| About the Contributors |
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xiii | |
| Preface to the Second Edition |
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xv | |
| Preface to the First Edition |
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xvii | |
| Introduction |
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xxi | |
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1.2 Describing the Size of a Single Particle |
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1.3 Description of Populations of Particles |
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1.4 Conversion Between Distributions |
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1.5 Describing the Population by a Single Number |
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1.7 Common Methods of Displaying Size Distributions |
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1.7.1 Arithmetic-normal Distribution |
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1.7.2 Log-normal Distribution |
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1.8 Methods of Particle Size Measurement |
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1.8.5 Electrozone Sensing |
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2 Single Particles in a Fluid |
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2.1 Motion of Solid Particles in a Fluid |
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2.2 Particles Falling Under Gravity Through a Fluid |
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2.3 Non-Spherical Particles |
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2.4 Effect of Boundaries on Terminal Velocity |
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35 | |
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3 Multiple Particle Systems |
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51 | |
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3.1 Settling of a Suspension of Particles |
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53 | |
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3.2.1 Settling Flux as a Function of Suspension Concentration |
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3.2.2 Sharp Interfaces in Sedimentation |
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3.2.3 The Batch Settling Test |
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3.2.4 Relationship Between the Height –Time Curve and the Flux Plot |
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3.3.1 Settling of a Suspension in a Flowing Fluid |
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3.3.2 A Real Thickener (with Upflow and Downflow Sections) |
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3.3.3 Critically Loaded Thickener |
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3.3.4 Underloaded Thickener |
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3.3.5 Overloaded Thickener |
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3.3.6 Alternative Form of Total Flux Plot |
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91 | |
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4.3 Rheological Models For Homogeneous Slurries |
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4.3.1 Non-Newtonian Power-law Models |
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4.3.2 Pressure Drop Prediction for Slurries Exhibiting Power-law Rheology |
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4.3.3 Non-Newtonian Yield Stress Models |
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4.3.4 Pressure Drop Prediction for Slurries Exhibiting Bingham Plastic Rheology |
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101 | |
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4.4 Heterogeneous Slurries |
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4.4.1 Critical Deposition Velocity |
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4.5 Components of a Slurry Flow System |
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109 | |
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109 | |
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114 | |
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5 Colloids and Fine Particles |
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117 | |
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118 | |
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120 | |
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5.3.1 van der Waals Forces |
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5.3.2 Electrical Double Layer Forces |
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124 | |
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5.3.3 Adsorbing Polymers, Bridging and Steric Forces |
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127 | |
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128 | |
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5.3.5 Net Interaction Force |
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129 | |
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5.4 Result of Surface Forces on Behaviour in Air and Water |
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130 | |
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5.5 Influences of Particle Size and Surface Forces on Solid/Liquid Separation by Sedimentation |
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132 | |
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132 | |
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5.5.2 Sediment Concentration and Consolidation |
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133 | |
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134 | |
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5.7 Influence of Surface Forces on Suspension Flow |
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6 Fluid Flow Through a Packed Bed of Particles |
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153 | |
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6.1 Pressure Drop — Flow Relationship |
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153 | |
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153 | |
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155 | |
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6.1.3 General Equation for Turbulent and Laminar Flow |
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6.1.4 Non-spherical Particles |
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156 | |
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157 | |
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6.2.2 Incompressible Cake |
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6.2.3 Including the Resistance of the Filter Medium |
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7.2 Relevant Powder and Particle Properties |
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172 | |
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7.3 Bubbling and Non-Bubbling Fluidization |
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173 | |
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7.4 Classification of Powders |
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174 | |
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7.5 Expansion of a Fluidized Bed |
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7.5.1 Non-bubbling Fluidization |
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178 | |
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7.5.2 Bubbling Fluidization |
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180 | |
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182 | |
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7.7 Heat Transfer in Fluidized Beds |
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186 | |
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7.7.1 Gas — Particle Heat Transfer |
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186 | |
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7.7.2 Bed —Surface Heat Transfer |
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188 | |
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7.8 Applications of Fluidized Beds |
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191 | |
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191 | |
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191 | |
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7.9 A Simple Model for the Bubbling Fluidized Bed Reactor |
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194 | |
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7.10 Some Practical Considerations |
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198 | |
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198 | |
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7.10.2 Loss of Fluidizing Gas |
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205 | |
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8 Pneumatic Transport and Standpipes |
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211 | |
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8.1.1 Dilute Phase and Dense Phase Transport |
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212 | |
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8.1.2 The Choking Velocity in Vertical Transport |
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212 | |
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8.1.3 The Saltation Velocity in Horizontal Transport |
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214 | |
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215 | |
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8.1.5 Design for Dilute Phase Transport |
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219 | |
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8.1.6 Dense Phase Transport |
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224 | |
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8.1.7 Matching the System to the Powder |
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230 | |
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231 | |
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8.2.1 Standpipes in Packed Bed Flow |
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8.2.2 Standpipes in Fluidized Bed Flow |
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232 | |
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8.2.3 Pressure Balance During Standpipe Operation |
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235 | |
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237 | |
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237 | |
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243 | |
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244 | |
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9 Separation of Particles from a Gas: Gas Cyclones |
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247 | |
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9.1 Gas Cyclones — Description |
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248 | |
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249 | |
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9.3 Efficiency of Separation |
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249 | |
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9.3.1 Total Efficiency and Grade Efficiency |
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249 | |
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9.3.2 Simple Theoretical Analysis for the Gas Cyclone Separator |
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250 | |
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9.3.3 Cyclone Grade Efficiency in Practice |
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252 | |
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253 | |
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255 | |
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9.6 Some Practical Design and Operation Details |
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257 | |
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9.6.1 Effect of Dust Loading on Efficiency |
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257 | |
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9.6.4 Attrition of Solids |
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258 | |
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258 | |
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9.6.6 Discharge Hoppers and Diplegs |
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258 | |
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259 | |
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9.6.8 Cyclones in Parallel |
