Computational Fluid-Structure Interaction: Methods and Applications takes the reader from the fundamentals of computational fluid and solid mechanics to the state-of-the-art in computational FSI methods, special FSI techniques, and solution of real-world problems. Leading experts in the field present the material using a unique approach that combines advanced methods, special techniques, and challenging applications. This book begins with the differential equations governing the fluid and solid mechanics, coupling conditions at the fluid solid interface, and the basics of the finite element method. It continues with the ALE and space time FSI methods, spatial discretization and time integration strategies for the coupled FSI equations, solution techniques for the fully-discretized coupled equations, and advanced FSI and space time methods. It ends with special FSI techniques targeting cardiovascular FSI, parachute FSI, and wind-turbine aerodynamics and FSI. Key features: * First book to address the state-of-the-art in computational FSI * Combines the fundamentals of computational fluid and solid mechanics, the state-of-the-art in FSI methods, and special FSI techniques targeting challenging classes of real-world problems * Covers modern computational mechanics techniques, including stabilized, variational multiscale, and space time methods, isogeometric analysis, and advanced FSI coupling methods * Is in full color, with diagrams illustrating the fundamental concepts and advanced methods and with insightful visualization illustrating the complexities of the problems that can be solved with the FSI methods covered in the book. * Authors are award winning, leading global experts in computational FSI, who are known for solving some of the most challenging FSI problems Computational Fluid-Structure Interaction: Methods and Applications is a comprehensive reference for researchers and practicing engineers who would like to advance their existing knowledge on these subjects. It is also an ideal text for graduate and senior-level undergraduate courses in computational fluid mechanics and computational FSI.

In this concise yet comprehensive book, the author discusses the principles of mass, momentum, and energy transport, and derives balance equations for single-component fluids and multicomponent mixtures based on the direct application of natural laws and principles of thermodynamics. Transport equations over control volumes are formulated with reference to the Reynolds transport equation, thereby circumventing the need for ad-hoc balances for open systems that are best justified in hindsight. Notable features with regard to mass transport include the interpretation of diffusion in mixtures in terms of species parcel motion and separation, the introduction of Fick's and fractional diffusion laws with reference to random molecular excursions, a detailed account of species and mixture kinematics and dynamics, and the discussion of partial stresses, energies, and entropies of individual mixture components. Key features of this book include: * The governing equations are derived from first principles based on the application of natural laws and principles of thermodynamics * Balances over control volumes are derived from rigorous equations governing material parcel property evolution * Fick's law, a fractional diffusion law, and other diffusion laws are discussed with reference to random walks * A detailed account of species and mixture kinematics and dynamics is presented for binary and multicomponent solutions * A tabulated summary of transport equations is presented in differential and integral forms, and an overview of classical thermodynamics is given in an appendix for a self-contained discourse C. Pozrikidis has taught at the University of California and the University of Massachusetts. He is the author of several books on theoretical and computational topics in science and engineering, applied mathematics, scientific computing, and computer science.

The theory of waves is generalized on cases of strongly nonlinear waves, multivalued waves, and particle-waves. The appearance of these waves in various continuous media and physical fields is explained by resonances and nonlinearity effects. Extreme waves emerging in different artificial and natural systems from atom scale to the Universe are explored. Vast amounts of experimental data and comparisons of them with the results of the developed theory are presented. The book was written for graduate students as well as for researchers and engineers in the fields of geophysics, nonlinear wave studies, cosmology, physical oceanography, and ocean and coastal engineering. It is designed as a professional reference for those working in the wave analysis and modeling fields.

Modeling of Extreme Waves in Technology and Nature is a two-volume set, comprising Evolution of Extreme Waves and Resonances (Volume I) and Extreme Waves and Shock-Excited Processes in Structures and Space Objects (Volume II). The theory of waves is generalized on cases of extreme waves. The formation and propagation of extreme waves of various physical and mechanical nature (surface, elastoplastic, fracture, thermal, evaporation) in liquid and solid media, and in structural elements contacting with bubbly and cryogenic liquids are considered analytically and numerically. The occurrence of tsunamis, giant ocean waves, turbulence, and different particle-waves is described as resonant natural phenomena. Nonstationary and periodic waves are considered using models of continuum. The change in the state of matter is taken into account using wide-range determining equations. The desire for the simplest and at the same time general description of extreme wave phenomena that takes the reader to the latest achievements of science is the main thing that characterizes this book and is revolutionary for wave theory. A description of a huge number of observations, experimental data, and calculations is also given.

