ACKNOWLEDGMENTS xxv

PART I REACTORS AND REACTIONS INWATER QUALITY ENGINEERING

1 Mass Balances 3

1.1 Introduction: The Mass Balance Concept, 3

1.2 The Mass Balance for a System with Unidirectional Flow and Concentration Gradient, 7

1.3 The Mass Balance for a System with Flow and Concentration Gradients in Arbitrary Directions, 20

1.4 The Differential Form of the Three-Dimensional Mass Balance, 24

1.5 Summary, 25

2 Continuous Flow Reactors: Hydraulic Characteristics 29

2.1 Introduction, 29

2.2 Residence Time Distributions, 30

2.3 Ideal Reactors, 42

2.4 Nonideal Reactors, 48

2.5 Equalization, 62

2.6 Summary, 70

3 Reaction Kinetics 81

3.1 Introduction, 81

3.2 Fundamentals, 82

3.3 Kinetics of Irreversible Reactions, 88

3.4 Kinetics of Reversible Reactions, 99

3.5 Kinetics of Sequential Reactions, 107

3.6 The Temperature Dependence of the Rates of Nonelementary Reactions, 114

3.7 Summary, 115

4 Continuous Flow Reactors: Performance Characteristics with Reaction 121

4.1 Introduction, 121

4.2 Extent of Reaction in Single Ideal Reactors at Steady State, 121

4.3 Extent of Reaction in Systems Composed of Multiple Ideal Reactors at Steady State, 130

4.4 Extent of Reaction in Reactors with Nonideal Flow, 135

4.5 Extent of Reaction Under Non-Steady-Conditions in Continuous Flow Reactors, 141

4.6 Summary, 146

PART II REMOVAL OF DISSOLVED CONSTITUENTS FROM WATER

5 Gas Transfer Fundamentals 155

5.1 Introduction, 155

5.2 Types of Engineered Gas Transfer Systems, 159

5.3 Henry’s Law and Gas/Liquid Equilibrium, 162

5.4 Relating Changes in the Gas and Liquid Phases, 170

5.5 Mechanistic Models for Gas Transfer, 170

5.6 The Overall Gas Transfer Rate Coefficient, KL, 179

5.7 Evaluating kL, kG, KL, and a: Effects of Hydrodynamic and Other Operating Conditions, 187

5.8 Summary, 196

6 Gas Transfer: Reactor Design and Analysis 207

6.1 Introduction, 207

6.2 Case I: Gas Transfer in Systems with a Well-Mixed Liquid Phase, 207

6.3 Case II: Gas Transfer in Systems with Spatial Variations in the Concentrations of Both Solution and Gas, 226

6.4 Summary, 241

7 Adsorption Processes: Fundamentals 257

7.1 Introduction, 257

7.2 Examples of Adsorption in Natural and Engineered Aquatic Systems, 262

7.3 Conceptual, Molecular-Scale Models for Adsorption, 266

7.4 Quantifying the Activity of Adsorbed Species and Adsorption Equilibrium Constants, 268

7.5 Quantitative Representations of Adsorption Equilibrium: The Adsorption Isotherm, 269

7.6 Modeling Adsorption Using Surface Pressure to Describe the Activity of Adsorbed Species, 296

7.7 The Polanyi Adsorption Model and the Polanyi Isotherm, 306

7.8 Modeling Other Interactions and Reactions at Surfaces, 314

7.9 Summary, 320

8 Adsorption Processes: Reactor Design and Analysis 327

8.1 Introduction, 327

8.2 Systems with Rapid Attainment of Equilibrium, 328

8.3 Systems with a Slow Approach to Equilibrium, 340

8.4 The Movement of the Mass Transfer Zone Through Fixed Bed Adsorbers, 354

8.5 Chemical Reactions in Fixed Bed Adsorption Systems, 356

8.6 Estimating Long-Term, Full-Scale Performance of Fixed Beds from Short-Term, Bench-Scale Experimental Data, 357

8.7 Competitive Adsorption in Column Operations: The Chromatographic Effect, 359

8.8 Adsorbent Regeneration, 365

8.9 Design Options and Operating Strategies for Fixed Bed Reactors, 366

8.10 Summary, 369

References, 371

Problems, 371