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259 | |
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259 | |
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262 | |
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263 | |
| 10 Storage and Flow of Powders—Hopper Design |
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265 | |
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265 | |
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10.2 Mass Flow and Core Flow |
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265 | |
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10.3 The Design Philosophy |
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268 | |
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10.3.1 Flow—No Flow Criterion |
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268 | |
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10.3.2 The Hopper Flow Factor, ff |
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269 | |
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10.3.3 Unconfined Yield Stress, σy |
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269 | |
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10.3.4 Powder Flow Function |
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269 | |
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10.3.5 Critical Conditions for Flow |
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270 | |
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10.3.6 Critical Outlet Dimension |
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270 | |
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271 | |
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272 | |
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10.5 Analysis of Shear Cell Test Results |
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274 | |
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10.5.1 Mohr's Circle—in Brief |
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274 | |
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10.5.2 Application of Mohr's Circle to Analysis of the Yield Locus |
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274 | |
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10.5.3 Determination of σy and σc |
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c275 | |
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10.5.4 Determination of δ from Shear Cell Tests |
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276 | |
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10.5.5 The Kinematic Angle of Friction between Powder and Hopper Wall Φw |
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276 | |
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10.5.6 Determination of the Hopper Flow Factor, ff |
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277 | |
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10.6 Summary of Design Procedure |
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278 | |
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281 | |
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10.8 Pressure on the Base of a Tall Cylindrical Bin |
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281 | |
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| 11 Mixing and Segregation |
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293 | |
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293 | |
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11.3.1 Causes and Consequences of Segregation |
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294 | |
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11.3.2 Mechanisms of Segregation |
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295 | |
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11.4 Reduction of Segregation |
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298 | |
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11.5 Equipment for Particulate Mixing |
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299 | |
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11.5.1 Mechanisms of Mixing |
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299 | |
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11.6 Assessing the Mixture |
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11.6.1 Quality of a Mixture |
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11.6.3 Statistics Relevant to Mixing |
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309 | |
| 12 Particle Size Reduction |
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311 | |
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311 | |
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12.2 Particle Fracture Mechanisms |
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312 | |
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12.3 Model Predicting Energy Requirement and Product Size Distribution |
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314 | |
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12.3.1 Energy Requirement |
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314 | |
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12.3.2 Prediction of the Product Size Distribution |
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318 | |
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12.4 Types of Comminution Equipment |
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320 | |
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12.4.1 Factors Affecting Choice of Machine |
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320 | |
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12.4.2 Stressing Mechanisms |
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320 | |
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326 | |
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12.4.4 Material Properties |
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327 | |
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328 | |
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12.4.7 Combination with other Operations |
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328 | |
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12.4.8 Types of Milling Circuit |
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328 | |
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329 | |
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333 | |
| 13 Size Enlargement |
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337 | |
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13.2 Interparticle Forces |
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338 | |
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13.2.1 van der Waals Forces |
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338 | |
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13.2.2 Forces due to Adsorbed Liquid Layers |
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338 | |
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13.2.3 Forces due to Liquid Bridges |
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338 | |
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13.2.4 Electrostatic Forces |
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340 | |
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13.2.6 Comparison and Interaction between Forces |
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341 | |
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13.3.2 Granulation Rate Processes |
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342 | |
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13.3.3 Simulation of the Granulation Process |
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349 | |
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13.3.4 Granulation Equipment |
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352 | |
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355 | |
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357 | |
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357 | |
| 14 Health Effects of Fine Powders |
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359 | |
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359 | |
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14.2 The Human Respiratory System |
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359 | |
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359 | |
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14.2.2 Dimensions and Flows |
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361 | |
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14.3 Interaction of Fine Powders with the Respiratory System |
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362 | |
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14.3.2 Inertial Impaction |
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363 | |
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364 | |
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14.3.5 Electrostatic Precipitation |
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364 | |
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14.3.6 Relative Importance of These Mechanisms Within the Respiratory Tract |
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364 | |
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14.4 Pulmonary Delivery of Drugs |
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367 | |
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14.5 Harmful Effects of Fine Powders |
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369 | |
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371 | |
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371 | |
| 15 Fire and Explosion Hazards of Fine Powders |
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373 | |
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373 | |
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15.2 Combustion Fundamentals |
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374 | |
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374 | |
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15.2.2 Explosions and Detonations |
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374 | |
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15.2.3 Ignition, Ignition Energy, Ignition Temperature - a Simple Analysis |
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374 | |
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15.2.4 Flammability Limits |
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377 | |
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15.3 Combustion in Dust Clouds |
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378 | |
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15.3.1 Fundamentals Specific to Dust Cloud Explosions |
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378 | |
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15.3.2 Characteristics of Dust Explosions |
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379 | |
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15.3.3 Apparatus for Determination of Dust Explosion Characteristics |
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380 | |
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15.3.4 Application of the Test Results |
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382 | |
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15.4 Control of the Hazard |
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383 | |
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384 | |
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15.4.6 Minimize Dust Cloud Formation |
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386 | |
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386 | |
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386 | |
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392 | |
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| 16 Case Studies |
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395 | |
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395 | |
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399 | |
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403 | |
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404 | |
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414 | |
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420 | |
| Notation |
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425 | |
| References |
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433 | |
| Index |
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441 | |