Volume 1 |
|
|
|
xi | |
|
|
1 | (22) |
|
1 Multiphase Flows and Process Industries |
|
|
3 | (20) |
|
|
|
|
4 | (5) |
|
|
9 | (6) |
|
1.3 Organization of This Book |
|
|
15 | (4) |
|
|
19 | (4) |
|
Part II Fundamentals of Multiphase Flows |
|
|
23 | (218) |
|
2 Multiphase Flows: Flow Regimes, Lower Order Models, and Correlations |
|
|
25 | (70) |
|
|
|
|
25 | (3) |
|
2.2 Modeling of Multiphase Flows |
|
|
28 | (1) |
|
2.3 Chronological Development of Mathematical Models |
|
|
29 | (2) |
|
2.4 Zero-Dimensional Two-Equation Model |
|
|
31 | (1) |
|
2.5 Homogeneous Equilibrium Model |
|
|
31 | (2) |
|
|
33 | (3) |
|
2.7 One-Dimensional Five-Equation Models |
|
|
36 | (1) |
|
2.8 One-Dimensional Six-Equation Two-Phase Flow Models: Axial Variation of Field Variables |
|
|
36 | (1) |
|
2.8.1 Mathematical Formulations |
|
|
36 | (1) |
|
|
38 | (1) |
|
2.8.2.1 Regime Maps and Criteria for Transition |
|
|
38 | (1) |
|
|
38 | (1) |
|
|
41 | (2) |
|
|
43 | (1) |
|
2.8.4 Application and Validation of Various One-D Models and CFD |
|
|
46 | (1) |
|
2.8.4.1 Nodalization for the One-Dimensional Models |
|
|
47 | (1) |
|
|
47 | (1) |
|
2.8.4.3 Comparison Between Three-, Five-, and Six-Equation Model with Experimental Data |
|
|
48 | (1) |
|
2.9 One-Dimensional Six-Equation Two-Phase Flow Models: Radial Variation of Field Variables |
|
|
49 | (1) |
|
2.9.1 Hydrodynamic Regimes and Criteria for Transition |
|
|
49 | (1) |
|
|
53 | (1) |
|
2.9.3 Stepwise Solution Procedure |
|
|
62 | (1) |
|
|
64 | (1) |
|
2.9.3.2 Model for Eddy Diffusivity |
|
|
64 | (1) |
|
2.9.3.3 Solution Procedure |
|
|
65 | (1) |
|
2.10 Prediction of Design Parameters Using One-Dimensional Models |
|
|
66 | (1) |
|
|
66 | (1) |
|
2.10.2 Prediction of Heat Transfer Coefficient |
|
|
73 | (1) |
|
2.10.3 Mixing Time and Liquid Phase Dispersion Coefficient |
|
|
75 | (2) |
|
2.11 Process Design Using One-Dimensional Models |
|
|
77 | (2) |
|
2.12 The Three-Dimensional CFD Simulations to Overcome the Limitations of One-Dimensional Models: The Current Status |
|
|
79 | (1) |
|
|
80 | (6) |
|
|
86 | (2) |
|
|
88 | (7) |
|
3 Multiscale Modeling of Multiphase Rows |
|
|
95 | (108) |
|
|
|
|
|
3.1 General Introduction to Multiphase Flows |
|
|
95 | (1) |
|
3.2 Multiscale Modeling of Multiphase Flows |
|
|
96 | (2) |
|
|
98 | (1) |
|
|
98 | (1) |
|
3.3.2 Governing Equations |
|
|
103 | (1) |
|
3.3.3 Numerical Solution Method |
|
|
106 | (1) |
|
|
107 | (1) |
|
3.3.4.1 Hydrodynamics of a Pseudo Two-Dimensional Gas-Fluidized Bed |
