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Cambridge University Press 978-1-108-47374-3 — Dynamics of Multiphase Flows Chao Zhu , Liang-Shih Fan , Zhao Yu Index More Information Cambridge University Press 978-1-108-47374-3 — Dynamics of Multiphase Flows Chao Zhu , Liang-Shih Fan , Zhao Yu Index More Information Index ABF. See agglomerate bubbling fluidization Basset historic integral. See Basset force abrasive erosion, 508 Basset-Boussinesq-Oseen equation, 82, 105, 176 absorption, 99, 133, 185, 200, 535 BBO equation. See Basset-Boussinesq-Oseen AC. See alternating current equation acceleration number, 106 beam attenuation method, 331–334 acoustic field, 339, 438, 446 bend erosion, 477, 507 acoustic wave, 331, 337–339 Bernoulli equation, 43 added mass, 90, 128, 131, 232, 245, 567 Bernoulli principle, 313, See Bernoulli equation agglomerate bubbling fluidization, 444 binary collision, 62–64, 182 agglomerate particulate fluidization, 444 Biot number, 98 agglomerates, 10, 22, 444, 447 body forces. See field forces agglomeration, 321, 541 boiling, 481, 527 aggregate, 8, 444, 558 film boiling, 163, 528, 530 aggregation, 240, 560 flow boiling, 527, 532 alternating current, 397 flow regimes, 531 Amontons’ law of sliding friction, 138, 139 heat flux regimes, 527 angular momentum balance, 142 nucleate boiling, 528–530, 532, 540 anisokinetic sampling, 346 pool boiling, 527, 532 annular flow, 448, 482, 514, 532 sub-cooled boiling, 527 APF. See agglomerate particulate fluidization boiling heat transfer, 527, 532, 540 arbitrary Lagrangian-Eulerian technique, 275 Boltzmann equation, 62, 262, 294 Archimedes number, 131, 429 Boltzmann-Maxwell distribution, 296 arithmetic mean diameter, 330 bounce back scheme, 297, 298 Arrhenius law, 563 boundary conditions atomization, 534, 535 charged surface, 136 atomizers, 535, 540 fluid-solid interface, 37 attrition, 10, 15, 126, 154, 218, 320, 507 immiscible fluids, 40 averaged transport equations, 192, 212, 217, 221 of interfacial mass transfer, 40, 103, 563 averages, 212 permeable interface, 58 ensemble average, 63 types of, 272 intrinsic average, 213, 214, 219 boundary-fitted mesh technique, 274 phase average, 213, 216 boundary-layer theory, 484 time average, 222 Bourger-Beer relation, 134 volume average, 213, 214 Boussinesq formulation, 48, 51, 223 volume-time average, 222 Boussinesq history integral force. See Basset force averaging theorems, 212–216 Boussinesq’s gradient approach. See Boussinesq formulation baffles, 425, 551 Bragg cell, 326 Bagnold friction law, 62 breakage, 240, 242, 457, 560 Bagnold number, 61 Brinkman equation, 32, 55, 58–60 ball probe method, 346, 358 brittle erosion, 508, 509 Basset force, 19, 81, 83, 90 Brownian diffusion, 391, 393 © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-108-47374-3 — Dynamics of Multiphase Flows Chao Zhu , Liang-Shih Fan , Zhao Yu Index More Information Index 585 Brownian force, 199, 200, 414 chemical absorption, 526 Brownian motion, 178, 198, 230, 390, 399, 414 combustion, 526, 561–566 bubble column, 3, 306, 452, 457 polymerization, 526 gas-liquid, 248, 424, 458 CHF. See critical heat flux gas-liquid-solid, 424 choking, 447, 451 reactors, 549, 552 churn flow, 482 regimes, 458 churn-turbulent regime, 458 slurry, 10, 363, 424, 458, 552 circulating fluidized bed, 21, 446–452, 551 vortical-spiral flow structure, 459 compoents, 447 bubble condensing, 567 flow modeling, 451 bubble formation, 452–454, 527 flow regimes, 447 bubble-induced turbulence, 245, 248–249, 571, flow structure, 449 572 pressure balance, 463 bubbles clarification, in slurry separation, 379 acceleration, 19 Clausius-Clapeyron equation, 104 breakup, 434, 457 Clausius-Mossotti factor, 404–406 coalescence, 456–459 cluster interactions, 457, 533 bubbles, 459 motion, 432–434, 456, 567 formation and instability, 22, 447 bubbling velocity, 432 mass transfer, 134 bubbling, 107, 455, 456 clustering, 23, 238 stability, 432 coalescence, 155–157 wake, 433, 456 bubbles, 242, 434, 456 bubbling, 452 drainage time, 155 bubbling flows, 452 efficiency, 155 bubbling fluidization, 426, 432, 438 of fluid particles, 155–156 Buckingham Pi-theorem, 484 coefficient of restitution, 145, 183 buoyancy force, 19, 159, 454, 495 collection efficiency, 383 Burgers viscous vortex model, 385 collection mechanisms, 391 Burke-Plummer’s equation, 56 cyclone, 25, 387, 407 electrostatic precipitator, 401, 412 Cahn-Hilliard equation, 284 fractional, 407 cake filtration, 390, 396 multi-stage collector, 328 capacitance number, 452 of a fiber, 391–394 capacitance transducers, 334 of a fiber, size-averaged, 395 capillary force, 148–150 of a filter, 396, 410 Capillary number, 109 of a filter, overall, 395, 407–410 capillary tubes, 56 of a granular particle, 394 carried mass, 4, 19, 81, 83, 90, See added mass particle size distribution, 360 cascade impaction, 324 collision cascade