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Containing contributions from leading academic and industrial researchers, this book provides a much needed update of foam science research. The first section of the book presents an accessible summary of the theory and fundamentals of foams. This includes chapters on morphology, drainage, Ostwald ripening, coalescence, rheology, and pneumatic foams. The second section demonstrates how this theory is used in a wide range of industrial applications, including foam fractionation, froth flotation and foam mitigation. It includes chapters on suprafroths, flotation of oil sands, foams in enhancing petroleum recovery, Gas-liquid Mass Transfer in foam, foams in glass manufacturing, fire-fighting foam technology and consumer product foams. Key features: * Foam fractionation is an exciting and emerging technology, starting to gain significant attention * Discusses a vital topic for many industries, especially mineral processing, petroleum engineering, bioengineering, consumer products and food sector * Links foam science theory to industrial applications, making it accessible to an engineering science audience * Summarizes the latest developments in this rapidly progressing area of research * Contains contributions from leading international researchers from academia and industry
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Veröffentlichungsjahr: 2012
Contents
About the Editor
List of Contributors
Preface
1 Introduction
1.1 Gas–Liquid Foam in Products and Processes
1.2 Content of This Volume
1.3 A Personal View of Collaboration in Foam Research
Part I Fundamentals
2 Foam Morphology
2.1 Introduction
2.2 Basic Rules of Foam Morphology
2.3 Two-dimensional Foams
2.4 Ordered Foams
2.5 Disordered Foams
2.6 Statistics of 3D Foams
2.7 Structures in Transition: Instabilities and Topological Changes
2.8 Other Types of Foams
2.9 Conclusions
Acknowledgements
3 Foam Drainage
3.1 Introduction
3.2 Geometric Considerations
3.3 A Drained Foam
3.4 The Continuity Equation
3.5 Interstitial Flow
3.6 Forced Drainage
3.7 Rigid Interfaces and Neglecting Nodes: The Original Foam Drainage Equation
3.8 Mobile Interfaces and Neglecting Nodes
3.9 Neglecting Channels: The Node-dominated Model
3.10 The Network Model: Combining Nodes and Channels
3.11 The Carman – Kozeny Approach
3.12 Interpreting Forced Drainage Experiments: A Detailed Look
3.13 Unresolved Issues
3.14 A Brief History of Foam Drainage
4 Foam Ripening
4.1 Introduction
4.2 The Very Wet Limit
4.3 The Very Dry Limit
4.4 Wet Foams
4.5 Controlling the Coarsening Rate
5 Coalescence in Foams
5.1 Introduction
5.2 Stability of Isolated Thin Films
5.3 Structure and Dynamics of Foam Rupture
5.4 What Are the Key Parameters in the Coalescence Process?
5.5 How Do We Explain the Existence of a Critical Liquid Fraction?
5.6 Conclusion
6 Foam Rheology
6.1 Introduction
6.2 Main Experimental and Theoretical Approaches
6.3 Foam Visco-elasticity
6.4 Yielding
6.5 Plastic Flow
6.6 Viscous Dissipation in Steadily Sheared Foams
6.7 Foam–Wall Viscous Friction
6.8 Conclusions
Abbreviations
Acknowledgement
7 Particle Stabilized Foams
7.1 Introduction
7.2 A Summary of Some Empirical Observations
7.3 On the Thermodynamic Stability of Particle Stabilized Foams
7.4 On the Ability of Particles to Stabilize Foams during Their Production
7.5 Design Rules for Particle Stabilized Foams
7.6 Conclusions
Acknowledgement
8 Pneumatic Foam
8.1 Preamble
8.2 Vertical Pneumatic Foam
8.3 Horizontal Flow of Pneumatic Foam
8.4 Pneumatic Foam in Inclined Channels
8.5 Methods of Pneumatic Foam Production
9 Non-aqueous Foams: Formation and Stability
9.1 Introduction
9.2 Phase Behavior of Diglycerol Fatty Acid Esters in Oils
9.3 Non-aqueous Foaming Properties
9.4 Conclusion
Acknowledgements
10 Suprafroth: Ageless Two-dimensional Electronic Froth
10.1 Introduction