|
|
108 | (1) |
|
3.3.4.2 Hydrodynamics of a 3D Cylindrical Bed |
|
|
109 | (1) |
|
3.3.4.3 Gas-Fluidized Bed with Heat Production |
|
|
113 | (2) |
|
3.3.5 Conclusions and Outlook |
|
|
115 | (1) |
|
3.4 Euler-Lagrange Modeling |
|
|
116 | (1) |
|
|
116 | (1) |
|
3.4.2 Discrete Particle Modeling |
|
|
117 | (1) |
|
|
117 | (1) |
|
|
120 | (1) |
|
3.4.2.3 Fluid-Particle Coupling |
|
|
121 | (3) |
|
3.4.3 Discrete Bubble Model |
|
|
124 | (1) |
|
3.4.3.1 Collision, Coalescence, and Break-up |
|
|
124 | (3) |
|
3.4.4 Direct Simulation Monte Carlo |
|
|
127 | (1) |
|
3.4.5 Conclusions and Outlook |
|
|
131 | (2) |
|
3.5 Immersed Boundary Methods |
|
|
133 | (1) |
|
|
133 | (1) |
|
|
134 | (1) |
|
3.5.2.1 Governing Equations |
|
|
134 | (1) |
|
3.5.2.2 Continuous Forcing or Diffuse IBM |
|
|
135 | (1) |
|
3.5.2.3 Discrete Forcing or Sharp IBM |
|
|
140 | (1) |
|
3.5.2.4 Mass and Heat Transport |
|
|
146 | (3) |
|
|
149 | (1) |
|
3.5.3.1 Hydrodynamics Using Diffuse IBM |
|
|
149 | (1) |
|
3.5.3.2 Hydrodynamics Using Sharp IBM |
|
|
151 | (1) |
|
3.5.3.3 Heat and Mass Transport Using Diffuse IBM |
|
|
154 | (1) |
|
3.5.3.4 Heat and Mass Transport Using Sharp IBM |
|
|
154 | (5) |
|
3.5.4 Discussion and Outlook |
|
|
159 | (2) |
|
3.6 Direct Numerical Simulations of Gas-Liquid and Gas-Liquid-Solid Flows |
|
|
161 | (1) |
|
|
161 | (1) |
|
3.6.2 Governing Equations |
|
|
162 | (1) |
|
3.6.3 Moving Grid Methods |
|
|
163 | (1) |
|
|
163 | (1) |
|
3.6.4.1 Volume of Fluid Method |
|
|
164 | (1) |
|
|
168 | (1) |
|
|
170 | (3) |
|
|
173 | (1) |
|
|
173 | (1) |
|
|
175 | (1) |
|
3.6.5.3 Drag Coefficient of Bubble Swarms |
|
|
176 | (1) |
|
3.6.5.4 Droplet-Droplet Interactions |
|
|
179 | (2) |
|
3.6.6 Gas-Liquid-Solid Three Phase Flows |
|
|
181 | (1) |
|
3.6.7 Discussion and Outlook |
|
|
184 | (1) |
|
3.7 Verification, Experimental Validation, and Uncertainty Quantification |
|
|
185 | (1) |
|
|
186 | (1) |
|
Symbols and Abbreviations |
|
|
186 | (3) |
|
|
189 | (14) |
|
4 Enabling Process Innovations via Mastering Multiphase Flows: Gas-Liquid and Gas-Liquid-Solid Processes |
|
|
203 | (38) |
|
|
|
|
203 | (5) |
|
4.2 "Tools" for Process Innovation of Gas-Liquid and Gas-Liquid-Solid Processes |
|
|
208 | (3) |
|
4.3 Process Innovations in Multiphase Reactors |
|
|
211 | (1) |
|
4.3.1 Stirred Tank Reactors |
|
|
212 | (1) |
|
4.3.2 Bubble Column and Slurry Bubble Column Reactors |
|
|
215 | (1) |
|
4.3.3 Spinning Disc Reactors |
|
|
218 | (1) |
|
