Applications of the Surface Renewal Model of Mass Transfer
1. Edition January 2026
304 Pages, Hardcover
Wiley & Sons Ltd
Introduction to the surface renewal model of mass transfer for the analysis and design of gas-liquid contacting equipment and membrane filters
Applications of the Surface Renewal Model of Mass Transfer provides a rigorous application of the surface renewal theory of mass transfer to describe physical and chemical gas absorption and membrane filtration. This book demonstrates that the surface renewal model can predict the experimentally measured liquid-side physical mass-transfer coefficient in gas absorption with a fair degree of accuracy, shows that the surface renewal model can correlate permeate flux and transmembrane pressure drop data in constant pressure and constant flux microfiltration, and contains numerous examples of the application of the model to real-world situations.
This book includes information on:
* Applications of the surface renewal model in fields like chemical engineering and oceanography
* The complex nature of the surface renewal model as a better description of the turbulent hydrodynamics that prevail at the gas-liquid interface compared to the film model
* Measurements of the liquid-side physical mass-transfer coefficient in gas absorption studies and surface-age distributions in wind-wave tanks
* Flow instabilities induced by wall roughness or spacers or by their deliberate introduction into the main flow in membrane filtration
* Analysis and design of gas-liquid contactors (stirred tanks and packed towers) and membrane filters using a mass-transfer approach
Applications of the Surface Renewal Model of Mass Transfer is an excellent, first-of-its-kind reference for researchers in academia and industry, along with advanced students in chemical engineering, environmental engineering, bioprocess/biological engineering, paper engineering, and related programs of study.
About the Companion Website xv
1 The Surface Renewal Model of Mass Transfer 1
1.1 Introduction 1
1.2 Literature Review 2
2 Age-Distribution Function of the Surface Renewal Model 15
2.1 Introduction 15
2.2 Danckwerts Age Distribution 15
2.3 Generalized Danckwerts Age Distribution 19
3 Physical Gas Absorption in a Large Volume of Liquid 27
3.1 Introduction 27
3.2 Rates of Absorption and Dissolved-Gas Transfer 27
3.3 Comparison of the Surface Renewal Model with Experimental Data 32
4 Physical Gas Absorption in a Stirred Batch Cell 37
4.1 Introduction 37
4.2 Interfacial Mass-Transfer Model 38
4.3 Philosophical Interlude 45
4.4 Bulk Mass-Transfer Model 46
4.5 Analytical Expressions for the Rates of Absorption and Dissolved-Gas Transfer Using the Laplace Transform Method 48
4.6 Conventional Pseudo-Steady-State LDF Model 52
4.7 Absorption of Oxygen and Hydrogen in Water 52
5 Gas Absorption with First-Order Reaction in a Stirred Batch Cell 69
5.1 Introduction 69
5.2 Interfacial Mass-Transfer Model 72
5.3 Bulk Mass-Transfer Model 83
5.4 Analytical Expressions for the Rates of Absorption and Dissolved-Gas Transfer Using the Laplace Transform Method 85
5.5 Pseudo-Steady-State (PSS) Model 89
5.6 Absorption of Oxygen in Water Containing a Liquid-Phase Reagent (e.g., Na2SO3) 91
6 Gas Absorption with First-Order Reaction in a Packed Tower 107
6.1 Introduction 107
6.2 Surface Renewal Model 109
6.3 Film Model 118
6.4 Mass-Transfer and Hydraulic Correlations 121
6.5 Illustrative Calculations 122
7 Gas Absorption with Instantaneous Reaction in a Packed Tower 141
7.1 Introduction 141
7.2 Theoretical Analysis 144
7.3 Illustrative Calculations 166
8 Constant Pressure Crossflow Ultrafiltration (UF) 187
8.1 Introduction 187
8.2 Surface Renewal Model 188
8.3 Film Model 196
8.4 Mass-Transfer Coefficient 196
8.5 Relation Between Limiting Flux and Transmembrane Pressure (TMP) 197
8.6 Application of the Surface Renewal and Film Models 197
9 Constant Pressure Crossflow Microfiltration 213
9.1 Introduction 213
9.2 Surface Renewal Model of Crossflow Microfiltration 216
9.3 Correlation of the Surface Renewal Model with Experimental Permeate Flux Data 224
10 Constant Flux Crossflow Microfiltration 249
10.1 Introduction 249
10.2 Surface Renewal Model of Crossflow Microfiltration 252
10.3 Correlation of the Surface Renewal Model with Experimental TMP Data 258
Notation 271
Greek Letters 272
Acronyms 272
Homework Exercises 273
References 274
Index 277
Dr. Siddharth G. Chatterjee is Associate Professor Emeritus in the Department of Chemical Engineering at SUNY College of Environmental Science and Forestry in Syracuse, New York, USA.