Abstract
In this paper, we review recent progress on several problems of transition and turbulence. First, we explore the role of secondary instabilities in transition to turbulence in both wall bounded and free shear flows. It is shown how the competition between secondary instabilities and classical inviscid inflectional instabilities is important in determining the evolution of free shear flows. An outline of a general theory of inviscid instability is given. Then, we explore recent ideas on the force-free nature of coherent flow structures in turbulence. The role of viscosity in generating small-scale features of turbulence is discussed for both the Taylor-Green vortex and for two-dimensional turbulence. Finally, we survey recent ideas on the application of renormalization group methods to turbulence transport models. These methods yield fundamental relationships between various types of turbulent flow quantities and should be useful for the development of transport models in complex geometries with complicated physics, like chemical reactions and buoyant heat transfer.
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© 1986 Springer-Verlag Berlin, Heidelberg
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Orszag, S.A., Pelz, R.B., Bayly, B.J. (1986). Secondary Instabilities, Coherent Structures and Turbulence. In: Kuwahara, K., Mendez, R., Orszag, S.A. (eds) Supercomputers and Fluid Dynamics. Lecture Notes in Engineering, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82908-6_1
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DOI: https://doi.org/10.1007/978-3-642-82908-6_1
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