Synopses & Reviews
This book is a detailed look at some of the more modern issues of hydrodynamic stability, including transient growth, eigenvalue spectra, secondary instability. Analytical results and numerical simulations, linear and (selected) nonlinear stability methods will be presented. 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 will also be of value as a reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Since the appearance of "Drazin & Reid", no book on hydrodynamic stability theory has been published. However, stability theory has seen a rapid development over the past decade. Direct numerical simulations of transition to turbulence and linear analysis based on the initial-value problem are two of many such developments that will be included in the book.
Synopsis
The field of hydrodynamic stability has a long history, going back to Rey nolds and Lord Rayleigh in the late 19th century. Because of its central role in many research efforts involving fluid flow, stability theory has grown into a mature discipline, firmly based on a large body of knowledge and a vast body of literature. The sheer size of this field has made it difficult for young researchers to access this exciting area of fluid dynamics. For this reason, writing a book on the subject of hydrodynamic stability theory and transition is a daunting endeavor, especially as any book on stability theory will have to follow into the footsteps of the classical treatises by Lin (1955), Betchov & Criminale (1967), Joseph (1971), and Drazin & Reid (1981). Each of these books has marked an important development in stability theory and has laid the foundation for many researchers to advance our understanding of stability and transition in shear flows."
Synopsis
"Stability theory has seen rapid development over the past decade. This textbook gives a modern introduction to the hydrodynamic stability theory of shear flows. It treats both classical theories such as modal analysis, weakly nonlinear theory and resonances, and more recent developments such as non-modal analysis, receptivity and secondary instability theory. The last chapter addresses transition in shear flows and applies numerous techniques developed in the book to analyze and quantify transition scenarios for a variety of shear flows. Simple model problems to motivate mathematical concepts are used throughout the book, as are experimental results and computed illustrations to complement theoretical findings. This text will be useful to graduate students, as well as be a valuable reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Additionally those who are involved in general and applied fluid mechanics may also find this book of interest."
Synopsis
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.
Table of Contents
Introduction.- General results.- Linear inviscid analysis.- Eigensolutions to the viscous problem.- Linear transient growth.- Non-linear results.- The spatial problem.- Appendix A. Notes on numerical methods for accurate results.- Appendix B. Model problem.