Incompressible Fluid Dynamics is a textbook for graduate and advanced undergraduate students of engineering, applied mathematics, and geophysics. The text comprises topics that establish the broad conceptual framework of the subject, expose key phenomena, and play an important role in the myriad of applications that exist in both nature and technology. The first half of the book covers topics that include the inviscid equations of Euler and Bernoulli, the Navier-Stokes equation and some of its simpler exact solutions, laminar boundary layers and jets, potential flow theory with its various applications to aerodynamics, the theory of surface gravity waves, and flows with negligible inertia, such as suspensions, lubrication layers, and swimming micro-organisms. The second half is more specialised. Vortex dynamics, which is so essential to many natural phenomena in fluid mechanics, is developed in detail. This is followed by chapters on stratified fluids and flows subject to a strong background rotation, both topics being central to our understanding of atmospheric and oceanic flows. Fluid instabilities and the transition to turbulence are also covered, followed by two chapters on fully developed turbulence. The text is largely self-contained, and aims to combine mathematical precision with a breadth of engineering and geophysical applications. Throughout, physical insight is given priority over mathematical detail.

From the reviews of the first edition: "This book is directed to graduate students and research workers interested in the numerical solution of problems of fluid dynamics, primarily those arising in high speed flow. ...The book is well arranged, logically presented and well illustrated. It contains several FORTRAN programms with which students could experiment ... It is a "practical "book, with emphasis on methods and their implementation. It is an excellent text for the fruitful research area it covers, and is highly recommended." "Journal of Fluid Mechanics" #1 From the reviews of the second edition: "The arrangement of chapters in the book remains practically the same as that in the first editon (1977), except for the inclusion of Glimm's method ... This book is higly recommended for both graduate students and researchers." "Applied Mechanics Reviews" #1

Computational fluid flow is not an easy subject. Not only is the mathematical representation of physico-chemical hydrodynamics complex, but the accurate numerical solution of the resulting equations has challenged many numerate scientists and engineers over the past two decades. The modelling of physical phenomena and testing of new numerical schemes has been aided in the last 10 years or so by a number of basic fluid flow programs (MAC, TEACH, 2-E-FIX, GENMIX, etc). However, in 1981 a program (perhaps more precisely, a software product) called PHOENICS was released that was then (and still remains) arguably, the most powerful computational tool in the whole area of endeavour surrounding fluid dynamics. The aim of PHOENICS is to provide a framework for the modelling of complex processes involving fluid flow, heat transfer and chemical reactions. PHOENICS has now been is use for four years by a wide range of users across the world. It was thus perceived as useful to provide a forum for PHOENICS users to share their experiences in trying to address a wide range of problems. So it was that the First International PHOENICS Users Conference was conceived and planned for September 1985. The location, at the Dartford Campus of Thames Polytechnic, in the event, proved to be an ideal site, encouraging substantial interaction between the participants.

This second edition of Physical Hydrodynamics is a deeply enriched version of a classical textbook on fluid dynamics. It retains the same pedagogical spirit, based on the authors' experience of teaching university students in the physical sciences, and emphasizes an experimental (inductive) approach rather than the more formal approach found in many textbooks in the field. A new edition was necessary as contact between the mechanics and physics approaches and their communities has increased continuously over the last few decades. Today the field is more widely open to other experimental sciences: materials, environmental, life, and earth sciences, as well as the engineering sciences. Representative examples from these fields have been included where possible, while retaining a general presentation in each case. This book should be useful for researchers and engineers in these various fields. Images have an essential place in fluid mechanics, and the illustrations in this edition have been completely revisited and widely improved. An inset of colour photographs is provided to stimulate the interest of readers. Exercises have also been added at the end of a number of chapters.

