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
Time averaged energy dissipation rate for shear driven flows in Rn
โ Scribed by Xiaoming Wang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 378 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0167-2789
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โฆ Synopsis
We drive an upper bound of the time averaged energy dissipation rate for boundary driven flows directly from the Navier-Stokes equations in R n. The upper bound is independent of the kinematic viscosity in accordance with Kolomogorov's scaling result.
๐ SIMILAR VOLUMES
A two-dimensional numerical model has been developed for studying flows in enclosures having a large length-to-depth ratio. The model solves the two-dimensional Navier-Stokes and energy equations subject to hydrostatic, Boussinesq, and rigid-lid assumptions. Turbulent momentum and heat diffusion ar
This paper discusses the incompressible non-Newtonian fluid with rapidly oscillating external forces g ฮต (x, t) = g(x, t, t/ฮต) possessing the average g 0 (x, t) as ฮต โ 0 + , where 0 < ฮต ฮต 0 < 1. Firstly, with assumptions (A 1 )-(A 5 ) on the functions g(x, t, ) and g 0 (x, t), we prove that the Haus