American Society of Civil Engineers

Chaotic Advection in a Shear Layer

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

pp. 383-387

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Document type: Conference Proceeding Paper
Part of: Mechanics Computing in 1990’s and Beyond
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.

ASCE Subject Headings:
Navier-Stokes equations
Rivers and streams
Turbulent flow

Author Keywords:
Fluid Mechanics
Chaos Theory - Mixing
Advection - Shear Flows - Strange Attractors