................................224 5.7.2 Equipment and Materials ...................................................225 5.7.3 Instruments...........................................................................225 5.7.4 Measurement of Particle Size Distributions ....................225 5.7.5 Operation of the Drum Agglomerator ..............................225 5.7.6 Operation of the Pan (Disc) Agglomerator .......................225 5.7.7 Friability Test ........................................................................226 5.7.8 Calculations and Report .....................................................226 References .....................................................................................................226 6 Mixing ...........................................................................................................229 6.1 Introduction .......................................................................................229 6.2 Blending Mechanisms ......................................................................230 6.3 Statistical Approach of Mixing Processes .....................................231 6.3.1 Sampling ...............................................................................232 6.3.2 Blending Quality: Mixing Indexes and Mixing Rate ......................................233 6.4 Mixing Equipment ............................................................................239 6.4.1 Tumbling Mixers ..................................................................239 6.4.2 Horizontal Trough Mixers ..................................................240 6.4.3 Vertical Screw Mixers ..........................................................241 6.5 Design and Selection Factors ...........................................................241 6.6 Laboratory Exercise: Determination of Blending Indices for Different Tumbling Mixers ..........................................244 6.6.1 Introduction ..........................................................................244 6.6.2 Equipment and Materials ...................................................244 6.6.3 Instruments or Apparatuses ..............................................244 6.6.4 Operation of the Mixers ......................................................245 6.6.5 Calculations and Report .....................................................245 References .....................................................................................................246 7 Fluidization ..................................................................................................249 7.1 Theoretical Fundamentals ...............................................................249 7.1.1 Bulk Density and Porosity of Beds ....................................250 7.1.2 Fluid Flow through Solids Beds ........................................250 7.1.3 Mechanism of Fluidization: Aggregative and Particulate ...............................................251 7.2 Fluidized Regimes ............................................................................253 7.2.1 Pressure Drop–Velocity Relationship ...............................254 7.2.2 Incipient Fluidization and Minimum Fluidizing Velocity ...........................................256 7.2.3 Heterogeneous Fluidization: Bubbling .............................261
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