Introduction

• Generalized Transport Phenomena Approach to Problem Analysis
• General Content

Conservation Laws and Field Equations

• Concentrations, Velocities, and Fluxes
• Thermodynamics of Purely Viscous Fluid Mixtures
• Conservation of Mass for a One-Component System
• Conservation of Mass for a Mixture
• Modification of Field Equations for Mass Transfer
• Conservation of Linear Momentum for One-Component Systems
• Conservation of Linear Momentum for a Mixture
• Conservation of Moment of Momentum for One-Component Systems
• Conservation of Moment of Momentum for a Mixture
• Strategies for the Solution of Mass Transfer Problems

Boundary Conditions

• Definitions
• Jump Balances for Mass Conservation
• Jump Balances for Linear Momentum Conservation
• Postulated Boundary Conditions at Phase Interfaces
• Boundary Conditions in the Absence of Mass Transfer
• Utilization of Jump Balances
• Additional Comments on Boundary Conditions
• Boundary Conditions and Uniqueness of Solutions

Constitutive Equations

• Constitutive Principles
• First-Order Theory for Binary Systems
• Combined Field and Constitutive Equations for First-Order Binary Theory
• First-Order Theory for Ternary Systems
• Special Second-Order Theory for Binary Systems
• Viscoelastic Effects in Flow and Diffusion
• Validity of Constitutive Equations

• General Approach in Parameter Determination
• Diffusion in Polymer–Solvent Mixtures
• Diffusion in Infinitely Dilute Polymer Solutions
• Diffusion in Dilute Polymer Solutions
• Diffusion in Concentrated Polymer Solutions - Free-Volume Theory for Self-Diffusion
• Diffusion in Concentrated Polymer Solutions - Mutual Diffusion Process
• Diffusion in Crosslinked Polymers
• Additional Properties of Diffusion Coefficients

• Volumetric Behavior of Polymer–Penetrant Systems
• Sorption Behavior of Polymer–Penetrant Systems
• Antiplasticization
• Nonequilibrium at Polymer–Penetrant Interfaces

• Basic Definitions
• Classification of Second-Order Partial Differential Equations
• Specification of Boundary Conditions
• Sturm–Liouville Theory
• Series and Integral Representations of Functions
• Solution Methods for Partial Differential Equations
• Separation of Variables Method
• Separation of Variables Solutions
• Integral Transforms
• Similarity Transformations
• Green's Functions for Ordinary Differential Equations
• Green's Functions for Elliptic Equations
• Green's Functions for Parabolic Equations
• Perturbation Solutions
• Weighted Residual Method

• Proposed Solution Methods
• Induced Convection

• Mixing of Two Ideal Gases
• Steady Evaporation of a Liquid in a Tube
• Unsteady-State Evaporation
• Analysis of Free Diffusion Experiments
• Dissolution of a Rubbery Polymer
• Bubble Growth from Zero Initial Size
• Stability Behavior and Negative Concentrations in Ternary Systems
• Analysis of Impurity Migration in Plastic Containers
• Efficiency of Green's Function Solution Method
• Mass Transfer in Tube Flow
• Time-Dependent Interfacial Resistance
• Laminar Liquid Jet Diffusion Analysis
• Analysis of the Diaphragm Cell
• Dissolved Organic Carbon Removal from Marine Aquariums
• Unsteady Diffusion in a Block Copolymer
• Drying of Solvent-Coated Polymer Films
• Flow and Diffusion Past a Flat Plate with Solid Dissolution
• Gas Absorption in Vertical Laminar Liquid Jets
• Utilization of Polymers in Drug Delivery
• Gas Absorption and Diffusion into a Falling Liquid Film

• Dissolution of a Plane Surface of a Pure Gas Phase
• Bubble Dissolution
• Singular Perturbations in Moving Boundary Problems
• Dropping Mercury Electrode
• Sorption in Thin Films
• Numerical Analysis of Mass Transfer Moving Boundary Problems

• Design of a Tubular Polymerization Reactor
• Transport Effects in Low-Pressure CVD Reactors
• Solution of Reaction Problems with First-Order Reactions
• Plug Flow Reactors with Variable Mass Density
• Bubble Dissolution and Chemical Reaction
• Danckwerts Boundary Conditions for Chemical Reactors

• Assumptions Used in the Theory for Membrane Transport
• Steady Mass Transport in Binary Membranes
• Steady Mass Transport in Ternary Membranes
• Unsteady Mass Transport in Binary Membranes
• Phase Inversion Process for Forming Asymmetric Membranes
• Pressure Effects in Membranes

• Derivation of a Short-Time Solution Form for Sorption in Thin Films
• Sorption to a Film from a Pure Fluid of Finite Volume
• A General Analysis of Sorption in Thin Films
• Analysis of Step-Change Sorption Experiments
• Integral Sorption in Glassy Polymers
• Integral Sorption in Rubbery Polymers
• Oscillatory Diffusion and Diffusion Waves

• Formulation of Taylor Dispersion Problem
• Dispersion in Laminar Tube Flow for Low Peclet Numbers
• Dispersion in Laminar Tube Flow for Long Times
• Dispersion in Laminar Tube Flow for Short Times
• Analysis of an Inverse Gas Chromatography Experiment

• Wave Propagation in Binary Fluid Mixtures
• Hyperbolic Waves
• Dispersive Waves
• Time Effects for Parabolic and Hyperbolic Equations
• Sedimentation Equilibrium

• Experimental Results for Sorption Experiments
• Viscoelastic Effects in Step-Change Sorption Experiments
• Slow Bubble Dissolution in a Viscoelastic Fluid

• Relationships Between Fixed and Moving Reference Frames
• Field Equations in Moving Reference Frames
• Steady Diffusion in an Ultracentrifuge
• Material Time Derivative Operators
• Frame Indifference of Material Time Derivatives
• Frame Indifference of Velocity Gradient Tensor
• Rheological Implications

• General Notation Conventions
• Vectors
• Tensors
• Results for Curvilinear Coordinates
• Material and Spatial Representations
• Reynolds' Transport Theorem