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Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics

Bubble Dynamics and Shock Waves (Paperback, 2013 ed.): Can F. Delale Bubble Dynamics and Shock Waves (Paperback, 2013 ed.)
Can F. Delale
R5,336 Discovery Miles 53 360 Ships in 10 - 15 working days

This book explores the interplay of bubble dynamics and shock waves, covering shock wave emission by laser generated bubbles, pulsating bubbles near boundaries, interaction of shock waves with bubble clouds, applications in shock wave lithotripsy, and more.

Tackling Turbulent Flows in Engineering (Paperback, 2011 ed.): Anupam Dewan Tackling Turbulent Flows in Engineering (Paperback, 2011 ed.)
Anupam Dewan
R2,789 Discovery Miles 27 890 Ships in 10 - 15 working days

The emphasis of this book is on engineering aspects of fluid turbulence. The book explains for example how to tackle turbulence in industrial applications. It is useful to several disciplines, such as, mechanical, civil, chemical, aerospace engineers and also to professors, researchers, beginners, under graduates and post graduates. The following issues are emphasized in the book: - Modeling and computations of engineering flows: The author discusses in detail the quantities of interest for engineering turbulent flows and how to select an appropriate turbulence model; Also, a treatment of the selection of appropriate boundary conditions for the CFD simulations is given. - Modeling of turbulent convective heat transfer: This is encountered in several practical situations. It basically needs discussion on issues of treatment of walls and turbulent heat fluxes. - Modeling of buoyancy driven flows, for example, smoke issuing from chimney, pollutant discharge into water bodies, etc

Thermodynamics of Fluids Under Flow (Paperback, 2nd ed. 2011): David Jou, Jose Casas-Vazquez, Manuel Criado-Sancho Thermodynamics of Fluids Under Flow (Paperback, 2nd ed. 2011)
David Jou, Jose Casas-Vazquez, Manuel Criado-Sancho
R2,796 Discovery Miles 27 960 Ships in 10 - 15 working days

This is the second edition of the book "Thermodynamics of Fluids under Flow," which was published in 2000 and has now been corrected, expanded and updated. This is a companion book to our other title Extended irreversible thermodynamics (D. Jou, J. Casas-Vazquez and G. Lebon, Springer, 4th edition 2010), and of the textbook Understanding non-equilibrium thermodynamics (G. Lebon, D. Jou and J. Casas-Vazquez, Springer, 2008. The present book is more specialized than its counterpart, as it focuses its attention on the non-equilibrium thermodynamics of flowing fluids, incorporating non-trivial thermodynamic contributions of the flow, going beyond local equilibrium theories, i.e., including the effects of internal variables and of external forcing due to the flow. Whereas the book's first edition was much more focused on polymer solutions, with brief glimpses into ideal and real gases, the present edition covers a much wider variety of systems, such as: diluted and concentrated polymer solutions, polymer blends, laminar and turbulent superfluids, phonon hydrodynamics and heat transport in nanosystems, nuclear collisions, far-from-equilibrium ideal gases, and molecular solutions. It also deals with a variety of situations, emphasizing the non-equilibrium flow contribution: temperature and entropy in flowing ideal gases, shear-induced effects on phase transitions in real gases and on polymer solutions, stress-induced migration and its application to flow chromatography, Taylor dispersion, anomalous diffusion in flowing systems, the influence of the flow on chemical reactions, and polymer degradation. The new edition is not only broader in scope, but more educational in character, and with more emphasis on applications, in keeping with our times. It provides many examples of how a deeper theoretical understanding may bring new and more efficient applications, forging links between theoretical progress and practical aims. This updated version expands on the trusted content of its predecessor, making it more interesting and useful for a larger audience.

