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2 edition of Hydrodynamic Stability Theory found in the catalog.

Hydrodynamic Stability Theory

by A. Georgescu

  • 104 Want to read
  • 14 Currently reading

Published by Springer Verlag .
Written in English


The Physical Object
Paginationp.
ID Numbers
Open LibraryOL27044449M
ISBN 109048182891
ISBN 109789048182893
OCLC/WorldCa731922797

Hydrodynamic stability theory is a framework within fluid dynamics strongly related to dynamical system theory from a mathematical point of view (since it makes use of notions such as fixed points. 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.

developed to solve hydrodynamic stability problems, and hydrodynamic stability theory remains an exceptionally active area of research, with several exciting new developments being reported over the last few years. In this course, an overview of some of these recent developments will be presented. After an introduction to the general concepts ofFile Size: KB. The book is written from the point of view intrinsic to fluid mechanics and applied mathematics. The analytical aspects of the theory are emphasized. However, it has also been tried, wherever possible, to relate the theory to experimental and numerical results. Mechanisms of instability are considered along with fundamental concepts of hydrodynamic stability, the Kelvin-Helmholtz instability.

The book concludes with a chapter describing some of the fundamental ideas involved in current work on nonlinear hydrodynamic stability. The emphasis throughout is on the ideas involved, the physical mechanisms, the methods used, and the results obtained, and, wherever possible, the theory is related to both experimental and numerical results/5(4). This book begins with a basic introduction to three major areas of hydrodynamic stability: thermal convection, rotating and curved flows, and parallel shear flows. There follows a comprehensive account of the mathematical theory for parallel shear flows.


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Hydrodynamic Stability Theory by A. Georgescu Download PDF EPUB FB2

Hydrodynamic stability is of fundamental importance in fluid mechanics and is concerned with the problem of transition from laminar to turbulent flow. Drazin and Reid emphasise throughout the ideas involved, the physical mechanisms, the methods used, and the results obtained, and, wherever possible, relate the theory to both experimental and.

Theory of stability of rotating shear flows. Fluid Dynamics, Vol. 42, Issue. 3, p. if you want to know about hydrodynamic stability, get it, pen and paper, maybe a computer, and start working through it. Source: The Mathematical Gazette 'Drazin's book is an excellent first introduction to this subject and a very useful book has Cited by: hydrodynamic stability theory Download hydrodynamic stability theory or read online books in PDF, EPUB, Tuebl, and Mobi Format.

Click Download or Read Online button to get hydrodynamic stability theory book now. This site is like a library, Use search box in the widget to get ebook that you want.

This book begins with a basic introduction to three major areas of hydrodynamic stability: thermal convection, rotating and curved flows, and parallel shear flows. There follows a comprehensive account of the mathematical theory for parallel shear by: 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 Cited by: 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. 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. Rating: (not yet rated) 0 with reviews.

6 An Introduction to Hydrodynamic Stability Fig. Oscillations in a continuously and stably stratified fluid where gis the acceleration due to gravity and ı is the density difference between the parcel and the ambient fluid at z 0C ı is infinitesimal, it can be ex-pressed as ı D ızd=d z.

We may rewrite ()as d2ız dt2File Size: KB. 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. Additional Physical Format: Online version: Lin, C.C. (Chia-Chʻiao), Theory of hydrodynamic stability.

Cambridge [Eng.] University Press, 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 Price: $ 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. This book begins with a basic introduction to three major areas of hydrodynamic stability: thermal convection, rotating and curved flows, and parallel shear flows. There follows a comprehensive account of the mathematical theory for parallel shear flows.

A number of applications of the linear theory are discussed, including the effects of stratification and unsteadiness. Surveyed in this book are the kinetics of non-linear mass transfer and its effects on hydrodynamic stability in systems with intensive interphase mass transfer, in electrochemical systems with high current density and in chemically reacting systems.

This book begins with a basic introduction to three major areas of hydrodynamic stability: thermal convection, rotating and curved flows, and parallel shear flows.

There follows a comprehensive account of the mathematical theory for parallel shear flows. A number of applications of the linear theory are discussed, including the effects of stratification and unsteadiness.5/5(1).

This book begins with a basic introduction to three major areas of hydrodynamic stability: thermal convection, rotating and curved flows, and parallel shear flows. There follows a comprehensive account of the mathematical theory for parallel shear flows/5(4).

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.

The Methods of Hydrodynamic Stability 6 Further Reading and Looking 8 2 Introduction to the Theory of Steady Flows, Their Bifurcations and Instability 10 Bifurcation 10 Instability 19 Stability and the Linearized Problem 28 3 Kelvin–Helmholtz Instability 45 Basic Flow 45 Physical Description of the Instability Hydrodynamic stability is of fundamental importance in fluid mechanics and is concerned with the problem of transition from laminar to turbulent flow.

Drazin and Reid emphasise throughout the ideas involved, the physical mechanisms, the methods used, and the results obtained, and, wherever possible, relate the theory to both experimental and numerical results.

A distinctive feature of the book. The book concludes with a chapter describing some of the fundamental ideas involved in current work on nonlinear hydrodynamic stability. The emphasis throughout is on the ideas involved, the physical mechanisms, the methods used, and the results obtained, and, wherever possible, the theory is related to both experimental and numerical results/5(4).

This book begins with a basic introduction to three major areas of hydrodynamic stability: thermal convection, rotating and curved flows, and parallel shear flows. There follows a comprehensive account of the mathematical theory for parallel shear flows/5(4).• General introduction to Hydrodynamic Instabilities • Linear instability of parallel flows o Inviscid vs.

viscous, temporal vs. spatial, absolute vs. convective instabilities • Non-modal instabilities o Transient growth, resolvent, receptivity, sensitivity, adjoint equations • Extension to .'Š the authors have achieved their aims in setting out in a very coherent manner a thorough explanation of the up-to-date theory of hydrodynamic stability.

The book will be of much interest to all postgraduate researchers in fluid dynamics and is an excellent reference text.' Contemporary Physics, 'â Š overall I am very impressed with this text.