There is a tendency to make flow measurement a highly theoretical and technical subject but what most influences quality measurement is the practical application of meters, metering principles, and metering equipment and the use of quality equipment that can continue to function through the years with proper maintenance have the most influence in obtaining quality measurement. This guide provides a review of basic laws and principles, an overview of physical characteristics and behavior of gases and liquids, and a look at the dynamics of flow. The authors examine applications of specific meters, readout and related devices, and proving systems. Practical guidelines for the meter in use, condition of the fluid, details of the entire metering system, installation and operation, and the timing and quality of maintenance are also included.
This book is dedicated to condensing and sharing the authors' extensive experience in solving flow measurement problems with design engineers, operating personnel (from top supervisors to the newest testers), academically-based engineers, engineers of the manufacturers of flow meter equipment, worldwide practitioners, theorists, and people just getting into the business.

The authors' many years of experience are brought to bear in a thorough review of fluid flow measurement methods and applications.
Avoids theory and focuses on presentation of practical data for the novice and veteran engineer.
Useful for a wide range of engineers and technicians (as well as students) in a wide range of industries and applications.

This book focuses on statistical approaches to air/water flow in heterogeneous media, particularly for applications in soil hydrology where the unsaturated flow model of Darcy-Richards can be used. Beyond the assumptions of unsaturated flow, we present also a more general description of immiscible two-phase flow, with a wetting phase (water) and a non-wetting phase (air or oil), each with its own viscosity and density. Thus, we describe quasi-analytically 2-phase flow dynamics for axial flow in tubes/joints, possibly with axially variable diameter/aperture.

Droplet microfluidics offers tremendous potential as an enabling technology for high-throughput screening. It promises to yield novel techniques for personalised medicine, drug discovery, disease diagnosis, establishing chemical libraries, and the discovery of new materials. Despite the enormous potential to contribute to a broad range of applications, the expected adoption has not yet been seen, partly due to the interdisciplinary nature and the fact that, up until now, information has been scattered across the literature. This book goes a long way to addressing these issues. Edited by two leaders, this book has drawn together expertise from around the globe to form a unified, cohesive resource for the droplet microfluidics community. Starting with the basic theory of droplet microfluidics before introducing its use as a tool, the reader will be treated to chapters on important techniques, including robust passive and active droplet manipulations and applications such as single cell analysis, which is key for drug discovery. This book is a go-to resource for the community yearning to adopt and promote droplet microfluidics into different applications and will interest researchers and practitioners working across chemistry, biology, physics, materials science, micro- and nano-technology, and engineering.

This monograph aims to fill the gap between the mathematical literature which significantly contributed during the last decade to the understanding of the collapse phenomenon, and applications to domains like plasma physics and nonlinear optics where this process provides a fundamental mechanism for small scale formation and wave dissipation. This results in a localized heating of the medium and in the case of propagation in a dielectric to possible degradation of the material. For this purpose, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal asymptotic expansions and numerical simulations.

1. Objective and Scope Bubbles, drops and rigid particles occur everywhere in life, from valuable industrial operations like gas-liquid contracting, fluidized beds and extraction to such vital natural processes as fermentation, evaporation, and sedimentation. As we become increasingly aware of their fundamental role in industrial and biological systems, we are driven to know more about these fascinating particles. It is no surprise, therefore, that their practical and theoretical implications have aroused great interest among the scientific community and have inspired a growing number of studies and publications. Over the past ten years advances in the field of small Reynolds numbers flows and their technological and biological applications have given rise to several definitive monographs and textbooks in the area. In addition, the past three decades have witnessed enormous progress in describing quantitatively the behaviour of these particles. However, to the best of our knowledge, there are still no available books that reflect such achievements in the areas of bubble and drop deformation, hydrodynamic interactions of deformable fluid particles at low and moderate Reynolds numbers and hydrodynamic interactions of particles in oscillatory flows. Indeed, only one more book is dedicated entirely to the behaviour of bubbles, drops and rigid particles ["Bubbles, Drops and Particles" by Clift et al. (1978)] and the authors state its limitations clearly in the preface: "We treat only phenomena in which particle-particle interactions are of negligible importance. Hence, direct application of the book is limited to single-particle systems of dilute suspensions.

