Basic Equations of the Mass Transport through a Membrane Layer

Basic Equations of the Mass Transport through a Membrane Layer, 1st Edition

Basic Equations of the Mass Transport through a Membrane Layer, 1st Edition,Endre Nagy,ISBN9780123914255





Provides a detailed survey of every membrane and membrane process with theoretical and practical examples and equations.

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Key Features

  • Detailed survey of the theoretical and practical aspects of every membrane process with specific equations
  • Practical examples discussed in detail with clear steps
  • Will assist in planning and preparation of more efficient membrane structure separation


With a detailed analysis of the mass transport through membrane layers and its effect on different separation processes, this book provides a comprehensive look at the theoretical and practical aspects of membrane transport properties and functions. Basic equations for every membrane are provided to predict the mass transfer rate, the concentration distribution, the convective velocity, the separation efficiency, and the effect of chemical or biochemical reaction taking into account the heterogeneity of the membrane layer to help better understand the mechanisms of the separation processes. The reader will be able to describe membrane separation processes and the membrane reactors as well as choose the most suitable membrane structure for separation and for membrane reactor. Containing detailed discussion of the latest results in transport processes and separation processes, this book is essential for chemistry students and practitioners of chemical engineering and process engineering.


Chemists, Engineers

Endre Nagy

Affiliations and Expertise

Director, Research Institute of Chemical and Process Engineering, University of Pannonia, Hungary

Basic Equations of the Mass Transport through a Membrane Layer, 1st Edition



1. On Mass Transport Through a Membrane Layer

1.1. General Remarks

1.2. Transport Through Dense Membrane: Solution-Diffusion Theory

1.3. Convective Transport Through a Porous Membrane Layer

1.4. Component Transport Through a Porous membrane

1.5. Application of the Maxwell–Stefan Equations

1.6. Flory–Huggins Theory for Prediction of the Activity

1.7. UNIQUAC Model

2. Molecular Diffusion

2.1. Introduction

2.2. Gas Diffusivities

2.3. Prediction of Diffusivities in Liquids

2.4. Diffusion of an Electrolyte Solution

2.5. Diffusion in a Membrane

2.6. Transport with Convective Velocity Due to the Component Diffusion

2.7. Ion Transport and Hindrance Factors

3. Diffusion Through a Plane Membrane Layer

3.1. Introduction

3.2. Steady-State Diffusion

3.3. Nonsteady-State Diffusion

4. Diffusion Accompanied by Chemical Reaction Through a Plane Sheet

4.1. Introduction

4.2. Steady-State Condition

4.3. Unsteady-State Diffusion and Reaction

5. Diffusive Plus Convective Mass Transport Through a Plane Membrane Layer

5.1. Introduction

5.2. Mass Transport Without Chemical Reaction

5.3. Diffusive Plus Convective Mass Transport with an Intrinsic Catalytic Layer or with Fine Catalytic Particles

6. Diffusion in a Cylindrical Membrane Layer

6.1. Introduction

6.2. Steady-State Diffusion

6.3. Diffusion Accompanied by Chemical Reaction

7. Transport of Fluid Phase in a Capillary Membrane

7.1. Introduction

7.2. Flow Models for Fluid Phases on Both Sides of Capillary Membrane Modules

7.3. Special Cases

8. Membrane Reactor

8.1. Introduction

8.2. Membrane Reactor Configurations

8.3. Reaction Rate

8.4. Modeling of Membrane Reactors

9. Membrane Bioreactor

9.1. Introduction

9.2. Configurations of Membrane Bioreactors

9.3. Enzyme Membrane Reactor

9.4. Mass Transfer Through a Biocatalytic Membrane Layer

10. Nanofiltration

10.1. Introduction

10.2. Transport of Uncharged Solutes in Aqueous Solution

10.3. Two-Layer Mass Transport: Coupled Effect of the Polarization and Membrane Layers (Nagy et al., 2011)

10.4. Solvent-Resistant Nanofiltration

10.5. Spiegler–Kedem Transport Model

10.6. Nanofiltration of Ionic Components

11. Pervaporation

11.1. Introduction

11.2. Fundamentals of Pervaporation

11.3. Solution-Diffusion Model for Pervaporation

11.4. Basic Equations of the Polarization Model

11.5. Simultaneous Effect of the Polarization and Membrane Layers

11.6. Concentration-Dependent Diffusivity

11.7. Coupled Diffusion

12. Membrane Contactors

12.1. Introduction

12.2. Mass Transport

12.4. Mass Transport Through the Membrane

12.5. Mass and Heat Balance Equations for the Lumen and Shell


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