Since antiquity, humanity has used engineering techniques to manage the transport and distribution of its most important resource fresh water. Population growth and climate change are making the good management of water resources ever more essential and this book focuses on advanced methods for the control of water flow in open-channel systems.

Open-channel hydraulics are described by hyperbolic equations, derived from laws of conservation of mass and momentum, called Saint-Venant equations. In conjunction with hydraulic structure equations these are used to represent the dynamic behavior of water flowing in rivers, irrigation canals, transportation waterways and sewers. A lot of water is wasted because of poor management of such systems and automatic control has long been identified as a possible way to improve their operational management.

Building on a detailed analysis of open-channel flow modeling, Modeling and Control of Hydrosystems constructs control design methodologies based on a frequency domain approach. The difficulty involved with rigorous design of boundary controllers for hyperbolic systems is well known but, in practice, many open-channel systems are controlled with classical input output controllers that are usually poorly tuned. The approach of this book, fashioning pragmatic engineering solutions for the control of open channels is given rigorous mathematical justification. Once the control objectives are clarified, a generic control design method is proposed, first for a canal pool, and then for a whole canal. The methods developed in the book have been validated on several canals of various dimensions, from experimental laboratory canals to a large scale irrigation canal.

From the detailed analysis of realistic open-channel flow dynamics, and moving to the design of effective controllers, Modeling and Control of Hydrosystems will be of interest to control and civil engineers, and also to academics from both fields.

The theory of waves is generalized on cases when waves change medium in which they appear and propagate. A reaction of structural elements and space objects to the dynamic actions of the different nature, durations, and intensities is studied. It considers the effects of transitions in the state and phase equations of media on the formation and propagation of extreme waves as a result of power, thermal, or laser pulsed action. The influence of cavitation and cool boiling of liquids, geometric and physical nonlinearity of walls on containers' strength, and the formation of extreme waves is studied. The theory can be also used to optimize impulse technology, in particular, in the optimization of explosive processing of sheet metal by explosion in a liquid. This book was written for researchers and engineers, as well as graduate students in the fields of thermal fluids, aerospace, nuclear engineering, and nonlinear waves.

This book contains invited lectures and selected contributions presented at the Enzo Levi and XIX Annual Meeting of the Fluid Dynamic Division of the Mexican Physical Society in 2013. It is aimed at fourth year undergraduate and graduate students, and scientists in the fields of physics, engineering and chemistry who are interested in fluid dynamics from an experimental and theoretical point of view. The invited lectures are introductory and avoid the use of complicated mathematics. The fluid dynamics applications include multiphase flow, convection, diffusion, heat transfer, rheology, granular material, viscous flow, porous media flow, geophysics and astrophysics. The material contained in the book includes recent advances in experimental and theoretical fluid dynamics and is suitable for both teaching and research.

The high temperatures generated in gases by shock waves give rise to physical and chemical phenomena such as molecular vibrational excitation, dissociation, ionization, chemical reactions and inherently related radiation. In continuum regime, these processes start from the wave front, so that generally the gaseous media behind shock waves may be in a thermodynamic and chemical non-equilibrium state. This book presents the state of knowledge of these phenomena. Thus, the thermodynamic properties of high temperature gases, including the plasma state are described, as well as the kinetics of the various chemical phenomena cited above. Numerous results of measurement and computation of vibrational relaxation times, dissociation and reaction rate constants are given, and various ionization and radiative mechanisms and processes are presented. The coupling between these different phenomena is taken into account as well as their interaction with the flow-field. Particular points such as the case of rarefied flows and the inside of the shock wave itself are also examined. Examples of specific non-equilibrium flows are given, generally corresponding to those encountered during spatial missions or in shock tube experiments.

Focuses on the methods of solving incompressible flows, although flows with significant property change due to heat transfer are also covered. Covers turbulent flow simulation, unstructured mesh, and two-phase flows. Uses a practical approach for CFD to build a foundation for those planning to work on low-speed flows. Provides detailed steps of solving 1-D and 2-D flow examples and MATLAB (R) codes of important algorithms. Includes numerous real-word examples and worked problems.

