Abstract
While in Chap. 10 we focused on the instability and breakdown of axial vortices, in this chapter we turn to the instability of shear layers, both free and wall-bounded. Unlike axial vortices, however, shear-flow transition from laminar to turbulent and fully developed turbulent shear flows have been the main field of turbulence and investigated much more comprehensively and intensively, including the vortical structures therein, which will be our main concern.
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Notes
- 1.
The word “break” here does not mean the specific breakdown process of an axial vortex discussed in Sect. 10.3.
- 2.
While turbulent flows all have chaotic behavior, the reverse is not true.
- 3.
Reynolds shear stress \(-\overline{u'v'}\) is one’s main concern in the study of wall turbulence, because it affects the mean velocity profile. There are of course other components such as \(-\overline{u'u'}, -\overline{u'w'}\), etc., which we do not consider here.
- 4.
Since the boundary layer is very thin compared to the cone radius, the flow was quasi two-dimensional. Here and below the experimental results are all displayed and analyzed on a meridional plane with Cartisian coordinates (x, y) with velocity components (u, v), vorticity \(\omega =\partial _xv-\partial _yu\), and dilatation \(\vartheta =\partial _xu+\partial _yv\).
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© 2015 Springer-Verlag Berlin Heidelberg
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Wu, JZ., Ma, HY., Zhou, MD. (2015). Vortical Structures in Transitional and Turbulent Shear Flows. In: Vortical Flows. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47061-9_11
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DOI: https://doi.org/10.1007/978-3-662-47061-9_11
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-662-47061-9
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