Basic Equations of the Mass Transport Through a Membrane Layer 1st Edition by Endre Nagy ISBN 0124160255 9780124160255

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ISBN 10: 0124160255 
ISBN 13: 9780124160255
Author: Endre Nagy

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.

Basic Equations of the Mass Transport Through a Membrane Layer 1st Table of contents:

1 On Mass Transport Through a Membrane Layer
1.1 General Remarks
1.1.1 Transport of Dilute Solution
1.1.2 Transfer Rate of Concentrated Feed Solution
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
1.5.1 In Polymeric Dense Membranes
1.5.2 In Ceramic (Zeolite) Membranes
1.5.3 In Porous Media
1.6 Flory–Huggins Theory for Prediction of the Activity
1.6.1 With Maxwell–Stefan Equation
1.7 UNIQUAC Model
References

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
2.5.1 In a Dense Membrane
2.5.2 In a Porous Membrane
2.6 Transport with Convective Velocity Due to Component Diffusion
2.7 Ion Transport and Hindrance Factors
References

3 Diffusion Through a Plane Membrane Layer
3.1 Introduction
3.2 Steady-State Diffusion
3.2.1 Concentration-Dependent Diffusion Coefficient
3.2.2 Concentration-Dependent Solubility Coefficient
3.2.3 Mass Transfer Through a Composite Membrane
3.2.4 Binary, Coupled Component Diffusion Transport
3.2.5 Case Studies
3.3 Nonsteady-State Diffusion
3.3.1 With External Mass Transfer Resistance
3.3.2 Boltzmann’s Transformation Solution
3.3.3 Variable Diffusion Coefficient Solution
References

4 Diffusion Accompanied by Chemical Reaction Through a Plane Sheet
4.1 Introduction
4.2 Steady-State Condition
4.2.1 Catalytic Layer or Nanometer-Sized Membranes
4.2.2 Zero-Order Reaction
4.2.3 Second-Order Reaction
4.2.4 Michaelis–Menten or Monod Kinetics
4.2.5 Asymmetric Catalytic Membrane
4.2.6 Micrometer-Sized Dispersed Catalyst Particles
4.2.7 Analytical Solution with Variable Parameters
4.3 Unsteady-State Diffusion and Reaction
References

5 Diffusive Plus Convective Mass Transport Through a Plane Membrane Layer
5.1 Introduction
5.2 Without Chemical Reaction
5.3 With Catalytic Layers or Fine Catalysts
5.3.1 First-Order Reaction
5.3.2 Zero-Order Reaction
5.3.3 Variable Parameters
5.3.4 Asymmetric Catalytic Membrane
References

6 Diffusion in a Cylindrical Membrane Layer
6.1 Introduction
6.2 Steady-State Diffusion
6.2.1 Concentration-Dependent Diffusion Coefficient
6.2.2 Concentration-Dependent Solubility Coefficient
6.2.3 Composite Membrane Transport
6.3 Diffusion with Chemical Reaction
6.3.1 Bessel Function Solution
6.3.2 Analytical Approach
6.3.3 Zero-Order Reaction
References

7 Transport of Fluid Phase in a Capillary Membrane
7.1 Introduction
7.2 Flow Models on Both Sides of Capillary Membrane Modules
7.3 Special Cases
7.3.1 Axial Flow in a Circular Tube (Impermeable Wall)
7.3.2 Ultrafiltration in a Permeable Capillary Tube (Song, 1998)
7.3.3 Low Transverse Convective Velocity
7.3.4 Component Model on Feed Side
7.3.5 Plane Membrane Modules (Rectangular Coordinates)
References

8 Membrane Reactor
8.1 Introduction
8.2 Reactor Configurations
8.3 Reaction Rate
8.4 Modeling Membrane Reactors
8.4.1 With Catalytic Membrane Layer
8.4.2 Packed-Bed Reactor
8.4.3 Catalytic Membrane Reactor
References

9 Membrane Bioreactor
9.1 Introduction
9.2 Bioreactor Configurations
9.3 Enzyme Membrane Reactor
9.3.1 Capillary Enzyme Reactor Modeling
9.4 Mass Transfer in Biocatalytic Layers
9.4.1 Asymmetric Enzyme Membrane Layer
9.4.2 Whole Cell/Biofilm Reactor Modeling
References

10 Nanofiltration
10.1 Introduction
10.2 Transport of Uncharged Solutes
10.3 Two-Layer Mass Transport (Nagy et al.)
10.3.1 Concentration Distribution
10.3.2 Permeate Concentration (cp)
10.3.3 Using Mass Transfer Rates of Layers
10.4 Solvent-Resistant Nanofiltration
10.5 Spiegler–Kedem Transport Model
10.6 Ionic Component Nanofiltration
References

11 Pervaporation
11.1 Introduction
11.2 Fundamentals
11.3 Solution-Diffusion Model
11.4 Polarization Model Equations
11.5 Combined Polarization and Membrane Layer Effects
11.5.1 Relationship Between φδ and cp
11.6 Concentration-Dependent Diffusivity
11.6.1 Exponential Form: D = D₀e^αφ
11.6.2 Linear Form: D = D₀(1 + αφ)
11.7 Coupled Diffusion
References

12 Membrane Contactors
12.1 Introduction
12.2 Mass Transport
12.2.1 Diffusion Through Pores

Membrane Distillation
12.3 Introduction
12.4 Mass Transport in Distillation
12.4.1 Knudsen Diffusion
12.4.2 Knudsen-Viscous Transition
12.4.3 Knudsen-Molecular Diffusion
12.4.4 Boundary Layer Mass Transfer Correlation
12.4.5 Heat Transfer Correlations
12.5 Mass and Heat Balance in Lumen and Shell

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