Contributors |
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xi | |
About the editors |
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xv | |
Preface |
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xvii | |
References |
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xvii | |
Acknowledgment |
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xix | |
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1 | (42) |
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1 | (4) |
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5 | (2) |
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1.3 Deterministic descriptions |
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7 | (5) |
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1.4 Statistical descriptions |
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12 | (8) |
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1.5 Important non-dimensional quantities |
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20 | (5) |
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1.6 Multiscale nature of turbulent particle-laden flows |
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25 | (6) |
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31 | (12) |
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36 | (2) |
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38 | (5) |
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2 Particle dispersion and preferential concentration in particle-laden turbulence |
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43 | (38) |
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43 | (1) |
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44 | (7) |
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2.3 Preferential concentration of particles by turbulence |
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51 | (21) |
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72 | (9) |
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75 | (6) |
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3 Physics of two-way coupling in particle-laden homogeneous isotropic turbulence |
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81 | (30) |
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81 | (3) |
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3.2 Particle-laden flows with dp > n |
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84 | (9) |
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3.3 Particle-laden flows with dp < n |
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93 | (18) |
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Appendix 3.A Governing equations |
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103 | (3) |
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Appendix 3.B Equations of conservation of linear and angular momenta for a solid particle moving in an incompressible fluid |
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106 | (2) |
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108 | (3) |
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4 Coagulation in turbulent particle-laden flows |
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111 | (36) |
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111 | (3) |
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4.2 Geometric collision kernel |
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114 | (14) |
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128 | (3) |
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4.4 Modeling the evolution of particle size distribution |
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131 | (4) |
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4.5 A specific application: turbulent collision coalescence of cloud droplets and its impact on warm rain precipitation |
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135 | (3) |
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138 | (9) |
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140 | (1) |
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140 | (7) |
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5 Efficient methods for particle-resolved direct numerical simulation |
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147 | (38) |
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147 | (2) |
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5.2 The immersed boundary method in Navier-Stokes-based solvers |
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149 | (8) |
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5.3 Distributed Lagrange multiplier methods |
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157 | (3) |
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5.4 Boltzmann equation-based mesoscopic methods |
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160 | (14) |
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174 | (2) |
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5.6 Comparing PR-DNS methods: a difficult exercise |
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176 | (1) |
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5.7 Conclusion and outlook |
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177 | (8) |
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178 | (1) |
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178 | (7) |
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6 Results from particle-resolved simulations |
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185 | (32) |
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185 | (1) |
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6.2 PR-DNS of dense fluidized systems for drag force parameterizations based on dynamic simulations |
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186 | (6) |
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6.3 PR-DNS of unbounded flows in the dilute regime |
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192 | (7) |
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6.4 PR-DNS of wall-bounded shear flows |
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199 | (9) |
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6.5 Conclusions and outlook |
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208 | (9) |
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209 | (8) |
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7 Modeling of short-range interactions between both spherical and non-spherical rigid particles |
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217 | (48) |
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218 | (2) |
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7.2 Motion of a non-spherical rigid body |
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220 | (3) |
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7.3 Geometric description of a non-spherical rigid body and the problem of collision detection of non-spherical rigid bodies |
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223 | (6) |
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7.4 Non-collisional short-range hydrodynamic interactions: lubrication in dilute regime |
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229 | (2) |
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7.5 Methods for Lagrangian tracking of non-spherical rigid bodies with collisions |
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231 | (15) |
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7.6 Efficient and parallel implementation of granular dynamics solvers and their parallel coupling to the fluid solver |
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246 | (4) |
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250 | (4) |
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254 | (11) |
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255 | (10) |
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8 Improved force models for Euler-Lagrange computations |
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265 | (34) |
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265 | (3) |
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8.2 Undisturbed quantities |
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268 | (3) |
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8.3 Stochastic effects in Euler-Lagrange simulation for unresolved fields |
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271 | (2) |
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8.4 Fluid equations for dilute flows modeled with the Euler-Lagrange method |
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273 | (1) |
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8.5 Particle equation of motion |
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273 | (9) |
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8.6 Eulerian-Lagrangian data transfer |
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282 | (2) |
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8.7 Correction schemes for the undisturbed quantities |
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284 | (8) |
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8.8 Summary and future directions |
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292 | (1) |
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292 | (7) |
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293 | (1) |
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293 | (6) |
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9 Deterministic extended point-particle models |
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299 | (32) |
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9.1 Motivation to go beyond the point-particle model |
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299 | (2) |
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301 | (2) |
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9.3 Undisturbed flow prediction |
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303 | (4) |
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9.4 Deterministic particle force prediction using the PIEP model |
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307 | (5) |
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9.5 Beyond pairwise approximation using machine learning |
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312 | (3) |
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9.6 Concept and statement of the force coupling method |
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315 | (3) |
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9.7 FCM results for individual particles |
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318 | (6) |
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9.8 Examples of FCM applications |
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324 | (1) |
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325 | (6) |
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327 | (4) |
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331 | (52) |
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10.1 Motivation for stochastic models |
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332 | (2) |
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10.2 Dispersion of inertial particles from a point source |
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334 | (7) |
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10.3 Lagrangian particle description |
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341 | (13) |
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10.4 Challenges in modeling turbulent particle-laden flow |
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354 | (1) |
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10.5 Models for inertial particles in turbulence |
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355 | (13) |
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10.6 Numerical considerations |
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368 | (4) |
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10.7 Summary and extensions |
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372 | (11) |
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Appendix 10.A Details of numerical integration of SDEs |
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373 | (2) |
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Appendix 10.B Fast and slow variables |
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375 | (2) |
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377 | (6) |
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11 Volume-filtered Euler-Lagrange method for strongly coupled fluid-particle flows |
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383 | (36) |
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11.1 Strongly coupled fluid-particle flows |
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383 | (2) |
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11.2 Microscale description |
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385 | (2) |
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387 | (7) |
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394 | (3) |
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11.5 Numerical implementation |
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397 | (6) |
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11.6 Application to the study of strongly coupled particle-laden flows |
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403 | (5) |
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408 | (5) |
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413 | (6) |
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414 | (5) |
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12 Quadrature-based moment methods for particle-laden flows |
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419 | (30) |
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419 | (3) |
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12.2 The kinetic equation and its generalization |
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422 | (5) |
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12.3 Generalities on moment methods |
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427 | (4) |
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12.4 Quadrature-based moment closures |
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431 | (6) |
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12.5 Anisotropic Gaussian closure for monodisperse flows |
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437 | (5) |
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12.6 Anisotropic Gaussian closure for polydisperse flows |
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442 | (2) |
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444 | (5) |
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444 | (5) |
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13 Eulerian-Eulerian modeling approach for turbulent particle-laden flows |
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449 | (34) |
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449 | (3) |
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13.2 Derivation of the Eulerian-Eulerian model for fluid-solid flows |
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452 | (5) |
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13.3 Probability density function |
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457 | (10) |
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467 | (12) |
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13.5 Outlook and conclusions |
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479 | (4) |
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480 | (3) |
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14 Multiscale modeling of gas-fluidized beds |
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483 | (54) |
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483 | (9) |
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492 | (27) |
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519 | (18) |
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522 | (1) |
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522 | (15) |
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537 | (12) |
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537 | (1) |
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15.2 Mapping the high-dimensional parameter space |
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538 | (2) |
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15.3 Discovery and quantification of flow physics |
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540 | (1) |
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15.4 Theoretical challenges |
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541 | (1) |
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542 | (4) |
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15.6 Need for collaborative efforts |
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546 | (3) |
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546 | (3) |
Index |
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549 | |