Cavitation in Non-Newtonian Fluids - With Biomedical and Bioengineering Applications (Paperback, 2011 ed.): Emil Brujan Cavitation in Non-Newtonian Fluids - With Biomedical and Bioengineering Applications (Paperback, 2011 ed.)
Emil Brujan
R4,228 Discovery Miles 42 280 Ships in 10 - 15 working days

Non-Newtonian properties on bubble dynamics and cavitation are fundamentally different from those of Newtonian fluids. The most significant effect arises from the dramatic increase in viscosity of polymer solutions in an extensional flow, such as that generated about a spherical bubble during its growth or collapse phase. In addition, many biological fluids, such as blood, synovial fluid, and saliva, have non-Newtonian properties and can display significant viscoelastic behaviour. This monograph elucidates general aspects of bubble dynamics and cavitation in non-Newtonian fluids and applies them to the fields of biomedicine and bioengineering. In addition it presents many examples from the process industries. The field is strongly interdisciplinary and the numerous disciplines involve have and will continue to overlook and reinvent each others' work. This book helps researchers to think intuitively about the diverse physics of these systems, to attempt to bridge the various communities involved, and to convey the interest, elegance, and variety of physical phenomena that manifest themselves on the micrometer and microsecond scales.

Flow and Combustion in Advanced Gas Turbine Combustors (Paperback, 2013 ed.): Johannes Janicka, Amsini Sadiki, Michael Schafer,... Flow and Combustion in Advanced Gas Turbine Combustors (Paperback, 2013 ed.)
Johannes Janicka, Amsini Sadiki, Michael Schafer, Christof Heeger
R5,623 Discovery Miles 56 230 Ships in 10 - 15 working days

With regard to both the environmental sustainability and operating efficiency demands, modern combustion research has to face two main objectives, the optimization of combustion efficiency and the reduction of pollutants. This book reports on the combustion research activities carried out within the Collaborative Research Center (SFB) 568 "Flow and Combustion in Future Gas Turbine Combustion Chambers" funded by the German Research Foundation (DFG). This aimed at designing a completely integrated modeling and numerical simulation of the occurring very complex, coupled and interacting physico-chemical processes, such as turbulent heat and mass transport, single or multi-phase flows phenomena, chemical reactions/combustion and radiation, able to support the development of advanced gas turbine chamber concepts

Vortex Rings (Paperback, 2009 ed.): D.G. Akhmetov Vortex Rings (Paperback, 2009 ed.)
D.G. Akhmetov
R2,789 Discovery Miles 27 890 Ships in 10 - 15 working days

Vortex flow is one of the fundamental types of fluid and gas motion. These flows are the most spectacular in the form of concentrated vortices, characterized by the localization of vorticity (curl of velocity) in bounded regions of a space, beyond which the vorticity is either absent or rapidly falls down to zero. Concentrated vortices are often observed in nature, exemplified by atmospheric cyclones, whirlwinds and tornados, oceanic vortices, whirlpools on a water s- face, and ring vortices caused by explosive outburst of volcanoes. In technical - vices concentrated vortices form when flow separates from sharp edges of flying vehicles and ships. Among these are vortices flowing off the ends of airplane wings, and intentionally generated vortices for intensification of burning in c- bustion chambers, vortices in cyclonic devices used for mixing or separation of impurities in fluids and gases. One such remarkable and frequent type of conc- trated vortices is a vortex ring which constitutes a vortex tube closed into a t- oidal ring moving in a surrounding fluid like an isolated body out of contact with solid boundaries of the flow region if such boundaries exist. Formation and motion of vortex rings are important part of the dynamics of a continuum medium and have been studied for more than a century.

Advances in Turbulence XI - Proceedings of the 11th EUROMECH European Turbulence Conference, June 25-28, 2007, Porto, Portugal... Advances in Turbulence XI - Proceedings of the 11th EUROMECH European Turbulence Conference, June 25-28, 2007, Porto, Portugal (Paperback, 2007 ed.)
J.M.L.M. Palma, A. Silva Lopes
R8,222 Discovery Miles 82 220 Ships in 10 - 15 working days

This volume comprises the communications presented at the ETC 11, the EUROMECH European Turbulence conference held in 2007 in Porto.

The scientific committee has chosen the contributions out of the following topics: Acoustics of turbulent flows; Atmospheric turbulence; Control of turbulent flows; Geophysical and astrophysical turbulence; Instability and transition; Intermittency and scaling; Large eddy simulation and related techniques; MHD turbulence; Reacting and compressible turbulence; Transport and mixing; Turbulence in multiphase and non-Newtonian flows; Vortex dynamics and structure formation; Wall bounded flows.

