The existence of a “−1” power-law scaling at low wavenumbers in the longitudinal velocity spectrum of wall-bounded turbulence was explained by multiple mechanisms; however, experimental support has not been uniform across laboratory studies. This letter shows that Heisenberg's eddy viscosity approach can provide a theoretical framework that bridges these multiple mechanisms and explains the elusiveness of the “−1” power law in some experiments. Novel theoretical outcomes are conjectured about the role of intermittency and very-large scale motions in modifying the k−1 scaling.
|Number of pages||8|
|Journal||Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|Publication status||Published - 13 Dec 2012|
Katul, G. G., Porporato, A., & Nikora, V. (2012). Existence of k−1 power-law scaling in the equilibrium regions of wall-bounded turbulence explained by Heisenberg's eddy viscosity. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 86(6-2), . https://doi.org/10.1103/PhysRevE.86.066311