Physics of Transitional Shear Flows: Instability and Laminar–Turbulent Transition in Incompressible Near-Wall Shear Layers

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Starting from fundamentals of classical stability theory, an overview is given of the transition phenomena in subsonic, wall-bounded shear flows. At first, the consideration focuses on elementary small-amplitude velocity perturbations of laminar shear layers, i.e. instability waves, in the simplest canonical configurations of a plane channel flow and a flat-plate boundary layer. Then the linear stability problem is expanded to include the effects of pressure gradients, flow curvature, boundary-layer separation, wall compliance, etc. related to applications. Beyond the amplification of instability waves is the non-modal growth of local stationary and non-stationary shear flow perturbations which are discussed as well. The volume continues with the key aspect of the transition process, that is, receptivity of convectively unstable shear layers to external perturbations, summarizing main paths of the excitation of laminar flow disturbances. The remainder of the book addresses the instability phenomena found at late stages of transition. These include secondary instabilities and nonlinear features of boundary-layer perturbations that lead to the final breakdown to turbulence. Thus, the reader is provided with a step-by-step approach that covers the milestones and recent advances in the laminar-turbulent transition. Special aspects of instability and transition are discussed through the book and are intended for research scientists, while the main target of the book is the student in the fundamentals of fluid mechanics. Computational guides, recommended exercises, and PowerPoint multimedia notes based on results of real scientific experiments supplement the monograph. These are especially helpful for the neophyte to obtain a solid foundation in hydrodynamic stability.

To access the supplementary material go to extras.springer.com and type in the ISBN for this volume.

Author(s): Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov (auth.)
Series: Fluid Mechanics and Its Applications 98
Edition: 1
Publisher: Springer Netherlands
Year: 2012

Language: English
Pages: 272
Tags: Fluid- and Aerodynamics;Engineering Fluid Dynamics;Numerical and Computational Physics

Front Matter....Pages I-XXVII
Front Matter....Pages 1-1
Concept of hydrodynamic stability....Pages 3-12
Theoretical aspects....Pages 13-32
Front Matter....Pages 33-33
Instability of plane parallel flows....Pages 35-46
Instability of the flat-plate boundary layer....Pages 47-66
Instabilities of plane flows over curvilinear surfaces....Pages 67-90
Some other basic factors of shear-layer stability....Pages 91-127
Instability of separated boundary layers....Pages 129-146
Front Matter....Pages 147-147
Linear wave packets of instability waves....Pages 149-158
Transient disturbances in shear flows....Pages 159-176
Excitation of shear flow disturbances....Pages 177-205
Secondary instabilities of shear layers....Pages 207-220
Front Matter....Pages 221-221
Nonlinear effects during the laminar–turbulent transition....Pages 223-242
Generation of turbulence....Pages 243-257
Back Matter....Pages 259-271