Dynamical system approach and attracting manifolds in K-epsilon model of turbulent jet

Article

Strunin, D. V.. 2008. "Dynamical system approach and attracting manifolds in K-epsilon model of turbulent jet." Bulletin of the Belgian Mathematical Society: Simon Stevin. 15 (5), pp. 935-946.
Article Title

Dynamical system approach and attracting manifolds in K-epsilon model of turbulent jet

ERA Journal ID74
Article CategoryArticle
Authors
AuthorStrunin, D. V.
Journal TitleBulletin of the Belgian Mathematical Society: Simon Stevin
Journal Citation15 (5), pp. 935-946
Number of Pages12
Year2008
Place of PublicationBrussels, Belgium
ISSN0037-5454
1370-1444
Web Address (URL)http://projecteuclid.org/euclid.bbms/1228486417
Abstract

We consider the K-epsilon model describing an expansion of a free turbulent jet. Due to the nonlinear nature of turbulent diffusion the turbulent area has a sharp boundary. We seek solutions for the energy, dissipation and momentum as power series in spatial coordinate across the jet with time-dependent coefficients. The coefficients obey a dynamical system with clearly identifiable slow and fast variables. The system is not in a standard form, which excludes rigorous methods of analysis such as centre manifold methods. We put forward a hypothesis that there exists an attracting invariant manifold for trajectories based on a few slow variables. The hypothesis is supported numerically.

Keywordsturbulent jet; k-epsilon model; dynamical system
ANZSRC Field of Research 2020401213. Turbulent flows
401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics)
490105. Dynamical systems in applications
Public Notes

This is the publisher reprint version of the paper. Author retains copyright. Deposited with blanket permission of the publisher.

Byline AffiliationsDepartment of Mathematics and Computing
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