Chaotic Advection in a Shear Layer

by R. Chevray, Columbia Univ, United States,
K. Ogawara, Columbia Univ, United States,
S. Iida, Columbia Univ, United States,

Abstract: The developing (in time) inviscid shear layer, although not yet in its turbulent regime, displays all the characteristics of chaotic advection. The corresponding Lyapunov exponent is strictly positive. Further simulation for the dissipative case (by a global description by stream function) shows that the Navier Stokes equations lead to chaos. The role of viscosity is put in evidence by a parameter r characterizing the various dynamical regimes. Finally, for large values of r greater than .5314) a complicated attractor appears which is either quasiperiodic or strange. Its form is in very good agreement with that obtained experimentally in the developing (in space) two dimensional shear layer.

Subject Headings: Shear flow | Advection | Navier-Stokes equations | Fluid flow | Two-dimensional flow | Viscosity | Parameters (statistics) | Agreements and treaties

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