Hydrodynamic Stability

ISBN-13: 9780521525411 / Angielski / Miękka / 2004 / 628 str.

P. G. Drazin; W. H. Reid

Opis

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. The emphasis throughout is on the ideas involved, the physical mechanisms, the methods used, and the results obtained. Wherever possible, the theory is related to both experimental and numerical results. A distinctive feature of the book is the large number of problems it contains. These problems (for which hints and references are given) not only provide exercises for students but also provide many additional results in a concise form.

Recenzje

'… continues to be … essential reading in hydrodynamic stability, in particular for the novice. … detailed solutions to many problems [are] given at the end of each section.' Zentralblatt MATH

Spis treści

Foreword; Preface; 1. Introduction; 2. Thermal instability; 3. Centrifugal instability; 4. Parallel shear flows; 5. Uniform asymptotic approximations; 6. Additional topics in linear stability theory; 7. Nonlinear stability; Appendix A. A class of generalized Airy functions; Appendix B. Solutions to the problems; Bibliography; Motion picture index; Subject index.