High Energy Density Laboratory Astrophysics 2008 (Paperback, 2010 ed.): Tomasz Plewa High Energy Density Laboratory Astrophysics 2008 (Paperback, 2010 ed.)
Tomasz Plewa
R4,247 Discovery Miles 42 470 Ships in 10 - 15 working days

The HEDLA-08 conference was a continuation of a series of biennial conferences first held in Pleasanton, California, in 1996, and focused on progress made during recent years in designing, conducting, and analyzing the results of laboratory experiments, theoretical work, and computer simulations relevant to high-energy density (HED) astrophysics. The astrophysics aspects of HED experiments are extremely diverse and include jets, the mechanism of their generation and interaction with the ambient medium; stellar evolution with a focus on turbulence, hydrodynamic instabilities, and mixing of nuclear species; radiative supersonic flows associated with stellar explosions and jets; radiative processes in plasma; equation of state and material properties; and last but not least magnetized and relativistic plasmas. This volume contains a small but representative subset of 35 peer-reviewed papers presented at the HEDLA-08 meeting.

Laser Refractography (Paperback, 2010 ed.): B S Rinkevichyus, O a Evtikhieva, I L Raskovskaya Laser Refractography (Paperback, 2010 ed.)
B S Rinkevichyus, O a Evtikhieva, I L Raskovskaya
R2,762 Discovery Miles 27 620 Ships in 10 - 15 working days

This monograph is devoted to the description of the physical fundamentals of laser refractography-a novel informational-measuring technique for the diagnostics of optically inhomogeneous media and flows, based on the idea of using spatially structured probe laser radiation in combination with its digital recording and c- puter techniques for the differential processing of refraction patterns. Considered are the physical fundamentals of this technique, actual optical schemes, methods of processing refraction patterns, and possible applications. This informational technique can be employed in such areas of science and technology as require remote nonperturbative monitoring of optical, thermophysical, chemical, aerohydrodynamic, and manufacturing processes. The monograph can also be recommended for students and postgraduates of - formational, laser, electro-optical, thermophysical, chemical, and other specialties. Laser refractography is a conceptually novel refraction method for the diagn- tics of inhomogeneous media, based on the idea of using spatially structured probe laser radiation in combination with its digital recording and computer techniques for the differential processing of refraction patterns.

Wastewater Hydraulics - Theory and Practice (Paperback, 2nd ed. 2010): Willi H. Hager Wastewater Hydraulics - Theory and Practice (Paperback, 2nd ed. 2010)
Willi H. Hager
R3,379 Discovery Miles 33 790 Ships in 10 - 15 working days

The second, enlarged edition of this established reference integrates many new insights into wastewater hydraulics. This work serves as a reference for researchers but also is a basis for practicing engineers. It can be used as a text book for graduate students, although it has the characteristics of a reference book. It addresses mainly the sewer hydraulician but also general hydraulic engineers who have to tackle many a problem in daily life, and who will not always find an appropriate solution. Each chapter is introduced with a summary to outline the contents. To illustrate application of the theory, examples are presented to explain the computational procedures. Further, to relate present knowledge to the history of hydraulics, some key dates on noteworthy hydraulicians are quoted. A historical note on the development of wastewater hydraulics is also added. References are given at the end of each chapter, and they are often helpful starting points for further reading. Each notation is defined when introduced, and listed alphabetically at the end of each chapter. This new edition includes in particular sideweirs with throttling pipes, drop shafts with an account on the two-phase flow features, as well as conduit choking due to direct or undular hydraulic jumps.

Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances (Paperback, 2010 ed.): Herbert Steinruck Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances (Paperback, 2010 ed.)
Herbert Steinruck
R5,468 Discovery Miles 54 680 Ships in 10 - 15 working days

A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.

