About the Authors |
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xi | |
Preface |
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xiii | |
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1 | (14) |
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2 | (1) |
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2 | (3) |
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5 | (2) |
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7 | (3) |
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10 | (1) |
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1.6 Scope and Overall Plan |
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10 | (2) |
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12 | (3) |
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12 | (3) |
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15 | (242) |
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17 | (51) |
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18 | (6) |
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19 | (1) |
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19 | (3) |
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2.1.3 Interparticle Forces |
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22 | (2) |
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24 | (3) |
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2.2.1 Equations of Motion |
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25 | (2) |
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2.3 Force-Displacement Laws |
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27 | (29) |
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2.3.1 Linear Viscoelastic Model |
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29 | (7) |
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2.3.2 Nonlinear Viscoelastic Models |
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36 | (9) |
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2.3.3 Comparison of Viscoelastic Force-Displacement Models |
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45 | (4) |
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2.3.4 Elastic Perfectly Plastic Models |
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49 | (7) |
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56 | (2) |
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2.4.1 Model A: Constant Torque Model |
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56 | (1) |
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2.4.2 Model B: Viscous Model |
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57 | (1) |
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2.4.3 Model C: Spring-Dashpot Model |
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57 | (1) |
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2.5 Boundary and Initial Conditions |
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58 | (10) |
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2.5.1 Boundary Conditions |
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58 | (2) |
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60 | (1) |
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60 | (4) |
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64 | (4) |
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68 | (84) |
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68 | (3) |
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71 | (5) |
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3.3 Contact Search Algorithms |
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76 | (27) |
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3.3.1 Definition of Problem |
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79 | (1) |
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3.3.2 Cell-Based Algorithms |
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80 | (16) |
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3.3.3 Sort-Based Algorithms |
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96 | (3) |
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3.3.4 Tree-Based Broad Search Algorithms |
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99 | (4) |
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3.3.5 Fine Search for Spherical Particles |
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103 | (1) |
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103 | (16) |
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3.4.1 Single-Step Methods |
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106 | (4) |
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3.4.2 Multi-Step Algorithms |
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110 | (2) |
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3.4.3 Predictor-Corrector Methods |
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112 | (2) |
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3.4.4 Evaluation of Integration Methods |
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114 | (5) |
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119 | (4) |
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122 | (1) |
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3.5.2 Collision Time and Maximum Contact Force |
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123 | (1) |
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123 | (15) |
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3.6.1 Definition of Wall Elements |
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125 | (3) |
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128 | (8) |
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136 | (2) |
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138 | (14) |
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3.7.1 Distributed Memory Parallelization |
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138 | (3) |
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3.7.2 Shared-Memory Parallelization |
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141 | (4) |
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145 | (2) |
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147 | (5) |
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4 Non-Spherical Particles |
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152 | (37) |
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153 | (3) |
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4.2 Kinematics and Dynamics of a Rigid Body |
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156 | (8) |
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4.2.1 Euler Angles and Transformation Matrix |
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157 | (2) |
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4.2.2 Equations of Motion |
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159 | (4) |
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4.2.3 Quaternions for Rigid Body Dynamics |
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163 | (1) |
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164 | (14) |
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166 | (3) |
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4.3.2 Effective Radius and Curvatures |
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169 | (4) |
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4.3.3 Torque Calculations |
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173 | (1) |
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174 | (4) |
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178 | (11) |
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184 | (2) |
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186 | (3) |
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5 DEM Applications to Granular Flows |
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189 | (68) |
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189 | (7) |
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189 | (3) |
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192 | (2) |
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5.1.3 Rigid and Flexible Fibers |
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194 | (2) |
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196 | (7) |
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197 | (2) |
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199 | (2) |
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201 | (2) |
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203 | (31) |
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5.3.1 Mechanisms of Mixing and Segregation |
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203 | (2) |
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205 | (4) |
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209 | (11) |
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220 | (3) |
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223 | (6) |
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229 | (5) |
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234 | (7) |
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5.4.1 Simulation of Screw Conveyor |
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237 | (1) |
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5.4.2 Results of the Simulations |
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238 | (1) |
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239 | (2) |
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241 | (16) |
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5.5.1 Phenomenological Models |
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243 | (1) |
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244 | (3) |
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247 | (2) |
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249 | (8) |
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257 | (155) |
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6 CFD-DEM Formulation and Coupling |
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259 | (82) |
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260 | (7) |
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6.1.1 Coupling Strategies |
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260 | (2) |
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262 | (3) |
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6.1.3 Interphase Interactions |
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265 | (2) |
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267 | (36) |
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6.2.1 Single Phase Flow of Fluids |
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267 | (7) |
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6.2.2 Fluid Resolution in CFD-DEM |
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274 | (1) |
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6.2.3 Unresolved Surface CFD-DEM |
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275 | (12) |
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6.2.4 Surface Force Decomposition |
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287 | (16) |
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303 | (16) |
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6.3.1 Governing Equations |
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304 | (4) |
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6.3.2 Rates of Heat Transfer for Particles |
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308 | (8) |
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6.3.3 Rates of Heat Transfer for Fluid |
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316 | (1) |
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6.3.4 Sequence of Calculations |
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317 | (2) |
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319 | (22) |
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6.4.1 Governing Equations |
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319 | (5) |
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6.4.2 Rates of Mass Transfer for Particles |
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324 | (5) |
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6.4.3 Rates of Change in Fluid |
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329 | (1) |
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6.4.4 Sequence of Calculations |
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329 | (1) |
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329 | (6) |
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335 | (6) |
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7 CFD-DEM Applications to Multiphase Flow |
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341 | (31) |
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341 | (6) |
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7.1.1 Macro-Scale Phenomena |
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342 | (2) |
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7.1.2 Meso-Scale Phenomena |
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344 | (1) |
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7.1.3 Micro-Scale Phenomena |
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345 | (2) |
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347 | (8) |
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355 | (4) |
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7.3.1 Dilute Phase and Dense Phase Conveying |
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356 | (1) |
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7.3.2 Horizontal Conveying |
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357 | (2) |
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359 | (1) |
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359 | (3) |
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362 | (2) |
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364 | (8) |
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365 | (1) |
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366 | (6) |
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8 Interparticle Forces and External Fields |
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372 | (40) |
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373 | (3) |
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6.1.1 Sequence of Calculations |
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375 | (1) |
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376 | (14) |
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8.2.1 van der Waals Force |
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376 | (3) |
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8.2.2 Liquid Bridge Force |
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379 | (7) |
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8.2.3 Electrostatic Force |
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386 | (4) |
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390 | (9) |
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390 | (3) |
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393 | (4) |
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397 | (1) |
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398 | (1) |
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399 | (13) |
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404 | (3) |
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407 | (5) |
Index |
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412 | |