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Energy dissipation in body-forced turbulence. (English) Zbl 1029.76025

From the summary: Bounds on the bulk rate of energy dissipation in body-force-driven steady-state turbulence are derived directly from incompressible Navier-Stokes equations. We consider flows in three spatial dimensions in the absence of boundaries, and derive rigorous a priori estimates for time-averaged energy dissipation rate per unit mass, \(\varepsilon\), without making any further assumptions on the flows or turbulent fluctuations.

MSC:

76F02 Fundamentals of turbulence
76D05 Navier-Stokes equations for incompressible viscous fluids
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