Stability and Transition in Shear Flows


Book Description

A detailed look at some of the more modern issues of hydrodynamic stability, including transient growth, eigenvalue spectra, secondary instability. It presents analytical results and numerical simulations, linear and selected nonlinear stability methods. By including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course. It is equally of value as a reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Stability theory has seen a rapid development over the past decade, this book includes such new developments as direct numerical simulations of transition to turbulence and linear analysis based on the initial-value problem.




Stability and Transition in Shear Flows


Book Description

A detailed look at some of the more modern issues of hydrodynamic stability, including transient growth, eigenvalue spectra, secondary instability. It presents analytical results and numerical simulations, linear and selected nonlinear stability methods. By including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course. It is equally of value as a reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Stability theory has seen a rapid development over the past decade, this book includes such new developments as direct numerical simulations of transition to turbulence and linear analysis based on the initial-value problem.




Stability and Transition in Shear Flows


Book Description

A detailed look at some of the more modern issues of hydrodynamic stability, including transient growth, eigenvalue spectra, secondary instability. It presents analytical results and numerical simulations, linear and selected nonlinear stability methods. By including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course. It is equally of value as a reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Stability theory has seen a rapid development over the past decade, this book includes such new developments as direct numerical simulations of transition to turbulence and linear analysis based on the initial-value problem.




Introduction to Hydrodynamic Stability


Book Description

Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.




Transitions Before the Transition


Book Description

Modern human origins and the fate of the Neanderthals are arguably the most compelling and contentious arenas in paleoanthropology. The much-discussed split between advocates of a single, early emergence of anatomically modern humans in sub-Saharan Africa and supporters of various regional continuity positions is only part of the picture. Equally if not more important are questions surrounding the origins of modern behavior, and the relationships between anatomical and behavioral changes that occurred during the past 200,000 years. Although modern humans as a species may be defined in terms of their skeletal anatomy, it is their behavior, and the social and cognitive structures that support that behavior, which most clearly distinguish Homo sapiens from earlier forms of humans. This book assembles researchers working in Eurasia and Africa to discuss the archaeological record of the Middle Paleolithic and the Middle Stone Age. This is a time period when Homo sapiens last shared the world with other species, and during which patterns of behavior characteristic of modern humans developed and coalesced. Contributions to this volume query and challenge some current notions about the tempo and mode of cultural evolution, and about the processes that underlie the emergence of modern behavior. The papers focus on several fundamental questions. Do typical elements of "modern human behavior" appear suddenly, or are there earlier archaeological precursors of them? Are the archaeological records of the Middle Paleolithic and Middle Stone Age unchanging and monotonous, or are there detectable evolutionary trends within these periods? Coming to diverse conclusions, the papers in this volume open up new avenues to thinking about this crucial interval in human evolutionary history.




Theory and Computation in Hydrodynamic Stability


Book Description

Offers modern and numerical techniques for the stability of fluid flow with illustrations, an extensive bibliography, and exercises with solutions.




Developmental Transitions


Book Description

How can we make sense of change and stability through the lifespan of human development? What role does personal experience, our relationships with others, and historical and sociocultural contexts play in shaping these changes? This is the first book to offer an integrative overview of the range of developmental transitions which occur through the lifespan. Bringing together different theoretical and conceptual perspectives and a broad range of empirical research including quantitative and qualitative approaches, this book encompasses a range of complex transitional forms. Covering topics such as health transitions, transitions in friendships and romantic relationships, career transitions, and societal transitions, this book takes the reader beyond a focus on childhood and adolescence, to look at the whole lifespan. Reflecting a perspective that takes into account a sociocultural past and present, this book seeks to show how transitions can be viewed as both an experience of uncertainty and possibility. Transitions perform important functions and present psychosocial opportunities. Developmental Transitions is essential reading for all undergraduate and graduate students of developmental and cultural psychology and is also a valuable resource for academics and practitioner audiences interested in stability and change as people age.




Markov Chains and Stochastic Stability


Book Description

New up-to-date edition of this influential classic on Markov chains in general state spaces. Proofs are rigorous and concise, the range of applications is broad and knowledgeable, and key ideas are accessible to practitioners with limited mathematical background. New commentary by Sean Meyn, including updated references, reflects developments since 1996.




Unsteady Combustor Physics


Book Description

Developing clean, sustainable energy systems is a pre-eminent issue of our time. Most projections indicate that combustion-based energy conversion systems will continue to be the predominant approach for the majority of our energy usage. Unsteady combustor issues present the key challenge associated with the development of clean, high-efficiency combustion systems such as those used for power generation, heating or propulsion applications. This comprehensive study is unique, treating the subject in a systematic manner. Although this book focuses on unsteady combusting flows, it places particular emphasis on the system dynamics that occur at the intersection of the combustion, fluid mechanics and acoustic disciplines. Individuals with a background in fluid mechanics and combustion will find this book to be an incomparable study that synthesises these fields into a coherent understanding of the intrinsically unsteady processes in combustors.




Instability in Geophysical Flows


Book Description

Instabilities are present in all natural fluids from rivers to atmospheres. This book considers the physical processes that generate instability. Part I describes the normal mode instabilities most important in geophysical applications, including convection, shear instability and baroclinic instability. Classical analytical approaches are covered, while also emphasising numerical methods, mechanisms such as internal wave resonance, and simple `rules of thumb' that permit assessment of instability quickly and intuitively. Part II introduces the cutting edge: nonmodal instabilities, the relationship between instability and turbulence, self-organised criticality, and advanced numerical techniques. Featuring numerous exercises and projects, the book is ideal for advanced students and researchers wishing to understand flow instability and apply it to their own research. It can be used to teach courses in oceanography, atmospheric science, coastal engineering, applied mathematics and environmental science. Exercise solutions and MATLABĀ® examples are provided online. Also available as Open Access on Cambridge Core.