Hydrodynamic instabilities
By: François Charru ; translated by Patricia de Forcrand-Millard
Series: Cambridge texts in applied mathematics -- 37
Publisher: Cambridge University Press
Published: 2011
Place of publication: Cambridge; New York
Language: eng
ISBN-13: 9780521769266; 9780521143516
Subjects: Unsteady flow (Fluid dynamics)
Work titles: Instabilités hydrodynamiques
Description: "The instability of fluids is a key topic in classical fluid mechanics because it has huge repercussions for applied disciplines such as chemical engineering, hydraulics, aeronautics and meteorology. 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 dynamics provides the basic structure of the exposition and, wherever possible, Charru discusses the phenomena in terms of characteristic scales and dimensional analysis. Asymptotic methods also play an important role. 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"--
Notes: Includes bibliographical references and index.
Table of contents: title: Machine generated contents note: Preface; 1. Introduction; 2. Instabilities of fluids at rest; 3. Stability of open flows: basic ideas; 4. Inviscid instability of parallel flows; 5. Viscous instability of parallel flows; 6. Instabilities at low Reynolds number; 7. Avalanches, ripples, and dunes; 8. Nonlinear dynamics of systems with few degrees of freedom; 9. Nonlinear dispersive waves; 10. Nonlinear dynamics of dissipative systems; 11. Dynamical systems and bifurcations; Appendix. The Saint-Venant equations; Bibliography; Index.