Physics of transitional shear flows : instability and laminar-turbulent transition in incrompressible 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...
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| Hlavní autoři: | , , , |
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2012. |
| Edice: | Fluid Mechanics and Its Applications
98 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Notice rédigée d'aprés la consultation du 2014-03-27 Pagination aprés impression : XXVII-271 p. Titre provenant de la page de titre du document numérisé Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Physics of transitional shear flows, instability and laminar-turbulent transition in incrompressible near-wall shear layers, Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek... [et al.], Dordrecht, Springer, 2012, 1 vol. (XXVII-271 p.), Fluid mechanics and its applications, 978-94-007-2497-6 • Physics of Transitional Shear Flows, Texte imprimé, 9789400737112 • Physics of transitional shear flows, instability and laminar-turbulent transition in incrompressible near-wall shear layers, Andrey V. Boiko, Alexander V. Dovgal, Genrih R. Grek... [et al.], Dordrecht, Springer, 2012, 1 vol. (XXVII-271 p.), Fluid mechanics and its applications, 978-94-007-2497-6 • Physics of Transitional Shear Flows, Texte imprimé, 9789400724990 |
Obsah:
- 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