10.2 The Intermediate State in Type-I Superconductors
10.3 Observation and Study of the Tubular Intermediate State Patterns
10.4 Structural Statistical Analysis of the Suprafroth
Acknowledgements
Part II Applications
11 Froth Phase Phenomena in Flotation
11.1 Introduction
11.2 Froth Stability
11.3 Hydrodynamic Condition of the Froth
11.4 Detachment of Particles from Bubbles
11.5 Gangue Recovery
11.6 The Velocity Field of Froth Bubbles
11.7 Plant Experience of Froth Flotation
12 Froth Flotation of Oil Sand Bitumen
12.1 Introduction
12.2 Oil Sands
12.3 Mining and Slurrying
12.4 Froth Structure
12.5 Physical Properties of Froths
12.6 Froth Treatment
12.7 Conclusion
Acknowledgements
13 Foams in Enhancing Petroleum Recovery
13.1 Introduction
13.2 Foam Applications for the Upstream Petroleum Industry
13.3 Foam Applications in Wells and Near Wells
13.4 Foam Applications in Reservoir Processes
13.5 Occurrences of Foams at the Surface and Downstream
13.6 Conclusion
14 Foam Fractionation
14.1 Introduction
14.2 Adsorption in Foam Fractionation
14.3 Foam Drainage
14.4 Coarsening and Foam Stability
14.5 Foam Fractionation Devices and Process Intensification
14.6 Concluding Remarks about Industrial Practice
15 Gas–Liquid Mass Transfer in Foam
15.1 Introduction
15.2 Non-overflowing Pneumatic Foam Devices
15.3 Overflowing Pneumatic Foam Devices
15.4 The Waldhof Fermentor
15.5 Induced Air Methods
15.6 Horizontal Foam Contacting
15.7 Calculation of Specific Interfacial Area in Foam
15.8 Hydrodynamics of Pneumatic Foam
15.9 Mass Transfer and Equilibrium Considerations
15.10 Towards an Integrated Model of Foam Gas–Liquid Contactors
15.11 Discussion and Future Directions
Acknowledgements
16 Foams in Glass Manufacturing
16.1 Introduction
16.2 Glass Foams in Glass Melting Furnaces
16.3 Physical Phenomena
16.4 Experimental Studies
16.5 Modeling
16.6 Measures for Reducing Glass Foaming in Glass Melting Furnaces
16.7 Perspective and Future Research Directions
Acknowledgements
17 Fire-fighting Foam Technology
17.1 Introduction
17.2 History
17.3 Applications
17.4 Physical Properties
17.5 Chemical Properties
17.6 Testing
17.7 The Future
18 Foams in Consumer Products
18.1 Introduction
18.2 Creation and Structure
18.3 Sensory Appeal
18.4 Conclusions
19 Foams for Blast Mitigation
19.1 Introduction
19.2 Free Field Tests
19.3 Shock Tube Testing
19.4 Theoretical Approaches
19.5 Conclusions
Plates
Index
This edition first published 2012© 2012 John Wiley & Sons, Ltd
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Library of Congress Cataloging-in-Publication Data
Foam engineering : fundamentals and applications / [edited by] Paul Stevenson. – 1st ed.p. cm.Includes bibliographical references and index.
ISBN 978-0-470-66080-5 (hardback)1. Foam. 2. Foam–Industrial applications. 3. Foam–Technological innovations. 4. Foamed materials. I. Stevenson, Paul, 1973–QD549.F59 2012620.1–dc23
2011037211
A catalogue record for this book is available from the British Library.
Print ISBN: 9780470660805
About the Editor
Paul Stevenson is a senior lecturer in the Chemical and Materials Engineering Department of the University of Auckland, New Zealand. He took BA (Hons) and MEng degrees in chemical engineering from the University of Cambridge, UK, where he completed doctoral studies in multiphase flow in oil flowlines. After post-doctoral research with the 2nd Consortium on Transient Multiphase Flow at Cambridge, he took a position at the University of Newcastle, Australia, to investigate froth flotation and foam fractionation. He has worked as a process chemist for Allied Colloids and as a chemical engineer for Croda Hydrocarbons and British Steel Technical, all in the UK. In addition he has spent periods as a Japanese convertible bond dealer for the US investment bank D.E. Shaw Securities International and a racecourse bookmaker for his family’s business.