This book describes and explains the basis of bio-inspired, leading-edge tubercles based on humpback whale flippers as passive but effective flow control devices, as well as providing a comprehensive practical guide in their applications. It first discusses the morphology of the humpback whale flipper from a biological perspective, before presenting detailed experimental and numerical findings from past investigations by various experts on the benefits of leading-edge tubercles and their engineering implementations. Leading-edge tubercle designs and functions have attracted considerable interest from researchers in terms of understanding their role in the underwater agility of these whales, and to exploit their flow dynamics in the development of new and novel engineering solutions. Extensive research over the past recent years has demonstrated that the maneuverability of these whales is at least in part due to the leading-edge tubercles acting as passive flow control devices to delay stall and increase lift in the post-stall regime. In addition to the inherent benefits in terms of aerodynamics and hydrodynamics, investigations into leading-edge tubercles have also broadened into areas of noise attenuation, stability and industrial applications. This book touches upon these areas, with an emphasis upon the effects of lifting-surface types, flow regimes, tubercle geometries, lifting-surface stability and potential industrial applications, among others. As such, it features contributions from key experts in the fields of biology, physics and engineering who have conducted significant studies into understanding the various aspects of leading-edge tubercles. Given the broad coverage and in-depth analysis, this book will benefit academic researchers, practicing engineers and graduate students interested in tapping into such a unique but highly functional flow control strategy.

An unsurpassed treatise on the state-of-the-science in the research and design of spillways and energy dissipators, Hydraulics of Spillways and Energy Dissipators compiles a vast amount of information and advancements from recent conferences and congresses devoted to the subject. It highlights developments in theory and practice and emphasizing topics related to scale effect, dynamic flow measurement, and the analysis and interpretation of model results. Consolidates and compares the available information on various design approaches, procedures, and structure types to benefit practicing engineers. Reflecting the author's nearly four decades of experience in the field, this handbook Provides four broad sections on spillway design, flood- estimation and selection, various types of spillways and energy dissipators, and topics of special interest Offers valuable case studies and illustrative examples to effectively highlight key topics in the text Includes chapters on crucial design elements such as cavitation, air entrainment, and aerators Contains extensive discussions of spillway construction stages, dual purpose spillways, overtopping protection of earth dams used as spillways, unlined spillways, fuse plugs and fuse gate spillways, air entrainment and forced aeration, and protection against detrimental forces such as cavitation, uplift, and scour About the Author: RAJNIKANT M. KHATSURIA served as Additional Director, Central Water and Power Research Station, Pune, India, until his retirement in 2001. He joined the Central Water and Power Research Station in 1963 and was engaged in the research and design of hydraulic structures, based on hydraulic model studies. His special interests include spillways, energy dissipators, control and conveyance structures, and hydropower structures. He has completed nearly 150 projects pertaining to the above disciplines and has authored a number of technical papers and professional reports. He contributed towards the field standardization of overflow, non-overflow, and hydropower structures. He also served as the Senior Expert for WAPCOS (India) Ltd. (1989-90) for the planning and commissioning of the HLAB (hydraulics laboratory) at Al Taji, Baghdad, Iraq. He received the B.E. (1963) degree from Gujarat University, India, the M.E. (1975) degree from the University of Pune, India, and the M.S. (1981) degree from the University of Iowa, Iowa City.

Given the widespread interest in macroscopic phenomena in liquid crystals, stemming from their applications in displays and devices, the need has arisen for a rigorous yet accessible text suitable for graduate students, whatever their scientific background. This book satisfies that need.
The approach taken in this text, is to introduce the basic continuum theory from nematic liquid crystals in equilibium, then it proceeds to simple application of this theory- in particular, there is a discussion of electric and magnetic field effects which give rise to Freedericksz transitions, which are important in devices. This is followed by an account of dynamic theory and elementary viscometry of nematics. Discussions of backflow and flow-induced instabilities are also included. Smetic theory is also briefly introduced, summarised, with with some examples of equilibrium solutions as well as dynamic effects. A number of mathematical techniques, such as Cartesian tensors and some variational calculus, are presented in the appendices.