4.3.4 Oscillatory Baffled Reactors |
|
|
220 | (1) |
|
4.3.5 Cavitation Reactors |
|
|
223 | (1) |
|
4.3.5.1 Ultrasound Cavitation Reactors |
|
|
223 | (1) |
|
4.3.5.2 Hydrodynamic Cavitation Reactor |
|
|
224 | (1) |
|
|
225 | (1) |
|
|
227 | (1) |
|
4.4 Process Innovations in Multiphase Unit Operations |
|
|
228 | (1) |
|
4.4.1 Mixing in Multiphase Systems |
|
|
228 | (1) |
|
4.4.2 Multiphase Separation |
|
|
230 | (1) |
|
4.4.2.1 HiGee Distillation |
|
|
231 | (1) |
|
4.4.2.2 Cyclic Distillation |
|
|
232 | (1) |
|
|
233 | (1) |
|
|
234 | (1) |
|
|
234 | (1) |
|
|
235 | (6) |
Volume 2 |
|
|
|
xiii | |
|
Part III Enabling Process Innovations via Mastering Multiphase Flows |
|
|
241 | (392) |
|
5 Liquid-Liquid Processes: Mass Transfer Processes and Chemical Reactions |
|
|
243 | (46) |
|
|
|
|
243 | (4) |
|
5.2 Liquid-Liquid Thermodynamics and Processes |
|
|
247 | (1) |
|
5.2.1 Ternary Systems and Triangle Diagrams |
|
|
247 | (1) |
|
5.2.2 Single-Step Extraction |
|
|
248 | (1) |
|
5.2.3 Cross-Flow Extraction |
|
|
248 | (1) |
|
5.2.4 Counter-current Extraction |
|
|
249 | (1) |
|
5.2.5 Solvent Selection Criteria |
|
|
251 | (1) |
|
5.3 Mass Transfer in Liquid-Liquid Systems |
|
|
252 | (1) |
|
5.3.1 Interface of Droplets |
|
|
252 | (1) |
|
5.3.2 Numerical Simulation of Droplet Flow |
|
|
254 | (1) |
|
5.3.3 Modeling of Mass Transfer |
|
|
255 | (1) |
|
5.3.4 Extraction Processes |
|
|
258 | (3) |
|
5.4 Liquid-Liquid Reactions and Applications |
|
|
261 | (1) |
|
5.4.1 Mass Transfer and Chemical Reaction at the Liquid-Liquid Interface |
|
|
261 | (1) |
|
5.4.2 Interfacial Area and Specific Surface |
|
|
265 | (1) |
|
5.4.3 Turbulent Mixing and Dispersion |
|
|
267 | (1) |
|
5.4.4 Scale-Up Considerations |
|
|
269 | (1) |
|
5.5 Liquid-Liquid Process Equipment and Typical Applications |
|
|
270 | (1) |
|
5.5.1 Overview of Liquid-Liquid Extraction Equipment |
|
|
271 | (1) |
|
5.5.2 Liquid-Liquid Extraction Columns |
|
|
272 | (1) |
|
5.5.3 Centrifugal Extractors |
|
|
274 | (1) |
|
5.5.4 Applications of Reactive Extraction |
|
|
275 | (1) |
|
5.5.5 Chemical Reactors for Liquid-Liquid Processes |
|
|
276 | (1) |
|
5.5.6 Future Development in Liquid-Liquid Process Equipment and Applications |
|
|
280 | (1) |
|
|
281 | (1) |
|
|
282 | (7) |
|
6 Enabling Process Innovations via Mastering Multiphase Flows: Gas-Solid Processes |
|
|
289 | (70) |
|
|
|
|
|
289 | (1) |
|
|
290 | (2) |
|
6.3 Gas-Solid Flow Investigation Methods |
|
|
292 | (2) |
|
