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Contributors

... vii

Preface

...

ix

Part 1. General Principles

...

1

1. Phase Equilibria ... 3

1.1 Introduction ... 3

1.2 Thermodynamic Framework for Phase Equilibria ... 4

1.3 Fugacity Coefficients ... 12

1.4 Activity Coefficients ... 24

1.5 Vapor-Liquid Equilibria and Liquid-Liquid Equilibria ... 34

1.6 Fluid-Solid Equilibrium ... 45

1.7. High Pressure Vapor-Liquid Equilibria ... 51

1.8 Summary ... 54

Notation ... 54

References ... 57

2. Mass Transfer Principles ... 60

2.1 Introduction ... 60

2.2 Conservation Laws ... 61

2.3 Molecular Diffusion ... 70

2.4 Mass Transfer in Turbulent Flow ... 100

2.5 Notation ... 121

References ... 123

3. Phase Segregation ... 129

3.1 Basic Mechanisms and Analogies ... 129

3.2 Gas-Liquid Segregation ... 132

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3.4 Liquid-Solid Segregation ... 157

3.5 Gas-Solid Segregation ... 176

Notation ... 193

References ... 195

4. General Processing Considerations ... 197

4.1 Methods of Operation ... 197

4.2 Process Synthesis ... 204

4.3 Control of Separation Processes ... 218

4.4 Special Problems ... 220

References ... 222

Part 2. Individual Separation Processes

...

227

5. Distillation ... 229

5.1 Introduction ... 229

5.2 Phase Equilibrium ... 231

5.3 Equilibrium Stages ... 238

5.4 Specification of Variables ... 258

5.5 Special Distillations ... 261

5.6 Transfer Units ... 275

5.7 Tray-Type Distillation Columns ... 276

5.8 Packed-Type Distillation Columns ... 295

5.9 Mass Transfer in Tray Columns ... 312

5.10 Mass Transfer in Packed Columns ... 323

5.11 Distillation Column Control ... 328

Notation ... 331

References ... 335

6. Absorption and Stripping ... 340

6.1 Basic Concepts ... 340

6.2 Multistage Contactors ... 354

6.3 Differential Contactors ... 364

6.4 Predicting Contactor Performance ... 379

Notation ... 400

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7. Extraction – Organic Chemicals Processing ... 405

7.1 Diffusion and Mass Transfer ... 405

7.2 Equilibrium Considerations ... 414

7.3 Stagewise and Differential Contacting Calculation Methods ... 415

7.4 Stagewise Contact in Perforated Plate Columns ... 432

7.5 Stagewise Contact in Mixer-Settlers ... 434

7.6 Mechanically Agitated Columns ... 438

7.7 Performance and Efficiency of Selected Contactors ... 441

7.8 Solvent and Process Selection ... 445

Notation ... 456

References ... 461

8. Extraction – Metals Processing ... 467

8.1 Introduction ... 467

8.2 Extraction Chemistry and Reagents ... 467

8.3 Phase Equilibria ... 477

8.4 Extraction Kinetics ... 486

8.5 Contacting Equipment and Design Calculations ... 490

8.6 Process Design and Engineering ... 495

8.7 Summary ... 496

References ... 496

9. Leaching – Metals Applications ... 500

9.1 Introduction ... 500

9.2 Leaching Practice ... 504

9.3 Thermodynamics of Leaching ... 522

9.4 Kinetics of Leaching ... 529

Notation ... 536

References ... 536

10. Leaching – Organic Materials ... 540

10.1 Definition of Process ... 540

10.2 Contacting Methods ... 540

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10.4 Products, Raw Materials, and Extraction