Requiring only an introductory background in continuum mechanics, including thermodynamics, fluid mechanics, and solid mechanics, Biofluid Dynamics: Principles and Selected Applications contains review, methodology, and application chapters to build a solid understanding of medical implants and devices. For additional assistance, it includes a glossary of biological terms, many figures illustrating theoretical concepts, numerous solved sample problems, and mathematical appendices. The text is geared toward seniors and first-year graduate students in engineering and physics as well as professionals in medicine and medical implant/device industries. It can be used as a primary selection for a comprehensive course or for a two-course sequence. The book has two main parts: theory, comprising the first two chapters; and applications, constituting the remainder of the book. Specifically, the author reviews the fundamentals of physical and related biological transport phenomena, such as mass, momentum, and heat transfer in biomedical systems, and highlights complementary topics such as two-phase flow, biomechanics, and fluid-structure interaction. Two appendices summarize needed elements of engineering mathematics and CFD software applications, and these are also found in the fifth chapter. The application part, in form of project analyses, focuses on the cardiovascular system with common arterial diseases, organ systems, targeted drug delivery, and stent-graft implants. Armed with Biofluid Dynamics, students will be ready to solve basic biofluids-related problems, gain new physical insight, and analyze biofluid dynamics aspects of biomedical systems.

Compiles Information from a Multitude of Sources Synthetic jets have been used in numerous applications, and are part of an emergent field. Accumulating information from hundreds of journal articles and conference papers, Synthetic Jets: Fundamentals and Applications brings together in one book the fundamentals and applications of fluidic actuators. Clearly and thoroughly explaining the mechanisms of underlying synthetic jet behavior-from aerospace to mechanical engineering-this book addresses a variety of aspects, and provides a holistic, systematic approach of the subject. Covers Fundamental Principles, Analysis Techniques, and Applications Designed as a starting point for newcomers, the book is divided into three parts: fundamentals, techniques, and applications, and focuses on a class of incompressible jet flows where the jet is made up of the surrounding fluid. It explores fluid dynamics, hydrodynamic modeling, acoustics, and fabrication. It covers key measurement techniques, computational modeling, and synthetic jet design. In addition to highlighting the concepts and applications of synthetic jets, (in particular their uses in flow control and thermal management in electronic devices), the book explores attempts to improve and accelerate the design and optimization processes (from flow control to electronic cooling and propulsion) involved in a wealth of applied knowledge. Features prominent experts in the field Surveys the state of the art Details a pathway to future advances in the industry Synthetic Jets: Fundamentals and Applications can be used as a guidebook for researchers, graduate students, and upper-level undergraduate students.

This book describes wetting fundamentals and reviews the standard protocol for contact angle measurements. The authors include a brief overview of applications of contact angle measurements in surface science and engineering. They also discuss recent advances and research trends in wetting fundamentals and include measurement techniques and data interpretation of contract angles.

Pneumatic conveying systems offer enormous advantages: flexibility in plant layout, automatic operation, easy control and monitoring, and the ability to handle diverse materials, especially dangerous, toxic, or explosive materials. The Handbook of Pneumatic Conveying Engineering provides the most complete, comprehensive reference on all types and sizes of systems, considering their selection, design, maintenance, and optimization. It offers practical guidelines, diagrams, and procedures to assist with plant maintenance, operation, and control. With well over fifty years of combined experience in the field, the authors promote practical, valuable approaches to test, evaluate, and correct both old and newly constructed systems. They include abundant checklists and approaches for preventing component wear, material degradation, and operating dilemmas and suggest lists of alternate materials and components to use if erosion does occur. Comparing various conveying system types, components, and flow mechanisms, the book explains the function of material flow, recommends conveying air velocity for different types of materials, and examines the conveying characteristics of a broad array of materials with emphasis on their impact on system performance. Brimming with invaluable checklists, models, guidelines, diagrams, and illustrations, the Handbook of Pneumatic Conveying Engineering is simply the most authoritative guide to pneumatic conveying available and a critical tool for your everyday work.

