Dissipation in Turbulent Flows
Abstract
This article reviews evidence concerning the cornerstone dissipation scaling of turbulence theory: [Formula: see text], with Cɛ=const., ɛ the dissipation rate of turbulent kinetic energy [Formula: see text], and [Formula: see text] an integral length scale characterizing the energy-containing turbulent eddies. This scaling is intimately linked to the Richardson-Kolmogorov equilibrium cascade. Accumulating evidence shows that a significant nonequilibrium region exists in various turbulent flows in which the energy spectrum has Kolmogorov's -5/3 wave-number scaling over a wide wave-number range, yet Cɛ∼RemI/RenL, with m≈1≈n, ReI a global/inlet Reynolds number, and ReL a local turbulence Reynolds number.
- Publication:
-
Annual Review of Fluid Mechanics
- Pub Date:
- January 2015
- DOI:
- 10.1146/annurev-fluid-010814-014637
- Bibcode:
- 2015AnRFM..47...95V