List of Contributors
Kenji Aramaki
Graduate School of Environment and Information Sciences, Yokohama National University, Yokohama, JapanN. BabcsánBAY-ZOLTAN Foundation for Applied Research, Miskolc-Tapolca, Igloói, HungaryG. Ben-DorProtective Technologies R&D Center, Faculty of Engineering Sciences, Ben-Gurion University of the Negev, Beer Sheva, IsraelA. BritanProtective Technologies R&D Center, Faculty of Engineering Sciences, Ben-Gurion University of the Negev,Beer Sheva, IsraelPaul C. CanfieldDepartment of Physics and Astronomy, Ames Laboratory, Iowa State University, Ames, IA, USASylvie Cohen-AddadUniversité Paris 6, Paris, France, and Université Paris-Est, Marne-la-Vallée, FranceAnnie ColinUniversité Bordeaux, Pessac, FranceNikolai D. DenkovDepartment of Chemical Engineering, Faculty of Chemistry, Sofia University, Sofia, BulgariaReinhard HöhlerUniversité Paris 6, Paris, France, and Université Paris-Est, Marne-la-Vallée, FranceS. HutzlerSchool of Physics, Trinity College, Dublin, IrelandE. Eddy IsaacsAlberta Innovates – Energy and Environment Solutions, Calgary, AB, CanadaG. KaptayBAY-ZOLTAN Foundation for Applied Research, Miskolc-Tapolca, Iglói, Hungary, and University of Miskolc, Egyetemváros, Miskolc, HungaryStephan A. KoehlerPhysics Department, Worcester Polytechnic Institute, Worcester, MA, USANoel W.A. LambertClean Process Technologies Pty Ltd, Lower Belford, NSW, AustraliaXueliang LiCentre for Advanced Particle Processing, University of Newcastle, Callaghan, AustraliaPeter J. MartinSchool of Chemical Engineering and Analytical Science, The University of Manchester, Manchester, UKThomas J. MartinChemical Technology and Quality Assurance,Research & Development,Chemguard, Inc.,Mansfield, TX, USAA.J. MeagherSchool of Physics, Trinity College, Dublin, IrelandRandy J. MikulaNatural Resources Canada, Devon, AB, CanadaLaurent PilonHenry Samueli School of Engineering and Applied Science, Mechanical and Aerospace Engineering Department, University of California Los Angeles, Los Angeles, CA, USAOlivier PitoisUniversité Paris-Est, Laboratoire Navier, IFSTTAR, FranceRuslan ProzorovDepartment of Physics and Astronomy, Ames Laboratory, Iowa State University, Ames, IA, USALaurier L. SchrammSaskatchewan Research Council, Saskatoon, SK, CanadaH. ShapiroProtective Technologies R&D Center, Faculty of Engineering Sciences, Ben-Gurion University of the Negev, Beer Sheva, IsraelLok Kumar ShresthaInternational Center for Young Scientists, WPI Center for Materials Nanoarchitectonics, National Institute for Materials Science, Tsukuba Ibaraki, JapanPaul StevensonDepartment of Chemical and Materials Engineering, Faculty of Engineering, University of Auckland, New ZealandSlavka S. TcholakovaDepartment of Chemical Engineering, Faculty of Chemistry, Sofia University, Sofia, BulgariaS.T. TobinSchool of Physics, Trinity College, Dublin, IrelandD. WeaireSchool of Physics, Trinity College, Dublin, Ireland
Preface
I am enormously grateful to all of authors who have contributed to this volume on gas–liquid foam. One of the great pleasures of working with such accomplished scientists and engineers from industry and academia is that everybody has known the level at which to pitch their contributions.
Special thanks are due to Laurie Schramm who, along with co-authors, has contributed two chapters on foams in enhanced oil recovery and flotation of oil sands, and to Thomas Martin who endured initial confusion upon my part to produce a first class chapter on fire-fighting foams. I’d like to express my gratitude to Stephan Koehler for giving me sound advice about the selection of authors for various chapters, and to Denis Weaire who advised upon how to engender more coherence in the volume. Cat Chimney gave sterling assistance in formatting referencing styles of a number of chapters. My former colleague Noel Lambert delivered excellent copy at tremendously short notice despite being in enormous demand by others. Gratitude is due to Sven Schröter (of Schroeter Imagery) for his excellent photography and production of the image on the cover of this volume. I could not have completed this project without the constant and faithful assistance of my doctoral student and friend Xueliang (Bruce) Li. Bruce co-wrote two chapters with me, reviewed other chapters and developed ideas for cover art. He is truly a gentleman and scholar.
Thanks should also go to the staff at Wiley (Chichester), in particular Rebecca Stubbs, Sarah Tilley and Amie Marshall, who first envisaged this project and gave excellent support as the volume developed.
Last but not least I’d like to thank my second daughter, Charlotte, for being born at a perfect time to enable me to claim my nine weeks paternity leave from the University of Auckland, during which I worked upon this volume, as well as my wife Tracey for giving birth to her and my first daughter Emily for being cute.