This is an advanced textbook on the subject of turbulence, and is suitable for engineers, physical scientists and applied mathematicians. The aim of the book is to bridge the gap between the elementary accounts of turbulence found in undergraduate texts, and the more rigorous monographs on the subject. Throughout, the book combines the maximum of physical insight with the minimum of mathematical detail. Chapters 1 to 5 may be appropriate as background material for an advanced undergraduate or introductory postgraduate course on turbulence, while chapters 6 to 10 may be suitable as background material for an advanced postgraduate course on turbulence, or act as a reference source for professional researchers. This second edition covers a decade of advancement in the field, streamlining the original content while updating the sections where the subject has moved on. The expanded content includes large-scale dynamics, stratified & rotating turbulence, the increased power of direct numerical simulation, two-dimensional turbulence, Magnetohydrodynamics, and turbulence in the core of the Earth

This book presents numerous mathematical methods used in the study of initial and boundary problems for Bingham fluids and rate dependent viscoplasticity. Existence and uniqueness results are presented and the behavior of the solutions with respect to the data is studied in detail. For many problems, the numerical approximation of the solution is also given and numerical results are presented. Elliptic variational inequalities, convex functions, monotone operators, semigroups of operators, and nonlinear evolution equations are used as mathematical instruments. Mathematical results are carefully interpreted from a mechanical point of view, allowing the author to present a theory to deal with numerical results and their possible practical applications to industrial and technological innovations. This book will appeal to mathematicians, physicists, engineers, and students interested in this topic of increasing importance.

This is the first text devoted exclusively to the subject of nonsteady, compressible, internal flow theory and the application of this theory to practical devices. The need for such a text has become apparent with the availability of commercial equipment dependent upon this type of flow phenomena. The book is usable both as a text for graduate level courses and as an introduction for readers wishing to become familiar with nonsteady flow phenomena and their practical applications. This audience consists of mechanical, chemical, and aerospace engineers; and specialists in fluid mechanics. The first and second chapters are introductory in nature, aiming to assist readers conversant with the concepts of steady flow to adjust to unfamiliar events and circumstances while avoiding the finer details of algebraic manipulation. A generalized derivation of the classical method-of-characteristics as applied to one-dimensional, nonsteady, internal flows is included in chapter three. Chapter four is devoted to a study of the various boundary conditions necessary for handling a wide range of problems. Chapter five deals with methods of solution including both graphical and numerical procedures. The remaining five chapters explore specific fields of application. These include pipeline flows, dynamic pressure exchangers, pulse combusters and the tuning of the exhaust and induction systems of reciprocating, and Wankel type, internal combustion engines. Additional nonsteady flow devices are described in the last chapter. All the latter chapters are supported by appropriate references to available literature, including the basic material presented in the first half of the book. When necessary, additional specialized theoretical material is included in each of the special-topics applications-oriented chapters. In order to fulfill the needs of graduate students and their instructors, worked examples are included in addition to exercise problems.

Introduction to Compressible Fluid Flow, Second Edition offers extensive coverage of the physical phenomena experienced in compressible flow. Updated and revised, the second edition provides a thorough explanation of the assumptions used in the analysis of compressible flows. It develops in students an understanding of what causes compressible flows to differ from incompressible flows and how they can be analyzed. This book also offers a strong foundation for more advanced and focused study.

The book begins with discussions of the analysis of isentropic flows, of normal and oblique shock waves and of expansion waves. The final chapters deal with nozzle characteristics, friction effects, heat exchange effects, a hypersonic flow, high-temperature gas effects, and low-density flows. This book applies real-world applications and gives greater attention to the supporting software and its practical application.

