Ordered regions within a nonlinear time series solution of a Lorenz form of the Townsend equations for a boundary-layer flow
type: Item
instance of: scholarly article
title: Ordered regions within a nonlinear time series solution of a Lorenz form of the Townsend equations for a boundary-layer flow
zbMATH Open document ID: 1298.76069
published in: Entropy
publication date: 2014-09-19T00:00:00Z
review text: Summary: A modified form of the Townsend equations for the fluctuating velocity wave vectors is applied to a laminar three-dimensional boundary-layer flow. These equations are cast into a Lorenz-type system of equations. The initial system of Lorenz equations yields the generation of masked output signals containing internal ordered regions. The self-synchronizing property of the Lorenz system of equations is then exploited by considering the initial Lorenz system as a transmitter system providing chaotic masked information signals to a series of identical Lorenz receiver systems. The output signal from each successive receiver system indicates the growing recovery of ordered regions in the chaotic output signal. Finally, the three-dimensional graph of the output velocity wave vector signal from the fourth receiver system and the spectral entropy rates for the output axial velocity wave vector indicate the presence of ordered regions which are characterized as axially-directed spiral vortices.
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76L05
zbMATH DE Number: 6346055
zbMATH Keywords: normal shock waves
zbMATH Keywords: boundary-layer flows
zbMATH Keywords: internal flow instabilities
zbMATH Keywords: spectral entropy rates
zbMATH Keywords: ordered regions
zbMATH Keywords: synchronized chaotic flow
author: La Var King Isaacson
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/e15010053
OpenAlex ID: W2061743220
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DOI: 10.3390/E15010053
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description: scientific article; zbMATH DE number 6346055