Preface xxix About the Author xxxvii Notation xxxix Part I: Fundamentals of Mass Transfer Modeling 1 Chapter 1: Introduction to Modeling of Mass Transfer Processes 3 1.1 What Is Mass Transfer? 5 1.2 Preliminaries: Continuum and Concentration 7 1.3 Flux Vector 10 1.4 Concentration Jump at Interface 15 1.5 Application Examples 20 1.6 Basic Methodology of Model Development 28 1.7 Conservation Principle 29 1.

8 Differential Models 30 1.9 Macroscopic Scale 32 1.10 Mesoscopic or Cross-Section Averaged Models 37 1.11 Compartmental Models 43 Chapter 2: Examples of Differential (1-D) Balances 51 2.1 Cartesian Coordinates 52 2.2 Cylindrical Coordinates 67 2.3 Spherical Coordinates 73 Chapter 3: Examples of Macroscopic Models 85 3.1 Macroscopic Balance 87 3.

2 The Batch Reactor 90 3.3 Reactor-Separator Combination 96 3.4 Sublimation of a Spherical Particle 101 3.5 Dissolved Oxygen Concentration in a Stirred Tank 104 3.6 Continuous Stirred Tank Reactor 106 3.7 Tracer Experiments: Test for Backmixed Assumption 110 3.8 Liquid-Liquid Extraction 112 Chapter 4: Examples of Mesoscopic Models 123 4.1 Solid Dissolution from a Wall 124 4.

2 Tubular Flow Reactor 129 4.3 Mass Exchangers 134 Chapter 5: Equations of Mass Transfer 151 5.1 Flux Form 153 5.2 Frame of Reference 156 5.3 Properties of Diffusion Flux 163 5.4 Pseudo-Binary Diffusivity 165 5.5 Concentration Form 166 5.6 Common Boundary Conditions 171 5.

7 Macroscopic Models: Single-Phase Systems 172 5.8 Multiphase Systems: Local Volume Averaging 175 Chapter 6: Diffusion-Dominated Processes and the Film Model 185 6.1 Steady State Diffusion: No Reaction 186 6.2 Diffusion-Induced Convection 193 6.3 Film Concept in Mass Transfer Analysis 198 6.4 Surface Reactions: Role of Mass Transfer 206 6.5 Gas-Liquid Interface: Two-Film Model 212 Chapter 7: Phenomena of Diffusion 223 7.1 Diffusion Coeffcients in Gases 224 7.

2 Diffusion Coeffcients in Liquids 237 7.3 Non-Ideal Liquids 243 7.4 Solid-Solid Diffusion 246 7.5 Diffusion of Fluids in Porous Solids 248 7.6 Heterogeneous Media 254 7.7 Polymeric Membranes 256 7.8 Other Complex Effects 257 Chapter 8: Transient Diffusion Processes 265 8.1 Transient Diffusion Problems in 1-D 266 8.

2 Solution for Slab: Dirichlet Case 267 8.3 Solutions for Slab: Robin Condition 276 8.4 Solution for Cylinders and Spheres 278 8.5 Transient Non-Homogeneous Problems 283 8.6 2-D Problems: Product Solution Method 285 8.7 Semi-Infinite Slab Analysis 287 8.8 Penetration Theory of Mass Transfer 294 8.9 Transient Diffusion with Variable Diffusivity 295 8.

10 Eigenvalue Computations with CHEBFUN 297 8.11 Computations with PDEPE Solver 299 Chapter 9: Basics of Convective Mass Transport 309 9.1 Definitions for External and Internal Flows 310 9.2 Relation to Differential Model 311 9.3 Key Dimensionless Groups 313 9.4 Mass Transfer in Flows in Pipes and Channels 315 9.5 Mass Transfer in Flow over a Flat Plate 316 9.6 Mass Transfer for Film Flow 318 9.

7 Mass Transfer from a Solid Sphere 320 9.8 Mass Transfer from a Gas Bubble 321 9.9 Mass Transfer in Mechanically Agitated Tanks 325 9.10 Gas-Liquid Mass Transfer in a Packed Bed Absorber 327 Chapter 10: Convective Mass Transfer: Theory for Internal Laminar Flow 335 10.1 Mass Transfer in Laminar Flow in a Pipe 336 10.2 Wall Reaction: The Robin Problem 344 10.3 Entry Region Analysis 348 10.4 Channel Flows with Mass Transfer 350 10.

5 Mass Transfer in Film Flow 353 10.6 Numerical Solution with PDEPE 358 Chapter 11: Mass Transfer in Laminar Boundary Layers 365 11.1 Flat Plate with Low Flux Mass Transfer 366 11.2 Integral Balance Approach 376 11.3 High Flux Analysis 383 11.4 Mass Transfer for Flow over Inclined and Curved Surfaces 388 11.5 Bubbles and Drops 396 Chapter 12: Convective Mass Transfer in Turbulent Flow 403 12.1 Properties of Turbulent Flow 404 12.

2 Properties of Time Averaging 406 12.3 Time-Averaged Equation of Mass Transfer 408 12.4 Closure Models 411 12.5 Velocity and Turbulent Diffusivity Profiles 413 12.6 Turbulent Mass Transfer in Channels and Pipes 417 12.7 Van Driest Model for Large Sc 425 12.8 Turbulent Mass Transfer at Gas-Liquid Interface 427 Chapter 13: Macroscopic and Compartmental Models 435 13.1 Stirred Reactor: The Backmixing Assumption 436 13.

2 Transient Balance: Tracer Studies 438 13.3 Moment Analysis of Tracer Data 444 13.4 Tanks in Series Models: Reactor Performance 449 13.5 Macrofluid Models 450 13.6 Variance-Based Models for Partial Micromixing 453 13.7 Compartmental Models 454 13.8 Compartmental Models for Environmental Transport 459 13.9 Fluid-Fluid Systems 462 13.

10 Models for Multistage Cascades 465 Chapter 14: Mesoscopic Models and the Concept of Dispersion 475 14.1 Plug Flow Idealization 476 14.2 Dispersion Model 478 14.3 Dispersion Coeffcient: Tracer Response Method 484 14.4 Taylor Model for Dispersion in Laminar Flow 488 14.5 Segregated Flow Model 491 14.6 Dispersion Coe[1]cient Values for Some Common Cases 493 14.7 Two-Phase Flow: Models Based on Ideal Flow Patterns 495 14.

8 Tracer Response in Two-Phase Systems 503 Chapter 15: Mass Transfer: Multicomponent Systems 517 15.1 Constitutive Model for Multicomponent Transport 518 15.2 Computations for a Reacting System 520 15.3 Heterogeneous Reactions 525 15.4 Non-Reacting Systems 528 15.5 Multicomponent Diffusivity Matrix 535 Chapter 16: Mass Transport in Electrolytic Systems 543 16.1 Transport of Charged Species: Preliminaries 544 16.2 Charge Neutrality 547 16.

3 General Expression for the Electric Field 548 16.4 Electrolyte Transport across Uncharged Membrane 551 16.5 Transpo.