9 Precipitation and Dissolution Processes 379

9.1 Introduction, 379

9.2 Fundamentals of Precipitation Processes, 380

9.3 Precipitation Dynamics: Particle Nucleation and Growth, 384

9.4 Modeling Solution Composition in Precipitation Reactions, 394

9.5 Stoichiometric and Equilibrium Models for Precipitation Reactions, 397

9.6 Solid Dissolution Reactions, 422

9.7 Reactors for Precipitation Reactions, 426

9.8 Summary, 428

10 Redox Processes and Disinfection 435

10.1 Introduction, 435

10.2 Basic Principles and Overview, 435

10.3 Oxidative Processes Involving Common Oxidants, 441

10.4 Advanced Oxidation Processes, 469

10.5 Reductive Processes, 486

10.6 Electrochemical Processes, 488

10.7 Disinfection, 488

10.8 Summary, 502

PART III REMOVAL OF PARTICLES FROM WATER

11 Particle Treatment Processes: Common Elements 519

11.1 Introduction, 519

11.2 Particle Stability, 521

11.3 Chemicals Commonly Used for Destabilization, 532

11.4 Particle Destabilization, 535

11.5 Interactions of Destabilizing Chemicals with Soluble Materials, 542

11.6 Mixing of Chemicals into the Water Stream, 544

11.7 Particle Size Distributions, 546

11.8 Particle Shape, 551

11.9 Particle Density, 552

11.10 Fractal Nature of Flocs, 552

11.11 Summary, 553

12 Flocculation 563

12.1 Introduction, 563

12.2 Changes in Particle Size Distributions by Flocculation, 564

12.3 Flocculation Modeling, 565

12.4 Collision Frequency: Long-Range Force Model, 572

12.5 Collision Efficiency: Short-Range Force Model, 581

12.6 Turbulence and Turbulent Flocculation, 589

12.7 Floc Breakup, 592

12.8 Modeling of Flocculation with Fractal Dimensions, 594

12.9 Summary, 596

13 Gravity Separations 603

13.1 Introduction, 603

13.2 Engineered Systems for Gravity Separations, 605

13.3 Sedimentation of Individual Particles, 607

13.4 Batch Sedimentation: Type I, 612

13.5 Batch Sedimentation: Type II, 618

13.6 Continuous Flow Ideal Settling, 622

13.7 Effects of Nonideal Flow on Sedimentation Reactor Performance, 639

13.8 Thickening, 644

13.9 Flotation, 655

13.10 Summary, 669

14 Granular Media Filtration 677

14.1 Introduction, 677

14.2 ATypical Filter Run, 680

14.3 General Mathematical Description of Particle Removal: Iwasaki’s Model, 683

14.4 Clean Bed Removal, 684

14.5 Predicted Clean Bed Removal in Standard Water and Wastewater Treatment Filters, 694

14.6 Head Loss in a Clean Filter Bed, 698

14.7 Filtration Dynamics: Experimental Findings of Changes with Time, 700

14.8 Models of Filtration Dynamics, 709

14.9 Filter Cleaning, 714

14.10 Summary, 717

PART IV MEMBRANE-BASED WATER AND WASTEWATER TREATMENT

15 Membrane Processes 731

15.1 Introduction, 731

15.2 Overview of Membrane System Operation, 732

15.3 Membranes, Modules, and the Mechanics of Membrane Treatment, 734

15.4 Parameters Used to Describe Membrane Systems, 742

15.5 Overview of Pressure-Driven Membrane Systems, 749

15.6 Quantifying Driving Forces in Membrane Systems, 752

15.7 Quantitative Modeling of Pressure-Driven Membrane Systems, 759

15.8 Modeling Transport of Water and Contaminants From Bulk Solution to the Surface of Pressure-Driven Membranes, 773

15.9 Effects of Crossflow on Permeation and Fouling, 792

15.10 Electrodialysis, 816

15.11 Modeling Dense Membrane Systems Using Irreversible Thermodynamics, 834

15.12 Summary, 838

INDEX 847

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