This innovative text emphasizes a "less-is-more" approach to modeling complicated systems such as heat transfer by treating them first as "1-node lumped models" that yield simple closed-form solutions. The author develops numerical techniques for students to obtain more detail, but also trains them to use the techniques only when simpler approaches fail. Covering all essential methods offered in traditional texts, but with a different order, Professor Sidebotham stresses inductive thinking and problem solving as well as a constructive understanding of modern, computer-based practice. Readers learn to develop their own code in the context of the material, rather than just how to use packaged software, offering a deeper, intrinsic grasp behind models of heat transfer. Developed from over twenty-five years of lecture notes to teach students of mechanical and chemical engineering at The Cooper Union for the Advancement of Science and Art, the book is ideal for students and practitioners across engineering disciplines seeking a solid understanding of heat transfer. This book also: * Adopts a novel inductive pedagogy where commonly understood examples are introduced early and theory is developed to explain and predict readily recognized phenomena * Introduces new techniques as needed to address specific problems, in contrast to traditional texts' use of a deductive approach, where abstract general principles lead to specific examples * Elucidates readers' understanding of the "heat transfer takes time" idea-transient analysis applications are introduced first and steady-state methods are shown to be a limiting case of those applications * Focuses on basic numerical methods rather than analytical methods of solving partial differential equations, largely obsolete in light of modern computer power * Maximizes readers' insights to heat transfer modeling by framing theory as an engineering design tool, not as a pure science, as has been done in traditional textbooks * Integrates practical use of spreadsheets for calculations and provides many tips for their use throughout the text examples

This book discusses the core principles and practical applications of a brand new machine category: liquid-metal soft machines and motors. After a brief introduction on the conventional soft robot and its allied materials, it presents the new conceptual liquid-metal machine, which revolutionizes existing rigid robots, both large and small. It outlines the typical features of the soft liquid-metal materials and describes the various transformation capabilities, mergence of separate metal droplets, self-rotation and planar locomotion of liquid-metal objects under external or internal mechanism. Further, it introduces a series of unusual phenomena discovered while developing the shape changeable smart soft machine and interprets the related mechanisms regarding the effects of the shape, size, voltage, orientation and geometries of the external fields to control the liquid-metal transformers. Moreover, the book illustrates typical strategies to construct a group of different advanced functional liquid-metal soft machines, since such machines or robots are hard to fabricate using rigid-metal or conventional materials. With highly significant fundamental and practical findings, this book is intended for researchers interested in establishing a general method for making future smart soft machine and accompanying robots.

This book considers the kinematics and dynamics of the flows of fluids exhibiting a yield stress. Continuum mechanics governing the fluid mechanics is described. Two chapters are dedicated to analytical solutions to several steady and unsteady flows of viscoplastic fluids, including flows with pressure-dependent rheological parameters. Perturbation methods, variational inequalities to solve fluid flow problems, and the use of energy methods are discussed. Numerical modeling using augmented Lagrangian, operator splitting, finite difference, and lattice Boltzmann methods are employed. The second edition provides new sections on flows of yield stress fluids with pressure-dependent rheological parameters, on flows with wall slip, and on deriving the fundamental equations for Boltzmann lattice materials. Furthermore new material on the lubrication approximation and applications of finite differences has been added.

Multi-phase flows are part of our natural environment such as tornadoes, typhoons, air and water pollution and volcanic activities as well as part of industrial technology such as power plants, combustion engines, propulsion systems, or chemical and biological industry. The industrial use of multi-phase systems requires analytical and numerical strategies for predicting their behavior. .In its fourth extended edition the successful monograph package Multiphase Flow Daynmics contains theory, methods and practical experience for describing complex transient multi-phase processes in arbitrary geometrical configurations, providing a systematic presentation of the theory and practice of numerical multi-phase fluid dynamics.

In the present second volume the methods for describing the mechanical interactions in multiphase dynamics are provided. This fourth edition includes various updates, extensions, improvements and corrections.

"The literature in the field of multiphase flows is numerous. Therefore, it is very important to have a comprehensive and systematic overview including useful numerical methods. The volumes have the character of a handbook and accomplish this function excellently. The models are described in detail and a great number of comprehensive examples and some cases useful for testing numerical solutions are included. These two volumes are very useful for scientists and practicing engineers in the fields of technical thermodynamics, chemical engineering, fluid mechanics, and for mathematicians with interest in technical problems. Besides, they can give a good overview of the dynamically developing, complex field of knowledge to students. This monograph is highly recommended,

BERND PLATZER, ZAAM

In the present second volume the methods for describing the mechanical interactions in multiphase dynamics are provided. This fourth edition includes various updates, extensions, improvements and corrections.

