@article{oai:oist.repo.nii.ac.jp:00000333,
 author = {Gioia, Gustavo and Chakraborty, Pinaki},
 issue = {2204},
 journal = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science},
 month = {Aug},
 note = {We show that the classic laws of the mean-velocity profiles (MVPs) of wall-bounded turbulent flows—the ‘law of the wall,’ the ‘defect law’ and the ‘log law’—can be predicated on a sufficient condition with no manifest ties to the MVPs, namely that viscosity and finite turbulent domains have a depressive effect on the spectrum of turbulent energy. We also show that this sufficient condition is consistent with empirical data on the spectrum and may be deemed a general property of the energetics of wall turbulence. Our findings shed new light on the physical origin of the classic laws and their immediate offshoot, Prandtl’s theory of turbulent friction.},
 title = {Spectral derivation of the classic laws of wall-bounded turbulent flows},
 volume = {473},
 year = {2017}
}