6.4 Case Study 1: FCC Riser |
|
|
294 | (1) |
|
|
294 | (1) |
|
6.4.2 Challenge in CFD Modeling of Gas-Solid Flow in Riser |
|
|
297 | (1) |
|
|
298 | (1) |
|
6.4.4 Verification of EMMS Drag Model |
|
|
301 | (1) |
|
6.4.5 Calculation of EMMS Drag |
|
|
305 | (1) |
|
6.4.6 CFD of Cold-Flow FCC Riser |
|
|
306 | (1) |
|
6.4.7 CFD of Reactive Flow in FCC Riser |
|
|
308 | (1) |
|
6.4.7.1 Effect of Baffles |
|
|
310 | (1) |
|
6.4.7.2 Effect of Pulsating Flow |
|
|
315 | (2) |
|
|
317 | (1) |
|
6.5 Case Study 2: FCC Stripper |
|
|
317 | (1) |
|
|
317 | (1) |
|
|
318 | (1) |
|
|
318 | (1) |
|
6.5.4 Results and Discussion |
|
|
320 | (1) |
|
6.5.4.1 Experimental Data and Model Validation |
|
|
320 | (1) |
|
6.5.4.2 Effect of Packing |
|
|
321 | (4) |
|
|
325 | (1) |
|
6.6 Case Study 3: Rotary Cement Kiln |
|
|
325 | (1) |
|
|
325 | (1) |
|
6.6.2 Gas-Solid Flow in a Cement Kiln |
|
|
326 | (1) |
|
|
327 | (1) |
|
6.6.3.1 Model for Bed Region |
|
|
327 | (1) |
|
6.6.3.2 Model for Freeboard Region |
|
|
328 | (1) |
|
6.6.3.3 Radiation Modeling |
|
|
330 | (1) |
|
6.6.3.4 Mass Transfer From Bed to Freeboard |
|
|
330 | (1) |
|
6.6.4 Coupling Between Two Models |
|
|
331 | (1) |
|
6.6.5 Simulations of Rotary Cement Kilns |
|
|
332 | (1) |
|
6.6.6 Effect of Burner Operational Parameters |
|
|
334 | (1) |
|
|
335 | (1) |
|
6.7 Case Study 4: Bubbling Fluidized Bed |
|
|
336 | (1) |
|
|
336 | (1) |
|
|
336 | (1) |
|
6.7.2.1 Governing Equation of Gas Phase |
|
|
336 | (1) |
|
6.7.2.2 Governing Equation of Solid Phase |
|
|
336 | (1) |
|
|
337 | (2) |
|
6.7.3 Gas-Solid Drag Models |
|
|
339 | (1) |
|
|
343 | (1) |
|
6.7.5 Simulation Results for Goldschmidt et al. |
|
|
344 | (1) |
|
6.7.6 Simulation Results for NETL Challenge Problem |
|
|
346 | (1) |
|
|
348 | (1) |
|
|
348 | (2) |
|
|
350 | (1) |
|
|
351 | (1) |
|
|
351 | (8) |
|
|
359 | (118) |
|
|
|
|
|
359 | (3) |
|
7.2 Slurry Transportation |
|
|
362 | (1) |
|
7.2.1 Hydrodynamics and Flow Regimes |
|
|
366 | (1) |
|
7.2.2 Modeling of Slurry Transport System |
|
|
371 | (1) |
|
7.2.2.1 Non-Settling Slurries |
|
|
371 | (1) |
|
7.2.2.2 Settling Slurries |
|
|
374 | (14) |
|
|
388 | (2) |
|
7.3 Agitation and Mixing in Stirred Vessel |
|
|
390 | (1) |
|
7.3.1 Hydrodynamics of Non-settling Slurries |
|
|
391 | (1) |
|
7.3.1.1 Kneading and Muller Mixer |
|
|
400 | (1) |
|
7.3.1.2 Vertical/Horizontal Screw Mixer |
|
|
400 | (1) |
|
7.3.1.3 High-Shear and Ultra-High-Shear Mixer |
|
|
401 | (1) |
|
|
401 | (1) |
|
7.3.1.5 Triple Shaft Anchor/Helical Mixer |
