Hydrodynamics and Nonlinear Instabilities

Hydrodynamics and Nonlinear Instabilities
Author: Claude Godrèche
Publisher: Cambridge University Press
Total Pages: 701
Release: 1998-04-16
Genre: Mathematics
ISBN: 0521455030

Seven internationally respected contributors provide a coherent discussion of an important area in theoretical physics - an ideal book for researchers.

Hydrodynamics and Nonlinear Instabilities

Hydrodynamics and Nonlinear Instabilities
Author: Claude Godrèche
Publisher: Cambridge University Press
Total Pages: 700
Release: 2005-07-21
Genre: Science
ISBN: 9780521017633

This book presents five sets of pedagogical lectures by internationally respected researchers on nonlinear instabilities and the transition to turbulence in hydrodynamics. The book begins with a general introduction to hydrodynamics covering fluid properties, flow measurement, dimensional analysis and turbulence. Chapter two reviews the special characteristics of instabilities in open flows. Chapter three presents mathematical tools for multiscale analysis and asymptotic matching applied to the dynamics of fronts and localized nonlinear states. Chapter four gives a detailed review of pattern forming instabilities. The final chapter provides a detailed and comprehensive introduction to the instability of flames, shocks and detonations. Together, these lectures provide a thought-provoking overview of current research in this important area.

Hydrodynamic Instabilities

Hydrodynamic Instabilities
Author: François Charru
Publisher: Cambridge University Press
Total Pages: 411
Release: 2011-06-30
Genre: Science
ISBN: 1139500546

The instability of fluid flows is a key topic in classical fluid mechanics because it has huge repercussions for applied disciplines such as chemical engineering, hydraulics, aeronautics, and geophysics. This modern introduction is written for any student, researcher, or practitioner working in the area, for whom an understanding of hydrodynamic instabilities is essential. Based on a decade's experience of teaching postgraduate students in fluid dynamics, this book brings the subject to life by emphasizing the physical mechanisms involved. The theory of dynamical systems provides the basic structure of the exposition, together with asymptotic methods. Wherever possible, Charru discusses the phenomena in terms of characteristic scales and dimensional analysis. The book includes numerous experimental studies, with references to videos and multimedia material, as well as over 150 exercises which introduce the reader to new problems.

Introduction to Hydrodynamic Stability

Introduction to Hydrodynamic Stability
Author: P. G. Drazin
Publisher: Cambridge University Press
Total Pages: 278
Release: 2002-09-09
Genre: Science
ISBN: 1316582876

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.

Theory and Computation in Hydrodynamic Stability

Theory and Computation in Hydrodynamic Stability
Author: W. O. Criminale
Publisher: Cambridge University Press
Total Pages: 565
Release: 2019
Genre: Mathematics
ISBN: 1108475337

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

Hydrodynamic Instability and Transition to Turbulence

Hydrodynamic Instability and Transition to Turbulence
Author: Akiva M. Yaglom
Publisher: Springer Science & Business Media
Total Pages: 611
Release: 2012-12-18
Genre: Technology & Engineering
ISBN: 9400742371

This book is a complete revision of the part of Monin & Yaglom's famous two-volume work "Statistical Fluid Mechanics: Mechanics of Turbulence" that deals with the theory of laminar-flow instability and transition to turbulence. It includes the considerable advances in the subject that have been made in the last 15 years or so. It is intended as a textbook for advanced graduate courses and as a reference for research students and professional research workers. The first two Chapters are an introduction to the mathematics, and the experimental results, for the instability of laminar (or inviscid) flows to infinitesimal (in practice "small") disturbances. The third Chapter develops this linear theory in more detail and describes its application to particular problems. Chapters 4 and 5 deal with instability to finite-amplitude disturbances: much of the material has previously been available only in research papers.

Instabilities, Chaos and Turbulence

Instabilities, Chaos and Turbulence
Author: Paul Manneville
Publisher: World Scientific
Total Pages: 416
Release: 2004
Genre: Science
ISBN: 9781860944833

This book is an introduction to the application of nonlinear dynamics to problems of stability, chaos and turbulence arising in continuous media and their connection to dynamical systems. With an emphasis on the understanding of basic concepts, it should be of interest to nearly any science-oriented undergraduate and potentially to anyone who wants to learn about recent advances in the field of applied nonlinear dynamics. Technicalities are, however, not completely avoided. They are instead explained as simply as possible using heuristic arguments and specific worked examples.

Instabilities of Flows and Transition to Turbulence

Instabilities of Flows and Transition to Turbulence
Author: Tapan K. Sengupta
Publisher: CRC Press
Total Pages: 528
Release: 2012-04-24
Genre: Science
ISBN: 1439879443

Addressing classical material as well as new perspectives, Instabilities of Flows and Transition to Turbulence presents a concise, up-to-date treatment of theory and applications of viscous flow instability. It covers materials from classical instability to contemporary research areas including bluff body flow instability, mixed convection flows, and application areas of aerospace and other branches of engineering. Transforms and perturbation techniques are used to link linear instability with receptivity of flows, as developed by the author. The book: Provides complete coverage of transition concepts, including receptivity and flow instability Introduces linear receptivity using bi-lateral Fourier-Laplace transform techniques Presents natural laminar flow (NLF) airfoil analysis and design as a practical application of classical and bypass transition Distinguishes strictly between instability and receptivity, which leads to identification of wall- and free stream-modes Describes energy-based receptivity theory for the description of bypass transitions Instabilities of Flows and Transition to Turbulence has evolved into an account of the personal research interests of the author over the years. A conscious effort has been made to keep the treatment at an elementary level requiring rudimentary knowledge of calculus, the Fourier-Laplace transform, and complex analysis. The book is equally amenable to undergraduate students, as well as researchers in the field.

Non-Linear Instabilities in Plasmas and Hydrodynamics

Non-Linear Instabilities in Plasmas and Hydrodynamics
Author: V.N Oraevsky
Publisher: Routledge
Total Pages: 182
Release: 2017-11-22
Genre: Science
ISBN: 1351428209

For the first time in a single book, Non-Linear Instabilities in Plasmas and Hydrodynamics presents the underlying physics of fast secondary instabilities. This exceptionally well-written, introductory book discusses the basic ideas of the physics of secondary or induced, nonlinear instabilities in wave-sustaining media. The authors, world-renowned experts in the field, have brought together the results of papers scattered throughout the literature to explain subjects as diverse as fluctuation chaos, wave-turbulent instabilities, vortex dynamos, beam-plasma interactions, plasma confinement, and the origins of typhoons in the Earth's atmosphere and magnetic fields in galaxies. Paving the way for new and exciting research in the future, this broad, interdisciplinary book enables a wide range of physicists to apply the concepts discussed to obtain new results in plasma physics, space physics, hydrodynamics, and geophysics.