Dynamical system approach and attracting manifolds in \(k\)-\(\varepsilon\) model of turbulent jet (Q2519148)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamical system approach and attracting manifolds in \(k\)-\(\varepsilon\) model of turbulent jet |
scientific article |
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Dynamical system approach and attracting manifolds in \(k\)-\(\varepsilon\) model of turbulent jet (English)
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22 January 2009
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The \(k\)-\(\varepsilon\) model of expanding turbulence shaped as a plane jet is analysed. Profiles of energy, dissipation rate and velocity across the jet are sought in the form of power series. The series coefficients satisfy a nonlinear dynamical system with a few slow variables. Based on these variables, an attractor in the form of a system of algebraic equations linking fast and slow variables is found. The approach allows to naturally define the position of the front of turbulence.
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nonlinear diffusion
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dynamical system
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attractor
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