Turbulent Reacting Flows (Paperback, Softcover reprint of the original 1st ed. 1980): P.A. Libby Turbulent Reacting Flows (Paperback, Softcover reprint of the original 1st ed. 1980)
P.A. Libby; Contributions by R.W. Bilger; Edited by F.A. Williams; Contributions by K.N.C. Bray, E E O'Brien, …
R1,460 Discovery Miles 14 600 Ships in 10 - 15 working days
Numerical Methods for the Simulation of Multi-Phase and Complex Flow - Proceedings of a Workshop Held at... Numerical Methods for the Simulation of Multi-Phase and Complex Flow - Proceedings of a Workshop Held at Koninklijke/Shell-Laboratorium, Amsterdam Amsterdam, The Netherlands, 30 May - 1 June 1990 (Paperback, Softcover reprint of the original 1st ed. 1992)
T.M.M. Verheggen
R1,436 Discovery Miles 14 360 Ships in 10 - 15 working days

The nine review articles contained here introduce the techniques required touse lattice gas methods for numerical simulations of complex flows. Furthermore, lattice Boltzmann models are studied together with classical numerical techniques. The editors have written an extensive introductionto this exciting new approach to solving practical problems in modelling andsimulating flows. The book addresses numerical analysts and engineers in fluid mechanics, but also graduate students.

Mathematical Modeling in Combustion Science - Proceedings of a Conference Held in Juneau, Alaska, August 17-21, 1987... Mathematical Modeling in Combustion Science - Proceedings of a Conference Held in Juneau, Alaska, August 17-21, 1987 (Paperback, Softcover reprint of the original 1st ed. 1988)
John D. Buckmaster, Tadao Takeno
R1,443 Discovery Miles 14 430 Ships in 10 - 15 working days

An important new area of current research in combustion science is reviewed in the contributions to this volume. The complicated phenomena of combustion, such as chemical reactions, heat and mass transfer, and gaseous flows, have so far been studied predominantly by experiment and by phenomenological approaches. But asymptotic analysis and other recent developments are rapidly changing this situation. The contributions in this volume are devoted to mathematical modeling in three areas: high Mach number combustion, complex chemistry and physics, and flame modeling in small scale turbulent flow combustion.

Thirteenth International Conference on Numerical Methods in Fluid Dynamics - Proceedings of the Conference Held at the... Thirteenth International Conference on Numerical Methods in Fluid Dynamics - Proceedings of the Conference Held at the Consiglio Nazionale delle Ricerche, Rome, Italy, 6-10 July 1992 (Paperback, 1993 ed.)
M. Napolitano, F. Sabetta
R2,887 Discovery Miles 28 870 Ships in 10 - 15 working days

These proceedings of a well-established conference on numerical methods, calculations, and modelling in fluid dynamics concentrates on five topics: multidimensional upwinding, turbulent flows, domain decomposition methods, unstructured grids, and flow visualization, and it includes papers presented at a workshop on all-vertex schemes. All papers have been carefully refereed.

Twelfth International Conference on Numerical Methods in Fluid Dynamics - Proceedings of the Conference Held at the University... Twelfth International Conference on Numerical Methods in Fluid Dynamics - Proceedings of the Conference Held at the University of Oxford, England on 9-13 July 1990 (Paperback, 1990 ed.)
K.W. Morton
R2,893 Discovery Miles 28 930 Ships in 10 - 15 working days

These proceedings are devoted to the most recent research in computational fluid mechanics and include a thorough analysis of the state of the art in parallel computing and the development of algorithms. The applications cover hypersonic and environmental flows, transitions in turbulence, and propulsion systems. Seven invited lectures survey the results of the recent past and point out interesting new directions of research. The contributions have been carefully selected for publication.

Meteorological Fluid Dynamics - Asymptotic Modelling, Stability and Chaotic Atmospheric Motion (Paperback, Softcover reprint of... Meteorological Fluid Dynamics - Asymptotic Modelling, Stability and Chaotic Atmospheric Motion (Paperback, Softcover reprint of the original 1st ed. 1991)
Radyadour K. Zeytounian
R1,503 Discovery Miles 15 030 Ships in 10 - 15 working days

The author considers meteorology as a part of fluid dynamics. He tries to derive the properties of atmospheric flows from a rational analysis of the Navier-Stokes equations, at the same time analyzing various types of initial and boundary problems. This approach to simulate nature by models from fluid dynamics will be of interest to both scientists and students of physics and theoretical meteorology.

