On the models of the homothetic self-similar Kármán flows

Nathalie M. M. Cousin-Rittemard (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

Karman's flows on a single and between two infinite coaxial rotating disks are famous examples of self-similar solutions of the Navier-Stokes equations. Considering the shrouded two disk systems, numerical investigations of the steady axisymmetric solutions have shown the existence of a so called pseudo-similar region where the velocity profiles are homothetic. In the present work, the corresponding three parameter model is derived.

Mots clés: rotating flows; Karman flows; self-similar solutions

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Nathalie M. M. Cousin-Rittemard. On the models of the homothetic self-similar Kármán flows. Revue roumaine de mathématiques pures et appliquées, 2011, 56 (1), pp.13-19. ⟨hal-00832797⟩