Conditions ... 550

10.5 Phase Equilibrium ... 550

10.6 Multistage Equilibrium Countercurrent Extraction ... 550

10.7 Ficks's Laws ... 554

10.8 Unsteady-State Batch Extraction ... 555

10.9 Solute Diffusivities ... 557

10.10 Fixed Beds ... 558

10.11 Axial Dispersion and Flow Maldistribution ... 560

10.12 Superposition-Multistage Countercurrent Extraction ... 563

10.13 Continuous Countercurrent Extraction ... 564

10.14 Diffusion Batteries Performance ... 566

10.15 Differential Extraction ... 566

10.16 Reflux Extractors ... 566

10.17 Solubilization ... 567

10.18 Solvent Selection ... 567

10.19 Equipment Selection ... 568

10.20 Solids Feed Preparation ... 568

10.21 Spent Solids Treatment ... 569

10.22 Hydrodynamic Considerations ... 569

10.23 Solid-Liquid Heat Exchange ... 569

Notation ... 570

References ... 573

11. Crystallization Operations ... 578

11.1 Introductory Comments ... 578

11.2 Fundamentals ... 580

11.3 Solution Crystallization ... 606

11.4 Melt Crystallization ... 626

11.5 General Design and Operational Considerations ... 635

Notation ... 638

References ... 639

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12. Adsorption ... 644

12.1 Introduction ... 644

12.2 Adsorbents ... 645

12.3 Criteria for Adsorption Use ... 653

12.4 Basic Adsorption Cycles ... 654

12.5 Process Flowsheets ... 659

12.6 Selecting a Process ... 668

12.7 Process-Design Considerations ... 669

12.8 Future Directions for Adsorption Technology and Uses ... 690

References ... 691

13. Ion Exchange ... 697

13.1 Principles of Ion Exchange ... 697

13.2 Applications of Ion Exchange ... 711

13.3 Equipment for Ion Exchange ... 717

13.4 Recent Developments in Ion Exchange ... 726

Notation ... 729

References ... 730

14. Large-Scale Chromatography ... 733

14.1 Theory ... 733

14.2 Scale-Up of Elution Chromatography ... 739

14.3 Countercurrent and Simulated Countercurrent Systems ... 745

14.4 Hybrid Systems ... 751

14.5 Other Alternatives ... 753

14.6 System Comparisons ... 756

Acknowledgment ... 756

References ... 757

15. Separation Processes Based on Reversible Chemical Complexation ... 760

Summary ... 760

15.1 Introduction ... 761

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References ... 772

16. Bubble and Foam Separations – Ore Flotation ... 775

16.1 Introduction ... 775

16.2 Flotation Techniques ... 775

16.3 Physicochemical Principles ... 779

16.4 Flotaids ... 792

16.5 Variables in Flotation ... 796

References ... 800

17. Bubble and Foam Separations – Waste Treatment ... 806

17.1 Background ... 806

17.2 Theory of Separation ... 809

17.3 Laboratory Studies ... 814

17.4 Role of Column Design ... 818

17.5 Larger-Scale Studies ... 818

17.6 Applications ... 822

17.7 Conclusions ... 822

References ... 823

18. Ultrafiltration and Reverse Osmosis ... 826

18.1 Ultrafiltration ... 826

18.2 Reverse Osmosis ... 836

References ... 839

Bibliography ... 839

19. Recent Advances in Liquid Membrane Technology ... 840

19.1 Introduction ... 840

19.2 General Description of Liquid Membranes ... 840

19.3 Principles of Separation ... 841

19.4 Practical Applications for Liquid Membranes ... 845

19.5 Conclusions ... 858

References ... 858

20. Separation of Gaseous Mixtures Using Polymer Membranes ... 862

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20.2 General Design Procedures and Application

Examples ... 872

20.3 Measurement and Phenomenological Description of Gas Sorption and Transport in Polymers ... 883

20.4 Fundamentals of Sorption and Transport Processes in Polymers ... 896

20.5 Characterization of Asymmetric Membranes ... 916

20.6 Modeling and Design Considerations ... 920

Notation ... 944

References ... 944

21. Membrane Processes – Dialysis and Electrodialysis ... 954

21.1 Dialysis ... 954

21.2 Electrodialysis ... 968

Notation for Section 21.1 ... 977

References ... 978

22. Selection of a Separation Process ... 982

22.1 Introduction ... 982

22.2 Initial Screening ... 982

22.3 Choosing the Base Case ... 992

22.4 Process Simulation ... 992

22.5 Process Synthesis ... 993

Notation ... 994

References ... 995

References

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