Fluid Mechanics for Marine Ecologists (Paperback, Softcover reprint of the original 1st ed. 1999): Stanislaw R. Massel Fluid Mechanics for Marine Ecologists (Paperback, Softcover reprint of the original 1st ed. 1999)
Stanislaw R. Massel
R1,555 Discovery Miles 15 550 Ships in 10 - 15 working days

Showing marine ecologists, oceanographers and marine engineers how ocean waters interact with, influence and constrain life in the ocean, this package makes the physical processes intelligible to biologists with a modicum of mathematics. Part I of the book examines classical fluid mechanics such as laminar and turbulent flow, boundary layers, and forces induced by flow. Part II deals with large-scale flows, such as waves, large ocean currents, and tides, which are beyond the scope of classic fluid mechanics. In Part III, the link between hydrodynamics of ocean flows and marine ecology is demonstrated by examples of well-established phenomena and processes. The CD-ROM contains 12 ready-to-use computer programs on the calculation, representation and simulation of various processes.

Multicomponent Transport Algorithms (Paperback, Softcover reprint of the original 1st ed. 1994): Alexandre Ern, Vincent... Multicomponent Transport Algorithms (Paperback, Softcover reprint of the original 1st ed. 1994)
Alexandre Ern, Vincent Giovangigli
R1,508 Discovery Miles 15 080 Ships in 10 - 15 working days

With the advent of sophisticated computer technology and the development of efficient computational algorithms, numerical modeling of complex multicomponent laminar reacting flows has emerged as an increasingly popular and firmly established area of scientific research. Progress in this area aims at obtaining better resolved and more accurate solutions of specific technological problems in less computer time. Therefore, it strongly relies upon the ability of evaluating fundamental parameters appearing in the physical models. Transport properties constitute a typical example of the above characterization. Evaluating transport coefficients of dilute polyatomic gas mixtures is often critical in many engineering applications, including chemical reactors, hypersonic flows, comb- tion phenomena, and chemical vapor deposition. Using the kinetic theory of dilute polyatomic gas mixtures as a starting point, this book offers a systematic development of a mathematical and numerical theory for the evaluation of transport properties in dilute polyatomic gas mixtures. The present investigation is not specifically.about the kinetic theory of gases, for which there are plenty of excellent and thoroughly do- mented textbooks; it is rather geared toward the development of new, efficient, and general algorithms with which to evaluate transport properties of dilute polyatomic gas mixtures at a reasonable computational cost.

Modeling in Combustion Science - Proceedings of the US-Japan Seminar Held in Kapaa, Kauai, Hawaii, 24-29 July 1994 (Paperback,... Modeling in Combustion Science - Proceedings of the US-Japan Seminar Held in Kapaa, Kauai, Hawaii, 24-29 July 1994 (Paperback, Softcover reprint of the original 1st ed. 1995)
John Buckmaster, Tadao Takeno
R1,491 Discovery Miles 14 910 Ships in 10 - 15 working days

The articles in this volume treat various problems in combustion science that are of importance in applications to technology and to environmental sciences. The authors treat turbulence in premixed and non-premixed flames as well as pressure interactions and wave phenomena. Also supersonic flows and detonations are discussed. The main emphasis, however, is on the modelling and numerical treatment of combustion phenomena. The book addresses researchers in physics and engineering, and mathematicians from scientific computing.

Solid-Liquid Interfaces - Macroscopic Phenomena - Microscopic Understanding (Paperback, Softcover reprint of the original 1st... Solid-Liquid Interfaces - Macroscopic Phenomena - Microscopic Understanding (Paperback, Softcover reprint of the original 1st ed. 2003)
Klaus Wandelt, Stephen Thurgate
R4,278 Discovery Miles 42 780 Ships in 10 - 15 working days

Using combinations of in situ and ex situ experimental methods, fundamental and relevant phenomena such as adsorption and desorption of ions and molecules, restructuring of surfaces, thin film and nanocluster growth, and electrochemical reactions on the micrometer scale are addressed. The overview includes a wide range of experimental techniques and examples of solid-liquid interfaces and aims at stimulating an expansion of this important type of interface science.