|
|
401 | (1) |
|
7.3.2 Modeling of Non-settling Slurries |
|
|
401 | (1) |
|
|
405 | (1) |
|
7.3.4 Hydrodynamics of Settling Slurries |
|
|
405 | (1) |
|
7.3.4.1 Minimum Impeller Speed for Solid Suspension |
|
|
407 | (1) |
|
7.3.4.2 Solid Suspension Characterization Using Cloud Height |
|
|
408 | (1) |
|
7.3.4.3 Solid Concentration or Homogeneity |
|
|
410 | (1) |
|
7.3.5 Modeling of Settling Slurries |
|
|
411 | (1) |
|
|
414 | (1) |
|
7.4 Fluidized Bed Reactor |
|
|
415 | (1) |
|
7.4.1 Hydrodynamics and Flow Regimes |
|
|
416 | (1) |
|
7.4.1.1 Minimum Fluidization Velocity |
|
|
418 | (1) |
|
7.4.1.2 Flow Instability in Conventional Fluidization Regime |
|
|
420 | (1) |
|
7.4.1.3 Average Solids Holdup |
|
|
422 | (1) |
|
7.4.1.4 Radial Solids Holdup and Liquids Velocity |
|
|
423 | (2) |
|
7.4.2 Models for Liquid-Solid Fluidized Bed |
|
|
425 | (1) |
|
|
425 | (1) |
|
7.4.2.2 Core-Annulus Model |
|
|
426 | (1) |
|
7.4.2.3 Computational Modeling of Liquid-Solid Fluidized Bed Reactors |
|
|
428 | (4) |
|
|
432 | (1) |
|
7.4.3.1 Bioreactor and Bioprocesses |
|
|
432 | (1) |
|
7.4.3.2 Reflux Classifier |
|
|
433 | (1) |
|
7.4.3.3 Fluidized Bed Crystallizers (FBCs) |
|
|
436 | (3) |
|
|
439 | (1) |
|
7.5.1 Flow Fields in Hydrocyclones |
|
|
440 | (1) |
|
7.5.1.1 Velocity Components |
|
|
440 | (1) |
|
7.5.1.2 Particle Separation |
|
|
442 | (3) |
|
7.5.2 Modeling of Hydrocyclones |
|
|
445 | (1) |
|
7.5.2.1 Empirical Correlations |
|
|
446 | (8) |
|
|
454 | (1) |
|
7.6 Summary and Path Forward |
|
|
454 | (2) |
|
Symbols and Abbreviations |
|
|
456 | (2) |
|
|
458 | (19) |
|
8 Three or More Phase Reactors |
|
|
477 | (56) |
|
|
|
|
|
477 | (1) |
|
8.2 Selection of Multiphase Reactor |
|
|
477 | (1) |
|
8.2.1 Transport Effects on Scale-Up Relative to Kinetics |
|
|
478 | (1) |
|
8.2.2 Ease of Operation and Safety at Scale |
|
|
480 | (1) |
|
8.3 Commonly Used Three-Phase Reactors and Their Hydrodynamics |
|
|
481 | (1) |
|
8.3.1 Slurry Bubble Columns |
|
|
481 | (1) |
|
8.3.1.1 Hydrodynamic Flow Regimes |
|
|
481 | (2) |
|
8.3.2 Packed Bubble Columns |
|
|
483 | (1) |
|
8.3.3 Gas-Liquid-Solid Fluidized Bed Reactors |
|
|
484 | (1) |
|
|
484 | (1) |
|
|
485 | (3) |
|
8.3.4 Stirred Tank Reactors |
|
|
488 | (1) |
|
8.3.4.1 Hydrodynamics of Three-Phase Stirred Tank Reactors |
|
|
488 | (2) |
|
8.4 Models for Gas-Liquid-Solid Reactors |
|
|
490 | (1) |
|
8.4.1 Ideal Flow Models and Phenomenological Models (Low-Level Models) |
|
|
492 | (1) |