impactors, 324, 378, 382 bubble-particle, 454, 457 catalytic cracking, 553 critical normal collision velocity, 145 cavitation, 527 droplet-droplet, 152 central differencing scheme, 266, 267 droplet-particle, 541 centrifugal force, 5, 377, 381, 385, 438, 506 droplet-surface, 150, 163 centrifugal sedimentation, 324 frequency, 155, 240 centrifugal separation, 4 head-on, 10 CFB. See circulating fluidized bed Hertzian, 144 CFD. See computational fluid dynamics non-equilibrium, 22 channeling, 428, 443 normal, 140–142, 145 charge generation, 560 oblique and rotational, 142–144 charge measurement, 358 particle-droplet, 7 charge transfer, 15, 147 particle-particle, 63 charge-induced electric field, 195 particle-wall, 5, 144, 477 charging probability, 400 collisional force, 107, 140, 141 chemical reactions, 15, 81, 526 collisional stress of solids, 32 © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-108-47374-3 — Dynamics of Multiphase Flows Chao Zhu , Liang-Shih Fan , Zhao Yu Index More Information 586 Index combustion, 6, 561–566 covariance, 222–226, 230, 231, 342 coal particle, 564 creeping flow, 43 droplet, 562 critical heat flux, 528, 530, 532 compressibility cross-correlation function, 349 bulk volume, 33 cross-correlation measurements, 349 flow, 41, 81 cross-correlation method, 348–350 thermodynamic, 41 cumulative particle size distribution, 323 computational fluid dynamics, 41, 182, 261 Cunningham slip, 81, 88, 392 computer aided design, 263 cut-off size, 406 condensation, 242, 481, 560, 567 cyclone, 388, 406 condensing bubble, 567 impactor, 324 confocal microscopy, 318 multi-stage collector, 328 conformal mesh methods, 273–276 cyclone, 4, 5, 14, 380, 381, 447 conservation equation collection efficiency, 25, 406–407 general form, 35 flow modeling, 385–388 constitutive relations particle trajectory, 25 fluid-solid flows, 238 tangential-inlet, 4 kinetic theory of granular flow, 31–67 cyclone separation mechanism, 385 multi-fluid, 226, 229–234 cyclone separator, 345, 386, 406, 554 turbulent flows, 48 viscous fluid, 33–34 d2-law, 82, 104, 116, 545 contact angle, 39, 149 Dalton’s law, 100 contact theory, 136, 145 damping coefficient, 186, 189, 190 contact time Darcy’s equation. See Darcy’s law inter-particle, 146, 188 Darcy’s law, 32, 55, 58, 390 particle-fluid, 13, 98 DC. See direct current continuity equation DeBroucker’s mean diameter, 330 fluid without phase change, 36 Debye shielding distance, 399 overall of all phases, 292 deconvolution, 328 stratified flow, 499 DEM. See discrete element method volume-averaged, 217 dense phase transport, 22, 126, 467 volume-time averaged, 223 dense-phase fluidization, 429–437, 448, 468 continuous-discrete phase coupling, 287 DEP. See dielectrophoresis continuum modeling. See Eulerian-Eulerian deposition velocity, 485 modeling depth filtration, 390 flow in porous media, 55–60 deterministic trajectory model, 176–177, 253 kinetic theory of granular flow, 60–68 Deutsch equation, 402 multiphase flows, 212–237 dielectric particle, 94, 177, 402–405 viscous fluid flow, 55, 234 dielectrophoresis, 95, 402 continuum-discrete model, 173, 262, See dielectrophoretic force, 94, 95, 397 Eulerian-Lagrangian modeling differencing schemes, 266 convection differential settling method, 379 effect on evaporation, 104 diffraction, 132, 318, 320 heat transfer, 99, 131, 194 diffuse interface method, 283 mass transfer, 135 diffusion charging, 399 phase motion, 493 diffusion equation, 545 volume fraction in VOF, 280 diffusive flux, 36, 223, 267, 545 cooling tower, 6 diffusive transport coefficient, 223 core-annular pipe flow, 496 dilute transport, 18, 426, 447, 495–497, 544 Coriolis force, 96, 505 dimensional analysis, 49, 50, 156 corona charging, 398, 399 direct current, 397 corona-charging-ball probe method, 348 direct numerical simulation, 46, 53, 200, 239, 273, corona-discharging method, 355–356 543 Coulomb force, 113, 397, 400 discrete element method, 17, 182–191, 568 Coulomb’s law, 135 hard-sphere model, 182–185 Coulter counting, 318 soft-sphere model, 185–191 © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-108-47374-3 — Dynamics of Multiphase Flows Chao Zhu , Liang-Shih Fan , Zhao Yu Index More Information Index 587 discrete phase, 126, 172, 217 scanning, 319 discretization schemes, 266–267 transmission, 319 disengagement method, 364 electro-osmotic flow, 71 dispersed bubble flow, 481 electrophoresis, 107, 173 dissipation function, 36 electrostatic precipitation, 13, 378, 397–402 dissipation rate electrostatic precipitator, 13, 397, 400, 412 heat, 37 elongated bubble flow, 481 specific kientic energy, 199 elutriation, 435 sub-grid energy, 54 elutriators, 378 turbulent kinetic energy, 45, 49 emulsion, 426, 432–434, 446 DNS. See direct numerical simulation energy equation Doppler effect, 325 enthalpy, 37, 220 Doppler frequency
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