Camassa-Holm type equations for axisymmetric Poiseuille pipe flows

Abstract : We present a study on the nonlinear dynamics of a disturbance to the laminar state in non-rotating axisymmetric Poiseuille pipe flows. The associated Navier-Stokes equations are reduced to a set of coupled generalized Camassa-Holm type equations. These support singular inviscid travelling waves with wedge-type singularities, the so called peakons, which bifurcate from smooth solitary waves as their celerity increase. In physical space they correspond to localized toroidal vortices or vortexons. The inviscid vortexon is similar to the nonlinear neutral structures found by Walton (2011) and it may be a precursor to puffs and slugs observed at transition, since most likely it is unstable to non-axisymmetric disturbances.
Liste complète des métadonnées

Cited literature [31 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00752999
Contributor : Denys Dutykh <>
Submitted on : Wednesday, March 20, 2013 - 6:44:08 AM
Last modification on : Thursday, January 11, 2018 - 6:12:26 AM
Document(s) archivé(s) le : Friday, June 21, 2013 - 4:12:41 AM

Files

FF_DD-IUTAM-2013-R1.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Francesco Fedele, Denys Dutykh. Camassa-Holm type equations for axisymmetric Poiseuille pipe flows. Procedia IUTAM, cElsevier, 2013, 9, pp.16-24. ⟨10.1016/j.piutam.2013.09.003⟩. ⟨hal-00752999v3⟩

Share

Metrics

Record views

409

Files downloads

107