We extend the Doering-Constantin approach to upper bounds on energy dissipation in turbulent flows by introducing a balance parameter into the variational principle. This parameter governs the relative weight of different contributions to the dissipation rate. Its optimization leads to improved boun
Upper bounds on energy dissipation in Couette–Ekman flow
✍ Scribed by Norbert P. Hoffmann; Nikolay K. Vitanov
- Book ID
- 104337372
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 196 KB
- Volume
- 255
- Category
- Article
- ISSN
- 0375-9601
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✦ Synopsis
We obtain upper bounds on energy dissipation in Couette-Ekman flow by means of the Doering-Constantin method of the optimum theory of turbulence. We use one-component and two-component background velocity fields and investigate the application areas for the background fields with respect to the Reynolds number Re and inverse Ekman number V q .
📜 SIMILAR VOLUMES
This report gives an upper bound for the time average of the energy dissipation rate, including energy dissipation due to viscous dissipation and turbulent diffusion in a model for the motion of large eddies in a turbulent flow. The bound is only a function of the reference velocity U, the domain di