|
|
494 | (3) |
|
8.5 Application and Recent Advances |
|
|
497 | (1) |
|
8.5.1 Slurry Bubble Column Reactors |
|
|
497 | (1) |
|
8.5.1.1 Phenomenological Models for Slurry Bubble Column |
|
|
498 | (1) |
|
8.5.1.2 Computational Fluid Dynamics Models |
|
|
499 | (3) |
|
8.5.2 CFD Modeling Application in Three-Phase Fluidized Bed Reactors |
|
|
502 | (1) |
|
8.5.3 Modeling of Three-Phase Stirred Tank Reactors |
|
|
505 | (3) |
|
|
508 | (1) |
|
|
509 | (1) |
|
8.6.2 Euler-Euler Unstructured Models |
|
|
509 | (1) |
|
8.6.3 Euler-Euler-Lagrange Structured Models |
|
|
510 | (2) |
|
8.7 Gas-Liquid-Liquid and Gas-Liquid-Liquid-Solid Reactions |
|
|
512 | (5) |
|
8.8 Guidelines for Practicing Engineer and Extension to Other Multiphase Reactors |
|
|
517 | (1) |
|
8.8.1 Bubble Column Reactor Modifications |
|
|
517 | (1) |
|
|
518 | (1) |
|
|
519 | (1) |
|
8.8.4 Rotating Disc Contactors |
|
|
520 | (1) |
|
|
521 | (1) |
|
Symbols and Abbreviations |
|
|
522 | (2) |
|
|
524 | (9) |
|
|
533 | (56) |
|
|
|
|
533 | (2) |
|
|
535 | (1) |
|
|
535 | (1) |
|
9.2.1.1 Flow Regime Prediction |
|
|
535 | (1) |
|
9.2.1.2 Flow Regime Transition |
|
|
537 | (1) |
|
|
538 | (1) |
|
9.2.2.1 Relative Permeability Model |
|
|
539 | (1) |
|
|
540 | (1) |
|
|
541 | (1) |
|
9.2.4 Liquid Distribution |
|
|
542 | (1) |
|
9.2.5 Catalyst Wetting Efficiency |
|
|
543 | (1) |
|
9.2.6 Heat Transfer and Thermal Stability in Trickle Bed Reactors |
|
|
545 | (3) |
|
9.3 Modeling of Trickle Bed Reactors |
|
|
548 | (1) |
|
9.3.1 Reactor-Scale Bulk Porosity Models |
|
|
549 | (1) |
|
9.3.1.1 Liquid-Limited Reactions |
|
|
549 | (1) |
|
9.3.1.2 Gas-Limited Reactions |
|
|
551 | (2) |
|
9.3.2 Radial Porosity Distribution Models |
|
|
553 | (1) |
|
9.3.3 Interstitial-Scale Models |
|
|
555 | (1) |
|
|
556 | (1) |
|
9.4.1 Reactor-Scale Models |
|
|
556 | (1) |
|
9.4.1.1 Catalyst Identification |
|
|
557 | (1) |
|
9.4.1.2 Kinetic Information |
|
|
557 | (1) |
|
9.4.1.3 Integrating Kinetics and Transport Limitation |
|
|
557 | (1) |
|
9.4.1.4 Prediction of Reactor-Scale Performance |
|
|
558 | (1) |
|
9.4.2 Radial Porosity Distribution Models |
|
|
559 | (1) |
|
9.4.2.1 Residence Time Distribution and Spreading of Liquid Phase |
|
|
559 | (1) |
|
9.4.2.2 Liquid Holdup and Pressure Drop Prediction |
|
|
561 | (1) |
|
9.4.2.3 Simulation of Reactions in Trickle Bed Reactors |
|
|
563 | (4) |
|
9.5 Trickle Bed Reactor Scale-Up |
|
|
567 | (1) |
|
|
568 | (1) |
|
