ABSTRACT
This book covers material ranging from (i) classical linear hydrodynamic instability; (ii) receptivity and instability of different types; (iii) vortex induced instability and bypass transition; (iv) transient growth and spatio-temporal instability; (v) bifurcation and dynamical system theory of nonlinear instability for different flows; (vi) instability of mixed convection flow by restricted heat transfer; (vii) instability of three dimensional flows and (viii) applications of instability and transition for flow past airfoils. These topics are admixtures of linear and nonlinear aspects of flow instabilities studied via analytical and computational routes. For this latter reason, we have detailed discussions on computing related to unstable, transitional and turbulent flows. Thus, theoretical results are supplemented by computational results obtained by specifically developed high accuracy direct numerical simulation (DNS) techniques. For this purpose, special attention is devoted to understanding waves and the role of computing errors. However, over-riding all the special aspects, one must understand concepts of fundamental principles of receptivity and instability.