"The literature in the field of multiphase flows is numerous. Therefore, it is very important to have a comprehensive and systematic overview including useful numerical methods. The volumes have the character of a handbook and accomplish this function excellently. The models are described in detail and a great number of comprehensive examples and some cases useful for testing numerical solutions are included. These two volumes are very useful for scientists and practicing engineers in the fields of technical thermodynamics, chemical engineering, fluid mechanics, and for mathematicians with interest in technical problems. Besides, they can give a good overview of the dynamically developing, complex field of knowledge to students. This monograph is highly recommended,

BERND PLATZER, ZAAM

"The literature in the field of multiphase flows is numerous. Therefore, it is very important to have a comprehensive and systematic overview including useful numerical methods. The volumes have the character of a handbook and accomplish this function excellently. The models are described in detail and a great number of comprehensive examples and some cases useful for testing numerical solutions are included. These two volumes are very useful for scientists and practicing engineers in the fields of technical thermodynamics, chemical engineering, fluid mechanics, and for mathematicians with interest in technical problems. Besides, they can give a good overview of the dynamically developing, complex field of knowledge to students. This monograph is highly recommended,

BERND PLATZER, ZAAM

Environmental Fluid Mechanics provides comprehensive coverage of a combination of basic fluid principles and their application in a number of different situations-exploring fluid motions on the earth's surface, underground, and in oceans-detailing the use of physical and numerical models and modern computational approaches for the analysis of environmental processes. Environmental Fluid Mechanics covers novel scaling methods for a variety of environmental issues; equations of motion for boundary layers; hydraulic characteristics of open channel flow; surface and internal wave theory; the advection diffusion equation; sediment and associated contaminant transport in lakes and streams; mixed layer modeling in lakes; remediation; transport processes at the air/water interface; and more.

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.

Since many processes in the food industry involve fluid flow and heat and mass transfer, Computational Fluid Dynamics (CFD) provides a powerful early-stage simulation tool for gaining a qualitative and quantitative assessment of the performance of food processing, allowing engineers to test concepts all the way through the development of a process or system. Published in 2007, the first edition was the first book to address the use of CFD in food processing applications, and its aims were to present a comprehensive review of CFD applications for the food industry and pinpoint the research and development trends in the development of the technology; to provide the engineer and technologist working in research, development, and operations in the food industry with critical, comprehensive, and readily accessible information on the art and science of CFD; and to serve as an essential reference source to undergraduate and postgraduate students and researchers in universities and research institutions. This will continue to be the purpose of this second edition. In the second edition, in order to reflect the most recent research and development trends in the technology, only a few original chapters are updated with the latest developments. Therefore, this new edition mostly contains new chapters covering the analysis and optimization of cold chain facilities, simulation of thermal processing and modeling of heat exchangers, and CFD applications in other food processes.

This text, written as an introduction to fluid mechanics for students of all engineering disciplines, emphasizes fluid flow phenomena and their modelling. The level of mathematics is kept at the minimum so that a student can pay full attention to the complexities of the fundamental physical concepts and develop a physical feel of the subject. Common misapplications, misunderstandings and over-generalizations made by students are anticipated and cautioned against. Relatively newer and simpler treatments have been used in several topics such as Euler acceleration formula, Reynolds transport theorem and Bernoulli equation, and a new unified treatment of modelling, similitude and the basis of approximations has been presented. A preview of fluid flow phenomena in Chapter 1 and an overview in the epilogue are included. A whole array of applications from diverse engineering disciplines has been introduced through numerous solved examples and over five hundred carefully graded problems. In this new edition, Chapter 9 on Similitude and Modelling has been re-written so as to make it easier to understand, and suggestions of several users have been incorporated.

This book critically reexamines what turbulence really is, from a fundamental point of view and based on observations from nature, laboratories, and direct numerical simulations. It includes critical assessments and a comparative analysis of the key developments, their evolution and failures, along with key misconceptions and outdated paradigms. The main emphasis is on conceptual and problematic aspects, physical phenomena, observations, misconceptions and unresolved issues rather than on conventional formalistic aspects, models, etc. Apart from the obvious fundamental importance of turbulent flows, this emphasis stems from the basic premise that without corresponding progress in fundamental aspects there is little chance for progress in applications such as drag reduction, mixing, control and modeling of turbulence. More generally, there is also a desperate need to grasp the physical fundamentals of the technological processes in which turbulence plays a central role.