title: Evolution of turbulence in an oscillatory flow in a smooth-walled channel: a viscous secondary instability mechanism.
abstract: In this paper, a comparison is made of the evolution of turbulence in oscillatory channel flows with a zero-mean velocity in two and three dimensions, using the numerical technique of the lattice Boltzmann method. The results confirm a primary two-dimensional instability. Evidence is shown of a secondary, viscous three-dimensional instability mechanism acting in the oscillatory boundary layer, which is consistent with experimental observations.
authors.affiliation: School of Physics, The University of Edinburgh, Edinburgh EH9 3JZ, Scotland, United Kingdom.
authors.forename: J A
authors.initials: JA
authors.lastname: Cosgrove
authors.forename: J M
authors.initials: JM
authors.lastname: Buick
authors.forename: S J
authors.initials: SJ
authors.lastname: Tonge