Dynamical system approach and attracting manifolds in K-epsilon model of turbulent jet
Article
Article Title | Dynamical system approach and attracting manifolds in K-epsilon model of turbulent jet |
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ERA Journal ID | 74 |
Article Category | Article |
Authors | |
Author | Strunin, D. V. |
Journal Title | Bulletin of the Belgian Mathematical Society: Simon Stevin |
Journal Citation | 15 (5), pp. 935-946 |
Number of Pages | 12 |
Year | 2008 |
Place of Publication | Brussels, Belgium |
ISSN | 0037-5454 |
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. |
Keywords | turbulent jet; k-epsilon model; dynamical system |
ANZSRC Field of Research 2020 | 401213. 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 Affiliations | Department of Mathematics and Computing |
https://research.usq.edu.au/item/9yz9w/dynamical-system-approach-and-attracting-manifolds-in-k-epsilon-model-of-turbulent-jet
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