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


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, ...

See more details below
Hardcover (2012)
$159.00 price
Other sellers (Hardcover)
  • All (8) from $117.48   
  • New (7) from $117.48   
  • Used (1) from $158.99   
Sending request ...


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 and type in the ISBN for this volume.

Read More Show Less

Product Details

  • ISBN-13: 9789400724976
  • Publisher: Springer Netherlands
  • Publication date: 9/15/2011
  • Series: Fluid Mechanics and Its Applications Series, #98
  • Edition description: 2012
  • Edition number: 1
  • Pages: 272
  • Product dimensions: 6.00 (w) x 9.10 (h) x 0.90 (d)

Table of Contents

Part I Fundamentals of the linear stability theory : 1 Concept of hydrodynamic stability.- 1.1 Hydrodynamic stability .- 1.2 Stability of fluid motion in time .- 1.2.1 Critical parameters for onset of instability .- 1.2.2 Conditional stability .- 1.2.3 Growth of disturbance energy .- References .- Further Reading .- 2 Theoretical aspects : 2.1 Formulation of linear hydrodynamic stability problems .- 2.1.1 Spectral formulation of stability .- 2.1.2 Inviscid instability mechanism .- 2.1.3 Viscous instability mechanism .- 2.2 Instability in space .- 2.3 Gaster’s transformation .- 2.4 Squire theorem .- 2.5 Adjoint problem and bi-orthogonality of normal modes .- 2.6 Completeness of solutions for the Orr–Sommerfeld and Squire equations.- References .- Further Reading .- Part II Generic problems : 3 Instability of plane parallel flows : 3.1 Plane Couette flow .- 3.2 Plane Poiseuille flow .- 3.2.1 Numerical results .- 3.2.2 Experimental linear stability investigations .- 3.3 Method of linear stability calculations .- Exercises.- References .- Further Reading .- 4 Instability of the flat-plate boundary layer : 4.1 Historical notes .- 4.2 Solution of the Orr–Sommerfeld equation for the boundary layers .- 4.3 Nonparallel flow effects .- 4.3.1 Outline of theoretical approaches to account for nonparallel effects .- 4.3.2 Modern view on the place and role of nonparallel effects in the Blasius boundary layer .- Exercises .- References .- Further Reading .- 5 Instabilities of plane flows over curvilinear surfaces: 5.1 Influence of curvature on the basic flow .- 5.1.1 Equations of motion in cylindrical coordinates .- 5.1.2 Description of the flow in boundary layers over curvilinear surfaces .- 5.2 Hydrodynamic instability at curvilinear surfaces .- 5.2.1 Taylor problem .- 5.2.2 Dean problem .- 5.2.3 G¨ortler problem .- Exercises .- References .- Further Reading .- 6 Some other basic factors of shear-layer stability: 6.1 Axial flow symmetry .- 6.2 Two-dimensional geometry .- 6.3 Transverse flow periodicity .- 6.4 Pressure gradients .- 6.4.1 Streamwise pressure gradient .- 6.4.2 Transverse pressure gradient .- 6.5 Heat transfer .- 6.6 Fluid suction .- 6.7 Compliant boundaries .- 6.8 Dusty flow .- Exercises .- References .- Further Reading .- 7 Instability of separated boundary layers.- 7.1 Basic features of separated flow instability .- 7.2 Linear instability at flow separation in plane configurations .- 7.2.1 Waveform .- 7.2.2 Growth rates .- 7.2.3 Propagation velocities.- 7.3 Instability of axisymmetric separation bubbles .- 7.4 Flow instability at separation of a swept-wing boundary layer .- 7.5 Outline of approaches for linear stability calculations in separation regions .- Exercises .- References .- Further Reading .- Part III Special topics on linear stability .- 8 Linear wave packets of instability waves .- 8.1 Classification of wave packets .- 8.2 Group velocity .- 8.3 Experimental investigations of wave packets .- Exercises .- References .- Further Reading .- 9 Transient disturbances in shear flows.- 9.1 Lift-up effect .- 9.2 Growth of optimal disturbances .- 9.3 Experimental studies .- Exercises .- References .- Further Reading .- 10 Excitation of shear flow disturbances .- 10.1 Receptivity problem .- 10.2 Localized and distributed generation of laminar flow disturbances .- 10.3 Methodology of receptivity studies .- 10.3.1 Theoretical approaches .- 10.3.2 Experimental strategy .- 10.4 Receptivity of two-dimensional boundary layers .- 10.4.1 Leading-edge receptivity .- 10.4.2 Excitation of instability waves at local boundary-layer nonuniformities.- 10.4.3 Receptivity to localized unsteady disturbances .- 10.4.4 Excitation of instability waves at laminar boundary-layer separation .- 10.5 Receptivity of a swept-wing boundary layer .- 10.6 Excitation of the G¨ortler vortices .- 10.7 Excitation of streaky structures .- 10.7.1 Localized generation of streaks .- 10.7.2 Distributed generation of streaks.- References .- Further Reading .- 11 Secondary instabilities of shear layers .- 11.1 Secondary instability in a flow modulated by the Tollmien–Schlichting waves .- 11.2 Secondary instability in flows modulated by streamwise vortices and streaks .- 11.3 Local high-frequency secondary instability .- References .- Further Reading .- Part IV Onset of turbulence.- 12 Nonlinear effects during the laminar–turbulent transition .- 12.1 Onset of nonlinearity .- 12.2 Basic nonlinear scenarios .- 12.2.1 K- and N-regimes of the laminar–turbulent transition .- 12.2.2 Oblique breakdown .- 12.2.3 Nonlinearity of locally separating boundary layers .- 12.3 Transition to turbulence in boundary layers at a high free-stream disturbance level .- 12.3.1 Linear Tollmien–Schlichting waves in the presence of streaks .- 12.3.2 Interaction of the streaks with the Tollmien–Schlichtingwaves.- References .- Further Reading .- 13 Generation of turbulence .- 13.1 Wave combinations and intermittency .- 13.2 Turbulent spots .- 13.2.1 Isolated turbulent spots .- 13.2.2 Interaction of turbulent spots .- 13.2.3 Turbulent spots in the presence of other disturbances .- 13.3 Super-late stage of the transition: ‘Deterministic turbulence’ .- References .- Further Reading .- A Basic engineering aspects of the laminar–turbulent transition.- A.1 Transition prediction .- A.2 Outline of the linear control theory ;References .- Further Reading .- Index.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)