1
Introduction
Paul Stevenson
1.1 Gas–Liquid Foam in Products and Processes
A gas–liquid foam, such as those found on the top of one’s bath or one’s beer, is a multiphase mixture that generally exhibits several physical properties that make it amenable to be used in multifarious industrial applications:
1. High specific surface area. The amount of gas–liquid surface area per unit volume of material that is attainable in a foam is greater than that in comparable two-phase systems. This property makes gas–liquid foam particularly attractive for interphase mass transfer operations. Examples of such processes are froth flotation, in which valuable hydrophobic particles are recovered from a slurry, the recovery of oil sands, and the stripping of gases from effluent by absorption into the liquid phase.
2. Low interphase slip velocity. The slip velocity between gas and liquid phases is the absolute velocity of the liquid phase relative to the gas phase, and this is typically much smaller in a foam than in a bubbly gas–liquid mixture. This is because the large specific surface area is able to impart a relatively large amount of shear stress on the liquid phase, thereby limiting the relative slip velocity between phases. A high contact time between gas and liquid phases can be engendered, which can also enhance the amount of mass transfer from liquid to gas, gas to liquid, or liquid to interface.
3. Large expansion ratio. Because the volumetric liquid fraction of a foam can be very low, the expansion ratio (i.e. the quotient of total volume and the volume of liquid used to create that foam) can be very high. This property is harnessed in the use of the material for fighting fires and to displace hydrocarbons from reservoirs.
4. A finite yield stress. Because gas–liquid foams can support a finite shear stress before exhibiting strain, they are very effective for use in delivering active agents contained in liquids in household and personal care products (such as bathroom cleaner and shaving foam), as well as in topical pharmaceutical treatments.
Thus, the geometrical, hydrodynamical and rheological properties of gas–liquid foam can be harnessed to make it a uniquely versatile multiphase mixture for a variety of process applications and product designs. It is therefore a material that is of broad interest to chemical engineers.
However, these physical properties of gas–liquid foam are determined by the underlying physics of the material. The rheology of foam is dependent upon, inter alia, the liquid fraction in the foam, which is in turn dependent of the rate of liquid drainage. This is a function of the rate at which bubbles coalesce and how the bubble size distribution evolves because of inter-bubble gas diffusion. The performance of a froth flotation column is dependent upon the stability of the foam, but the very attachment of particles to interfaces can have a profound influence upon this stability. In fact, the underlying physical processes that dictate the performance of a foam in a process or product application are generally highly interdependent.
It is precisely because of this interdependency, and how the interdependent fundamental physical processes impact upon the applications of foam, that it is hoped that this volume will have utility, for it seems axiomatic that those motivated by applications of foam would need to know about the underlying physics, and vice versa.
1.2 Content of This Volume
This volume is split into two major sections, within which the chapters broadly:
1. Give a treatment of one or another aspect of the fundamental physical nature or behaviour of gas–liquid foam
2. Consider a process or product application of foam
The first part provides a chapter in which the topology of gas–liquid foam is described followed by expositions of how this can change through liquid drainage, inter-bubble gas diffusion and coalescence, although these processes are highly mutually interdependent. Further, there are chapters on the rheology of foam and how particles can enhance stability, since these topics are rooted in fundamental physics, but have an important impact upon applications of foam. There is a chapter on the hydrodynamics of pneumatic foam, which underpins the processes of froth flotation, foam fractionation and gas–liquid mass transfer, and one on the formation and stability of non-aqueous foams. Finally in the ‘Fundamentals’ section there is a chapter on ‘Suprafroth’, which is a novel class of magnetic froth in which coarsening is promoted by the application of a magnetic field and therefore is reversible.
In the second part, ‘Applications’, there are chapters on processes and products that exploit the properties of foam. Froth flotation, foam fractionation and foam gas absorption are unit operations for different types of separation processes that rely upon pneumatic gas–liquid foam for their operation, and each is treated in an individual chapter. In addition there is a dedicated chapter on the flotation of oil sands because the technical challenges of this process are dissimilar to those of phase froth flotation of minerals and coal and because the supply of hydrocarbon resources from this source is likely to become increasingly important over the next century. However, foams also find utility in the enhanced recovery from oil reservoirs and this is described in a chapter. Foams manifest in a variety of manufacturing processes, and there is a description of foam behaviour and control in the production of glass. One of the most common applications of foam is in firefighting, as is discussed in a dedicated chapter. There is an important chapter on the creation and application of foams in consumer products; such products are typically of high added-value and therefore this field is rich with opportunities for innovation and development. Finally, a chapter on blast-mitigation using foam is given.