Natural Locomotion in Fluids and on Surfaces - Swimming, Flying, and Sliding (Paperback, 2012 ed.): Stephen Childress, Anette... Natural Locomotion in Fluids and on Surfaces - Swimming, Flying, and Sliding (Paperback, 2012 ed.)
Stephen Childress, Anette Hosoi, William W. Schultz, Jane Wang
R2,800 Discovery Miles 28 000 Ships in 10 - 15 working days

This volume developed from a Workshop on Natural Locomotion in Fluids and on Surfaces: Swimming, Flying, and Sliding which was held at the Institute for Mathematics and its Applications (IMA) at the University of Minnesota, from June 1-5, 2010. The subject matter ranged widely from observational data to theoretical mechanics, and reflected the broad scope of the workshop. In both the prepared presentations and in the informal discussions, the workshop engaged exchanges across disciplines and invited a lively interaction between modelers and observers. The articles in this volume were invited and fully refereed. They provide a representative if necessarily incomplete account of the field of natural locomotion during a period of rapid growth and expansion. The papers presented at the workshop, and the contributions to the present volume, can be roughly divided into those pertaining to swimming on the scale of marine organisms, swimming of microorganisms at low Reynolds numbers, animal flight, and sliding and other related examples of locomotion.

Quasi-Geostrophic Theory of Oceans and Atmosphere - Topics in the Dynamics and Thermodynamics of the Fluid Earth (Paperback):... Quasi-Geostrophic Theory of Oceans and Atmosphere - Topics in the Dynamics and Thermodynamics of the Fluid Earth (Paperback)
Fabio Cavallini, Fulvio Crisciani
R3,885 Discovery Miles 38 850 Ships in 10 - 15 working days

Large-scale winds and currents tend to balance Coriolis and pressure gradient forces. The time evolution of these winds and currents is the subject of the quasi-geostrophic theory. Chapter 1 presents concepts and equations of classical inertial fluid mechanics. Chapter 2 deals with the equations of thermodynamics that close the governing equations of the fluids. Then, the motion is reformulated in a uniformly rotating reference frame. Chapter 3 deals with the shallow-water model and the homogeneous model of wind-driven circulation. The chapter also describes a classical application of the Ekman layer to the atmosphere. Chapter 4 considers the two-layer model, as an introduction to baroclinic flows, together with the concept of available potential energy. Chapter 5 takes into account continuously stratified flows in the ocean and in the atmosphere.

A Physical Introduction to Suspension Dynamics (Paperback, New): Elisabeth Guazzelli, Jeffrey F. Morris A Physical Introduction to Suspension Dynamics (Paperback, New)
Elisabeth Guazzelli, Jeffrey F. Morris; Illustrated by Sylvie Pic
R1,177 Discovery Miles 11 770 Ships in 12 - 17 working days

Understanding the behaviour of particles suspended in a fluid has many important applications across a range of fields, including engineering and geophysics. Comprising two main parts, this book begins with the well-developed theory of particles in viscous fluids, i.e. microhydrodynamics, particularly for single- and pair-body dynamics. Part II considers many-body dynamics, covering shear flows and sedimentation, bulk flow properties and collective phenomena. An interlude between the two parts provides the basic statistical techniques needed to employ the results of the first (microscopic) in the second (macroscopic). The authors introduce theoretical, mathematical concepts through concrete examples, making the material accessible to non-mathematicians. They also include some of the many open questions in the field to encourage further study. Consequently, this is an ideal introduction for students and researchers from other disciplines who are approaching suspension dynamics for the first time.

A Physical Introduction to Suspension Dynamics (Hardcover, New): Elisabeth Guazzelli, Jeffrey F. Morris A Physical Introduction to Suspension Dynamics (Hardcover, New)
Elisabeth Guazzelli, Jeffrey F. Morris; Illustrated by Sylvie Pic
R2,940 Discovery Miles 29 400 Ships in 12 - 17 working days

Understanding the behaviour of particles suspended in a fluid has many important applications across a range of fields, including engineering and geophysics. Comprising two main parts, this book begins with the well-developed theory of particles in viscous fluids, i.e. microhydrodynamics, particularly for single- and pair-body dynamics. Part II considers many-body dynamics, covering shear flows and sedimentation, bulk flow properties and collective phenomena. An interlude between the two parts provides the basic statistical techniques needed to employ the results of the first (microscopic) in the second (macroscopic). The authors introduce theoretical, mathematical concepts through concrete examples, making the material accessible to non-mathematicians. They also include some of the many open questions in the field to encourage further study. Consequently, this is an ideal introduction for students and researchers from other disciplines who are approaching suspension dynamics for the first time.

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