info:eu-repo/semantics/article
Modified Taylor vortices
Fecha
2017-12Registro en:
Gonzalez, Alejandro Guillermo; Weidman, Patrick; Modified Taylor vortices; American Physical Society; Physical Review Fluids; 2; 12; 12-2017; 1-13; 124701
2469-990X
CONICET Digital
CONICET
Autor
Gonzalez, Alejandro Guillermo
Weidman, Patrick
Resumen
The classic problem reported by Taylor [Philos. Mag. 46, 671 (1923)] on the viscous decay of a planar vortex grid is here extended in three ways. First we present solutions for the vortex grid modulated in the direction normal to the grid. Second, we find a solution for viscous decay of vortices on a disk and its modulation along the axial direction. Finally, we provide solutions for the viscous decay of vortices on a cylindrical surface and its modulation along the radial direction. The exponentially decaying vortices in these modulated vortex systems represent exact unsteady three-dimensional solutions of the Navier-Stokes equations.