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Physics of Transitional Shear Flows

Instability and Laminar–Turbulent Transition in Incompressible Near-Wall Shear Layers

  • Andrey V. Boiko
  • Alexander V. Dovgal
  • Genrih R. Grek
  • Victor V. Kozlov

Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 98)

Table of contents

  1. Front Matter
    Pages I-XXVII
  2. Fundamentals of the linear stability theory

    1. Front Matter
      Pages 1-1
    2. Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov
      Pages 3-12
    3. Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov
      Pages 13-32
  3. Generic problems

    1. Front Matter
      Pages 33-33
    2. Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov
      Pages 35-46
    3. Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov
      Pages 47-66
    4. Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov
      Pages 67-90
    5. Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov
      Pages 91-127
    6. Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov
      Pages 129-146
  4. Special topics on linear stability

    1. Front Matter
      Pages 147-147
    2. Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov
      Pages 149-158
    3. Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov
      Pages 159-176
    4. Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov
      Pages 177-205
    5. Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov
      Pages 207-220
  5. Onset of turbulence

    1. Front Matter
      Pages 221-221
    2. Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov
      Pages 223-242
    3. Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek, Victor V. Kozlov
      Pages 243-257
  6. Back Matter
    Pages 259-271

About this book

Introduction

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.

Keywords

boundary layers flow transition hydrodynamic instability shear layers turbulence

Authors and affiliations

  • Andrey V. Boiko
    • 1
  • Alexander V. Dovgal
    • 2
  • Genrih R. Grek
    • 3
  • Victor V. Kozlov
    • 4
  1. 1.Inst. Theoretical & Applied MechanicsRussian Academy of SciencesNovosibirskRussian Federation
  2. 2.Inst. Theoretical & Applied MechanicsRussian Academy of SciencesNovosibirskRussian Federation
  3. 3.Inst. Theoretical & Applied MechanicsRussian Academy of SciencesNovosibirskRussian Federation
  4. 4.Inst. Theoretical & Applied MechanicsRussian Academy of SciencesNovosibirskRussian Federation

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-2498-3
  • Copyright Information Springer Science+Business Media B.V. 2012
  • Publisher Name Springer, Dordrecht
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-94-007-2497-6
  • Online ISBN 978-94-007-2498-3
  • Series Print ISSN 0926-5112
  • Buy this book on publisher's site