• Includes numerical results obtained using a modern commercial CFD (computer fluid dynamics) code to illustrate the type of results that can be obtained using such a code

• Replaces BASIC language programs with MATLAB(r) routines

• Avails COMPROP2 software which readers can use to do compressible flow computation

Additional problems have been added, and non-numerical problems illustrating practical applications have been included. A solutions manual that contains complete solutions to all of the problems in this book is available. The manual incorporates the same problem-solving methodology as adopted in the worked examples in this book. It also provides summaries of the major equations developed in each chapter. An interactive computer program also accompanies this book.

Understand multiphase flows using multidisciplinary knowledge in physical principles, modelling theories, and engineering practices. This essential text methodically introduces the important concepts, governing mechanisms, and state-of-the-art theories, using numerous real-world applications, examples, and problems. Covers all major types of multiphase flows, including gas-solid, gas-liquid (sprays or bubbling), liquid-solid, and gas-solid-liquid flows. Introduces the volume-time-averaged transport theorems and associated Lagrangian-trajectory modelling and Eulerian-Eulerian multi-fluid modelling. Explains typical computational techniques, measurement methods and four representative subjects of multiphase flow systems. Suitable as a reference for engineering students, researchers, and practitioners, this text explores and applies fundamental theories to the analysis of system performance using a case-based approach.

The Euler and Navier-Stokes equations are the fundamental mathematical models of fluid mechanics, and their study remains central in the modern theory of partial differential equations. This volume of articles, derived from the workshop 'PDEs in Fluid Mechanics' held at the University of Warwick in 2016, serves to consolidate, survey and further advance research in this area. It contains reviews of recent progress and classical results, as well as cutting-edge research articles. Topics include Onsager's conjecture for energy conservation in the Euler equations, weak-strong uniqueness in fluid models and several chapters address the Navier-Stokes equations directly; in particular, a retelling of Leray's formative 1934 paper in modern mathematical language. The book also covers more general PDE methods with applications in fluid mechanics and beyond. This collection will serve as a helpful overview of current research for graduate students new to the area and for more established researchers.

Colloidal suspensions are encountered in a multitude of natural, biological and industrially relevant products and processes. Understanding what affects the flow behavior, or rheology, of colloid particles, and how these suspensions can be manipulated, is important for successful formulation of products such as paint, polymers, foods and pharmaceuticals. This book is the first devoted to the study of colloidal rheology in all its aspects. With material presented in an introductory manner, and complex mathematical derivations kept to a minimum, the reader will gain a strong grasp of the basic principles of colloid science and rheology. Beginning with purely hydrodynamic effects, the contributions of Brownian motion and interparticle forces are covered, before the reader is guided through specific problem areas, such as thixotropy and shear thickening; special classes of colloid suspensions are also treated. An essential guide for academic and industrial researchers, this book is also ideal for graduate course use.

The flow of granular materials such as sand, snow, coal, and catalyst particles is common occurrence in natural and industrial settings. The mechanics of these materials is not well understood. They are important since a large fraction of the materials handled and processed in the chemical, metallurgical, pharmaceutical, and food processing industries are granular in nature. This book describes the theories for granular flow based mainly on continuum models although alternative discrete models are also discussed briefly. The level is appropriate for advanced undergraduates or beginning graduate students. The goal is to inform the reader about observed phenomena, some available models, and their shortcomings and to visit some issues that remain unresolved. There is a selection of problems at the end of the chapters to encourage exploration, and extensive references are provided.

The numerical simulation of turbulent flows is a subject of great practical importance to scientists and engineers. The difficulty in achieving predictive simulations is perhaps best illustrated by the wide range of approaches that have been developed and are still being used by the turbulence modeling community. In this book the authors describe one of these approaches, Implicit Large Eddy Simulation (ILES). ILES is a relatively new approach that combines generality and computational efficiency with documented success in many areas of complex fluid flow. This book synthesizes the current understanding of the theoretical basis of the ILES methodology and reviews its accomplishments. ILES pioneers and lead researchers combine here their experience to present the first comprehensive description of the methodology. This book should be of fundamental interest to graduate students, basic research scientists, as well as professionals involved in the design and analysis of complex turbulent flows.

