Granular Filtration of Aerosols and Hydrosols - 1st Edition - ISBN: 9780409900439, 9781483162423

Granular Filtration of Aerosols and Hydrosols

1st Edition

Butterworths Series in Chemical Engineering

Authors: Chi Tien
Editors: Howard Brenner
eBook ISBN: 9781483162423
Imprint: Butterworth-Heinemann
Published Date: 26th April 1989
Page Count: 380
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Granular Filtration of Aerosols and Hydrosols is concerned with the fundamental aspects of granular filtration of both liquid and gas suspensions.

This book takes a unifying approach to the treatment of granular aerosol and hydrosol filtration. The text begins with the introduction of the process of granular filtration and its various applications. Subsequent chapters discuss the aspects of filtration, such as, the macroscopic description of fixed-bed granular filtration; the methods for making representations based on various porous media models for both clean and clogged filter media; the mechanisms of particle deposition; and the trajectory analysis of particle deposition. The final chapter presents and discusses case studies which deal with predicting and calculating the dynamic behavior of granular filtration of hydrosols and aerosols.

Researchers in granular filtration and graduate students dealing with separation technology will find the book highly useful.

Table of Contents


1 Introduction

1.1 Granular Filtration as a Fluid-Particle Separation Technology

1.2 Granular Filtration Versus Fibrous Filtration

1.3 Granular Filtration Versus Fixed-Bed Adsorption

1.4 Granular Filtration and Other Clarification Processes

1.5 Granular Filtration for Water Treatment

1.6 Granular Filtration for Gas Cleaning


2 Macroscopic Description of Fixed-Bed Granular Filtration

2.1 Formulation of the Macroscopic Equations

2.2 Phenomenological Expression for Filtration Rate

2.3 Pressure Gradient-Flow Rate Relationship

2.4 Solution of the Macroscopic Equations

2.5 Determination of λ0, F(α, σ), and G(β, σ) from Experimental Data

2.6 Description of Filtration as a Stochastic Process


3 Model Representation of Granular Media

3.1 Basic Premise

3.2 Relationship Between the Filter Coefficient λ and the Efficiency of the Unit Collector e

3.3 Specifications of Collectors Present in a Unit Bed Element—Application of Porous Media Models

3.4 Single-Collector Efficiency

3.5 Representation of an Entire Filter

3.6 Model Representation of Clogged Filter Media


4 Mechanisms of Particle Deposition

4.1 Particle Deposition by Inertial Impaction

4.2 Particle Deposition by Interception

4.3 Particle Deposition by Sedimentation

4.4 Particle Deposition by Electrostatic Forces

4.5 Particle Deposition by Brownian Diffusion

4.6 Straining


5 Trajectory Analysis of Particle Deposition

5.1 General Discussion

5.2 Drag Force Expressions FD

5.3 Expressions of Drag Force and Torque with the Hydrodynamic Retardation Effect

5.4 External Force

5.5 Trajectory Equations of Hydrosols

5.6 Trajectory Equations of Aerosols

5.7 Limiting Trajectory Concept

5.8 Determination of the Limiting Trajectory


Appendix 5A

Appendix 5B

6 Initial Collection Efficiencies of Aerosols in Granular Media

6.1 Relationship Between the Filter Coefficient λ, the Unit Collector Efficiency e, the Individual Collector Efficiency η, and the Single Collector Efficiency ηs

6.2 Collection Efficiencies from Trajectory Analysis

6.3 Experimental Determination of Initial Collection Efficiency

6.4 Experimental Results

6.5 General Correlation of η0 and Its Development

6.6 Comparison of Correlations with Experiments

6.7 Adhesion Probability


7 Filter Coefficients of Hydrosols

7.1 Results of Trajectory Analysis

7.2 Experimental Determination of λ0

7.3 Comparisons Between Experiments and Predictions from Trajectory Analysis

7.4 Correlation of Initial Filter Coefficient

7.5 Filter Coefficient in the Presence of Unfavorable Surface Interactions

7.6 Particle Attachment Efficiency: Its Concept, Estimation, and Application

7.7 Model of Particle Adhesion

7.8 Nonuniform Surface Potential of Filter Grains and Particles


8 The Process of Particle Deposition in Granular Media: Description and Formulation

8.1 Particle Deposition as a Dendrite Growth Process

8.2 Stochastic Simulation of Particle Deposition

8.3 Stochastic Simulation of Particle Deposition on a Spherical Collector

8.4 Stochastic Simulation of Particle Deposition within a Constricted Tube

8.5 Simulation of Particle Deposition Including the Brownian Diffusion Effect

8.6 Adhesion of Impacting Aerosol Particles


9 Case Studies on the Dynamic Behavior of Granular Filtration

9.1 A Model for Filter Ripening

9.2 Effect of the Change in Surface Charge of Filter Grains Caused by Deposition

9.3 Effect of Deposit Morphology on Filter Performance

9.4 Correlation for the Increase in Hydrosol Filter Coefficient

9.5 Experimental Determination of the Effect of Deposition on Aerosol Filtration

9.6 Calculation of Aerosol Deposition in Fluidized Filters


Author Index

Subject Index


No. of pages:
© Butterworth-Heinemann 1989
eBook ISBN:

About the Author

Chi Tien

Chi Tien (BSc., National Taiwan University, 1952; MSc., 1954; PhD., Northwestern University, 1958) is professor emeritus of chemical engineering at Syracuse University. During his teaching career, Professor Tien also taught at the University of Tulsa, University of Windsor, National University of Singapore, and Nanyang Technological University. In addition, he had visiting appointments with University of Leeds, Karlsruhe University, and University of Duisburg-Essen. For over 60 years, Professor Tien has been actively engaged in fluid/particle separation and adsorption research and has published widely. He authored and coauthored a number of books including Granular Filtration of Aerosols and Hydrosols, 1st Ed. (Butterworths), Adsorption Calculations and Modeling (Butterworths-Heinemann), Kinetics of Metal Ion Adsorption from Aqueous Solutions: Models, Algorithms, and Applications (with S. Yiacoumi, Kluwer Academic Publisher), Introduction to Cake Filtration: Analyses, Experiments, and Applications (Elsevier), Granular Filtration of Aerosols and Hydrosols, 2nd Ed. (with B. V. Ramaro, Elsevier), and Principles of Filtration (Elsevier).

Affiliations and Expertise

Department of Biomedical and Chemical Engineering, Syracuse University, Syracuse, NY, USA

About the Editor

Howard Brenner

Affiliations and Expertise

Massachusetts Institute of Technology

Ratings and Reviews