9.6.1 Example 1: Selection of Operating Variables for a Laboratory-Scale Trickle Bed Reactor |
|
|
568 | (1) |
|
9.6.1.1 Step 1. Determine Whether the Reaction Thermodynamics Are Favorable |
|
|
570 | (1) |
|
9.6.1.2 Step 2. Determine the Maximum Catalyst Size That Can Be Used |
|
|
571 | (1) |
|
9.6.1.3 Step 3. Determine an Initial Range of Liquid Flow Rates and the Amount of Catalyst to Be Charged |
|
|
571 | (1) |
|
9.6.1.4 Step 4. Determine the Minimum Values for the Hydrogen Gas Flow Rate |
|
|
571 | (1) |
|
9.6.1.5 Step 5. Determine the Flow Regime |
|
|
572 | (1) |
|
9.6.1.6 Step 6. Determine the Two-Phase Flow Pressure Drops |
|
|
573 | (1) |
|
9.6.2 Example 2: Calculation of Hydrodynamic Conditions |
|
|
574 | (1) |
|
9.6.2.1 Determine the Flow Regime for this Reactor |
|
|
574 | (1) |
|
9.6.2.2 Predicting Trickle Flow to Pulsing Transition |
|
|
574 | (1) |
|
9.6.2.3 Calculate the Total Pressure Drop and Pressure Drop per Unit Length |
|
|
575 | (1) |
|
9.6.2.4 Calculation of External Liquid Holdup |
|
|
576 | (1) |
|
9.6.2.5 Estimate the Liquid-Solid Contacting Efficiency |
|
|
577 | (1) |
|
9.6.2.6 Estimation of Overall Effectiveness of Reactor for Liquid-Limited Reaction |
|
|
578 | (1) |
|
|
579 | (1) |
|
|
579 | (1) |
|
Symbols and Abbreviations |
|
|
579 | (3) |
|
|
582 | (7) |
|
10 Flows with Phase Change |
|
|
589 | (44) |
|
|
|
|
589 | (2) |
|
10.2 Flows with Phase Change: Key Issues |
|
|
591 | (3) |
|
10.3 Approaches for Computational Modeling of Flows with Phase Change |
|
|
594 | (1) |
|
10.3.1 Interface-Resolved Computational Models |
|
|
595 | (1) |
|
10.3.2 Computational Flow Models with Assumption of Interpenetrating Continuum |
|
|
597 | (1) |
|
10.3.2.1 Boiling via Direct Contact Transfer |
|
|
600 | (1) |
|
|
601 | (1) |
|
10.3.2.3 Cavitation Source Terms: |
|
|
602 | (1) |
|
10.3.2.4 Boiling Near Heat Transfer Surfaces |
|
|
602 | (1) |
|
10.3.2.5 Liquid-to-Solid Phase Transitions |
|
|
602 | (3) |
|
10.4 Application Examples |
|
|
605 | (1) |
|
10.4.1 Liquid-to-Gas Phase Transitions |
|
|
606 | (1) |
|
10.4.2 Liquid-to-Solid Phase Transitions |
|
|
611 | (1) |
|
10.4.3 Gas-to-Solid Phase Transitions |
|
|
617 | (4) |
|
|
621 | (1) |
|
Symbols and Abbreviations |
|
|
622 | (2) |
|
|
624 | (9) |
|
Part IV Status and Path Forward |
|
|
633 | (24) |
|
|
635 | (22) |
|
|
|
11.1 Modeling of Multiphase Flows: Current Status |
|
|
636 | (4) |
|
11.2 Computational Modeling for Enabling Process Innovations |
|
|
640 | (6) |
|
|
646 | (5) |
|
|
651 | (6) |
Index |
|
657 | |