@article{oai:oist.repo.nii.ac.jp:00001922,
 author = {Vilquin, Alexandre and Jagielka, Julie and Djambov, Simeon and Herouard, Hugo and Fisher, Patrick and Bruneau, Charles-Henri and Chakraborty, Pinaki and Gioia, Gustavo and Kellay, Hamid},
 issue = {5},
 journal = {Science Advances},
 month = {Jan},
 note = {The friction f is the property of wall-bounded flows that sets the pumping cost of a pipeline, the draining capacity of a river, and other variables of practical relevance. For highly turbulent rough-walled pipe flows, f depends solely on the roughness length scale r, and the f − r relation may be expressed by the Strickler empirical scaling f ∝ r1/3. Here, we show experimentally that for soap film flows that are the two-dimensional (2D) equivalent of highly turbulent rough-walled pipe flows, f ∝ r and the f − r relation is not the same in 2D as in 3D. Our findings are beyond the purview of the standard theory of friction but consistent with a competing theory in which f is linked to the turbulent spectrum via the spectral exponent α: In 3D, α = 5/3 and the theory yields f ∝ r1/3; in 2D, α = 3 and the theory yields f ∝ r.},
 title = {Asymptotic turbulent friction in 2D rough-walled flows},
 volume = {7},
 year = {2021}
}