Hydrodynamic stability theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hydrodynamic stability theory write by A. Georgescu. This book was released on 2013-04-17. Hydrodynamic stability theory available in PDF, EPUB and Kindle. The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms.
Theory and Computation in Hydrodynamic Stability
Theory and Computation in Hydrodynamic Stability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory and Computation in Hydrodynamic Stability write by W. O. Criminale. This book was released on 2018-12-06. Theory and Computation in Hydrodynamic Stability available in PDF, EPUB and Kindle. Offers modern and numerical techniques for the stability of fluid flow with illustrations, an extensive bibliography, and exercises with solutions.
Introduction to Hydrodynamic Stability
Introduction to Hydrodynamic Stability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Hydrodynamic Stability write by P. G. Drazin. This book was released on 2002-09-09. Introduction to Hydrodynamic Stability available in PDF, EPUB and Kindle. 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.
Stability and Transition in Shear Flows
Stability and Transition in Shear Flows - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stability and Transition in Shear Flows write by Peter J. Schmid. This book was released on 2012-12-06. Stability and Transition in Shear Flows available in PDF, EPUB and Kindle. 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 Hamiltonian Fluid Dynamics and Stability Theory
Introduction to Hamiltonian Fluid Dynamics and Stability Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Hamiltonian Fluid Dynamics and Stability Theory write by Gordon E Swaters. This book was released on 2019-01-22. Introduction to Hamiltonian Fluid Dynamics and Stability Theory available in PDF, EPUB and Kindle. Hamiltonian fluid dynamics and stability theory work hand-in-hand in a variety of engineering, physics, and physical science fields. Until now, however, no single reference addressed and provided background in both of these closely linked subjects. Introduction to Hamiltonian Fluid Dynamics and Stability Theory does just that-offers a comprehensive introduction to Hamiltonian fluid dynamics and describes aspects of hydrodynamic stability theory within the context of the Hamiltonian formalism. The author uses the example of the nonlinear pendulum-giving a thorough linear and nonlinear stability analysis of its equilibrium solutions-to introduce many of the ideas associated with the mathematical argument required in infinite dimensional Hamiltonian theory needed for fluid mechanics. He examines Andrews' Theorem, derives and develops the Charney-Hasegawa-Mima (CMH) equation, presents an account of the Hamiltonian structure of the Korteweg-de Vries (KdV) equation, and discusses the stability theory associated with the KdV soliton. The book's tutorial approach and plentiful exercises combine with its thorough presentations of both subjects to make Introduction to Hamiltonian Fluid Dynamics and Stability Theory an ideal reference, self-study text, and upper level course book.