1.3 A Personal View of Collaboration in Foam Research
I had been doing postdoctoral work in the UK into multiphase flow through subsea oil flowlines when, in 2002, I travelled to Newcastle, Australia, to commence research on froth flotation of coal. I confess to not knowing what flotation was, but when I was travelling to work by train on my first morning I saw a coal train pass that seemed to be at least one mile long, so I thought it must be a field worthy of engagement. I had never considered foams beyond those encountered in domestic life.
However, once in Australia, it soon became clear to me that there was nothing specific for me to do, so I was left to my own devices from the outset. I inherited a pneumatic foam column that lived in a dingy dark-room, and for six months I would go there each morning and watch foam rise up a column and collect the overflow in a bucket. When it got too hot, I went to the excellent and well-air-conditioned library to read about foam drainage. I especially remember reading articles on drainage of Denis Weaire’s (co-author of Chapter 2 herein) group from Trinity College Dublin, and the work that Stephan Koehler (author of Chapter 3) carried out at Harvard. Despite having had a relatively rigorous education in a good chemical engineering department, I felt totally out of my depth when trying to get to grips with this work. I’d come across vector notation as an undergraduate, but it still daunted me. One afternoon I read the words ‘self-similar ansatz’, and immediately retired for the day. During this time, I shared an office with Noel Lambert (joint author of Chapter 11), now Chief Process Engineer of CleanProTech, who would come into the office coated in coal dust and issue instructions down the telephone to organise the next day’s flotation plant trials. I found the mathematical approach of Denis and Stephan difficult to comprehend, but Noel’s world was completely alien to me. And yet we were all working on one or another aspect of foam.
I learnt enough from Noel to realise that flotation was an incredibly physically complicated process and that plant experience was of paramount importance when trying to improve and innovate. In this context, methods that claimed to be able to simulate the entire flotation process by numerical solutions of sets of equations based upon oversimplified physics seemed particularly contrived. Similarly, there was a plethora of dimensionally inconsistent data fits in the flotation literature that were by their very nature only relevant to the experiments from which they were developed, but upon which general predictive capability was claimed. It is not surprising that some physicists appear to view some work of engineers with caution.
However, it was a chemical engineer who, arguably, was the first researcher to make significant process in both the fundamental science of gas–liquid foam and the process applications. Among his many achievements, Robert Lemlich of the University of Cincinnati proposed what is often now known as the ‘channel-dominated foam drainage model’, and he used this to propose a preliminary mechanistic model for the process of foam fractionation. Thus, the desire for a better understanding of a process technology for the separation of surface-active molecules from aqueous solution was the driver for the development of what some regard as the ‘standard model’ of foam drainage. Robert Lemlich’s career was characterised by trying to describe and innovate process technologies that harnessed foam by building a better understanding of the underlying physics. Lemlich’s contributions, which are often not given the credit that they deserve, demonstrate the value of a combined approach of physical understanding and practical application. Lemlich, and his co-workers, were able to effect these developments within their own research group. Those of us who do not possess Lemlich’s skill and insight may not be able to make similar progress single-handedly, but can still benefit from cross-disciplinary collaboration to achieve similar goals.
As a chemical engineer working on the fundamentals of gas–liquid foam and its process applications, I have collaborated with physicists and have found that the biggest impediments to interdisciplinary research in foam are caused by semantic problems. For example, as a former student of chemical engineering, I learnt about Wallis’s models of one-dimensional two-phase flow, and I therefore frequently invoke the concept of a ‘superficial velocity’ (i.e. the volumetric flowrate of a particular phase divided by the cross-sectional area of the pipe or channel). However, I have discovered that this is not a term universally known by the scientific community, and its use by me has caused some consternation in the past. Equally, I am quite sure that I have inadvertently disregarded research studies because I have failed to understand the language and methods correctly. However, I have recently found that perseverance, an open mind and a willingness to ask and to answer what may superficially appear to be trivial questions can overcome some difficulties.
The contributors to this volume may be from differing disciplines of science and engineering, but all are leading experts in their fields and all are active in developing the science and technology of foam fundamentals and applications. It is very much hoped that, in bringing together this diverse cohort of authors into a single volume, genuine cross-disciplinary research will be stimulated that can effectively address problems in the fundamental nature of gas–liquid foam as well as innovate new processes that can harness its unique properties. In addition, it is anticipated that engineering practitioners who design products and processes that rely on gas–liquid foam will benefit from gaining an insight into the physics of the material.
Part I
Fundamentals
3
Foam Drainage
Stephan A. Koehler
3.1 Introduction
The term foam drainage originally described the process by which fluid flows out of a foam, such as liquid draining out of a soap froth [1, 2], or the draining head on freshly poured beer (see Fig. 3.1a
