Turbulence as a nonequilibrium phase transition
| Autor: | O. V. Troshkin, V. G. Morozov, D. N. Zubarev |
|---|---|
| Rok vydání: | 1992 |
| Předmět: |
Turbulence
Magnetic Reynolds number Statistical and Nonlinear Physics Reynolds stress equation model Reynolds stress Mechanics Reynolds equation Physics::Fluid Dynamics Reynolds decomposition Reynolds operator Statistical physics Reynolds-averaged Navier–Stokes equations Mathematical Physics Mathematics |
| Zdroj: | Theoretical and Mathematical Physics. 92:896-908 |
| ISSN: | 1573-9333 0040-5779 |
| Popis: | The transition from laminar to turbulent flow is studied on the basis of an exact equation for the averaged velocity and an approximate nonlinear equation for the Reynolds stress τ. The stationary state can be determined from the condition of minimum of a functional that is analogous to the Landau functional in the theory of phase transitions. The Reynolds stress plays the role of a parameter. It is shown that a nontrivial solution for τ corresponding to a steady turbulent regime exists only for Reynolds numbersR that exceed a certain critical valueR cr. The results of a numerical calculation of the profile of the averaged velocity, the friction coefficient, and the Reynolds stress in a wide range of values ofR agree well with experimental data for channel flow. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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