This book presents the editor's recently proposed mathematical models for flux prediction in membrane filtration. It also provides typical mathematical models used in the development of membrane fouling control and explains the step-by-step derivation of these models. The book then highlights how these mathematical models provide insights into the mechanisms of membrane fouling and cleaning to allow for a better understanding of the complete membrane filtration process. Given its scope, this book appeals to a broad readership, particularly professionals at universities as well as engineers engaged in membrane separation in an industrial process.
Author(s): Zhan Wang
Publisher: Springer
Year: 2023
Language: English
Pages: 216
City: Singapore
Preface
Contents
Basic Knowledge
1 Accumulated Permeate Volume (m3)
2 Membrane Flux (m3/(m2 · s))
3 Resistance (m−1)
3.1 The Concentration Polarization Resistance (m−1)
3.2 The Virgin Membrane Resistance (m−1)
3.3 The Cake Resistance (Rc(t)) (m−1)
3.4 The Pope Resistance (Rp(t)) (m−1)
4 The Specific Resistance
4.1 The Specific Resistance Per Unit Thickness (m- 2)
4.2 The Specific Resistance Per Unit Mass (m/kg)
5 The Flux Recovery Ratio (FRR)
6 The Trans-Membrane Pressure Recovery (PRR)
7 The Hydraulic Cleaning Efficiency (CE)
8 The Filtration Efficiency (P) (m3 · m−2 · s−1)
9 Operation Mode
9.1 Constant Pressure Mode
9.2 Constant Flow (Rate) Mode
9.3 Dead-End Filtration
9.4 Cross-Flow Filtration
10 Shear Stress
11 Critical Flux
12 Diffuse Coefficient
13 Three Basic Approaches for Establishing Model
13.1 Empirical Method
13.2 Machine Learning Method (Black-Box Model)
13.3 Mathematical Method
References
Constant Pressure Mode
1 Empirical Model
2 Theoretical Model
2.1 Concentration Polarization Model
2.2 Individual (Single) Mechanism Model
3 Combined Model
3.1 Applications of Resistance-in-Series Theory
3.2 Ho-Zydney Model
3.3 Bolton Model for Constant Pressure Mode
3.4 Hou Model
3.5 Yao Model
3.6 Cake Equilibrium Coefficient Model (Li Model)
References
Constant Flowrate Filtration
1 Introduction
2 Fouling Mechanism
2.1 Single Mechanism
2.2 Single Mechanism Model in Dead-End Mode for Newtonian Fluid
2.3 Single Mechanism Model in Dead-End Mode (Non-Newtonian Fluids)
2.4 Single Mechanism Model in Cross-Flow Mode
2.5 Combined Two-Mechanism Model
2.6 Combined Tree Mechanism Model
2.7 Other Model
References
Water Rinsing
1 Introduction
2 Water Rinsing Model
2.1 Cabero’s Model [11]
2.2 Kong’s Empirical Model [9]
2.3 Kong’s Theoretical Model [18]
2.4 Guo’s Model [19]
2.5 Wang’s Model [24]
2.6 Qiao’s Model [28]
2.7 Yao’s Model [29]
2.8 Qao’s Model [33]
2.9 Wang’s Model [40]
References
Backwashing
1 Introduction
2 Water Rinsing Model
2.1 Ye’s Model [20]
2.2 Charfi’s Model [21]
2.3 Gao’s Model [22]
2.4 Qiao’s Model [29]
References
Chemical Cleaning
1 Introduction
2 Chemical Cleaning Model
2.1 Hou’s Model [21]
2.2 Wang’s Model [25]
2.3 Bird’s Model [26]
2.4 Popović’s Model [22]
2.5 Zator’s Model [27]
2.6 Koyuncu’s Model [29]
References
Ultrasonic Cleaning
1 Introduction
2 Ultrasonic Cleaning Model
2.1 Alventosa-Delara’s Model [11]
2.2 Luo’s Model [22]
References
