New method for detecting singularities in experimental incompressible flows

• Published in: Nonlinearity Vol. 30; no. 6; pp. 2381 - 2402
• Main Authors: Kuzzay, Denis, Saw, Ewe-Wei, Martins, Fabio J W A, Faranda, Davide, Foucaut, Jean-Marc, Daviaud, François, Dubrulle, Bérengère
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.06.2017
• Subjects: Duchon-Robert; energy dissipation; Fluid mechanics; inertial dissipation; Mechanics; Navier-Stokes; Onsager's conjecture; Physics; singularity; turbulence

We introduce two new criteria based on the work of Duchon and Robert (2000 Nonlinearity 13 249) and Eyink (2006 Phys. Rev. E 74 066302), which allow for the local detection of Navier-Stokes singularities in experimental flows. We discuss the difference between non-dissipative or dissipative Euler qu...