The ability to actively or passively manipulate a flow field to bring about a desired change is of immense technological importance. The potential benefits of improving flow control systems range from saving billions of dollars in fuel costs for land, air and sea vehicles to achieving more economically competitive and environmentally sound industrial processes involving fluid flows. This book provides a thorough treatment of the basics of flow control and control practices that can be used to produce desired effects. Among topics covered are transition delay, separation prevention, drag reduction, lift augmentation, turbulence suppression, noise abatement, and heat and mass transfer enhancement. The final chapter explores the frontiers of flow control strategies, especially as applied to turbulent flows. Intended for engineering and physics students, researchers and practitioners, Flow Control brings together in a single source a wealth of information on practices and developments in this very active field.

This monograph presents the state of the art of theory and applications in fluid flow control, assembling contributions by leading experts in the field. The book covers a wide range of recent topics including vortex based control algorithms, incompressible turbulent boundary layers, aerodynamic flow control, control of mixing and reactive flow processes or nonlinear modeling and control of combustion dynamics.

Now available in a new improved format, this second edition is completely revised and updated. "An Introductory Guide to Flow Measurement" is an indispensable guide for the busy practising engineer. It provides a ready source of information on flowmeters, their operation, installation, and relative advantages and disadvantages in different applications. This revised edition retains the succinct style of the original, with plenty of clear line diagrams and shading to highlight key points, it is comprehensive and easy to use. The material is based on the author's own lectures at Cranfield Institute of Technology, UK, but incorporates lessons learned through using the first edition as a teaching tool during the 13 years since its first publication. It aims to transmit as much information as possible, as efficiently as possible, in as short a time as possible. Essential reading for any engineer faced with a flow measurement problem this book will enable the reader to assess advice received from manufacturers and contribute to discussions with experts. Existing and new readers alike will welcome this updated version of the well established and highly regarded "Introductory Guide to Flow Measurement". Key areas considered include: Accuracy (flow behavior, and fluid parameters); Calibration techniques; Selection; Momentum flowmeters; Volumetric flowmeters; Mass flowmeters; Probes and tracers; and, Recent developments and future trends.

This textbook integrates classic principles of flow through porous media with recently developed stochastic analyses to provide new insight on subsurface hydrology. Importantly, each of the authors has extensive experience in both academia and the world of applied groundwater hydrology. The book not only presents theories but also emphasizes their underlying assumptions, limitations, and the potential pitfalls that may occur as a result of blind application of the theories as 'cookie-cutter' solutions. The book has been developed for advanced-level courses on groundwater fluid flow, hydraulics, and hydrogeology, in either civil and environmental engineering or geoscience departments. It is also a valuable reference text for researchers and professionals in civil and environmental engineering, geology, soil science, environmental science, and petroleum and mining engineering.

Large-Eddy Simulations of Turbulence is an ideal introduction for people new to LES [large-eddy simulation], direct numerical simulation and Reynolds-averaged Navier-Stokes simulation, and as a reference for researchers. Of particular interest in the text are the detailed discussion, in Chapter 2, of vorticity, pressure, and the velocity gradient tensor, quantities useful for probing the results of a simulation, particularly when looking for coherent vortices and coherent structures. Chapters 4 and 5 feature an in-depth discussion of spectral subgrid-scale modeling. Although physical-space models are generally more readily applied, spectral models give insight into the requirements and limitations in subgrid-scale modeling and backscattering. A third special feature is the detailed discussion in Chapter 7, of large-eddy simulation of compressible flows previously only available in articles scattered throughout the literature. This will be of interest to those dealing with supersonic flows, combustion, astrophysics, and other related topics.