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Physics of Transitional Shear Flows

Part of the Fluid Mechanics and Its Applications Book Series (volume 98)

DOI: 10.1007/978-94-007-2498-3

ISBN: 978-94-007-2497-6

Publisher: Springer Netherlands - Springer Journals

Aug 13, 2011

1 - 10 of 13 Chapters

Available

Concept of hydrodynamic stability

Boiko, Andrey V.; Dovgal, Alexander V.; Grek, Genrih R.; Kozlov, Victor V.

Pages: 3 –12

[In the beginning of this chapter, based on elementary physical example, a general idea of stability of motion with respect to disturbances is introduced. Then it is conceptualized for fluid dynamic applications. Stability of fluid flows is categorized in regards of the behavior of kinetic energy...
Available

Theoretical aspects

Boiko, Andrey V.; Dovgal, Alexander V.; Grek, Genrih R.; Kozlov, Victor V.

Pages: 13 –32

[When studying the asymptotic stability of the basic flow, it is possible to simplify the problem essentially by reducing the consideration of nonlinear equations of motion to the analysis of linearized equations for disturbances. In this chapter, various aspects of the corresponding theory for...
Available

Instability of plane parallel flows

Boiko, Andrey V.; Dovgal, Alexander V.; Grek, Genrih R.; Kozlov, Victor V.

Pages: 35 –46

[In this chapter the essentials of the linear-stability analysis and corresponding experimental results for such truly parallel internal flows as the plane Couette and the plane Poiseuille flow are presented. For an interested reader, a set of simple MATLAB functions and exercises are provided...
Available

Instability of the flat-plate boundary layer

Boiko, Andrey V.; Dovgal, Alexander V.; Grek, Genrih R.; Kozlov, Victor V.

Pages: 47 –66

[The linear stability of the Blasius boundary layer which is a quasi-parallel rather than a strictly parallel flow is addressed in this chapter. At high Reynolds numbers, the wall-normal velocity V is small and the growth of the boundary layer is slow compared to distances characteristic for the...
Available

Instabilities of plane flows over curvilinear surfaces

Boiko, Andrey V.; Dovgal, Alexander V.; Grek, Genrih R.; Kozlov, Victor V.

Pages: 67 –90

[In this chapter, we consider the linear stability of some flows over a curvilinear wall, which have close relations to the plane shear layers considered in previous chapters: the Couette flow between concentric rotating cylinders, the flow in a curved channel, and the self-similar boundary layer...
Available

Some other basic factors of shear-layer stability

Boiko, Andrey V.; Dovgal, Alexander V.; Grek, Genrih R.; Kozlov, Victor V.

Pages: 91 –127

[This chapter describes the results of theoretical, numerical and experimental studies to show how different isolated factors affect the linear stability of parallel and quasi-parallel flows. The palette of these factors includes surface geometry, volume forces, temperature effects, presence of...
Available

Instability of separated boundary layers

Boiko, Andrey V.; Dovgal, Alexander V.; Grek, Genrih R.; Kozlov, Victor V.

Pages: 129 –146

[In this chapter we discuss flow instability at laminar boundary-layer separation that can happen on airfoils and wings, in diffusors, at sudden surface variations such as steps and bumps, etc. Within this topic, a good deal of research data is available for local separation regions generated...
Available

Linear wave packets of instability waves

Boiko, Andrey V.; Dovgal, Alexander V.; Grek, Genrih R.; Kozlov, Victor V.

Pages: 149 –158

[The ability to observe monochromatic instability waves in laboratory experiments is stipulated by controlled application of special disturbance sources, which excite small-amplitude oscillations at a single frequency with a predominant transverse wavenumber. In contrast, natural disturbances are...
Available

Transient disturbances in shear flows

Boiko, Andrey V.; Dovgal, Alexander V.; Grek, Genrih R.; Kozlov, Victor V.

Pages: 159 –176

[In the previous chapters, a far-field (asymptotic) response of shear flows to modal disturbances was considered. In this chapter, we concentrate on the response in the near-field of the disturbance source. As we know, the classical analysis of linear stability treats the disturbances as sets of...
Available

Excitation of shear flow disturbances

Boiko, Andrey V.; Dovgal, Alexander V.; Grek, Genrih R.; Kozlov, Victor V.

Pages: 177 –205

[Turbulence in convectively unstable shear flows subjected to extrinsic dynamics results from amplification of their perturbations, which are generated by external disturbances and usually start to grow far upstream of the turbulent flow region. In the previous chapters, we considered...

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