PMID: 15244934Jul 13, 2004Paper

Spiral vortices and Taylor vortices in the annulus between rotating cylinders and the effect of an axial flow

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Ch HoffmannA Pinter

Abstract

We present numerical simulations of vortices that appear via primary bifurcations out of the unstructured circular Couette flow in the Taylor-Couette system with counter rotating as well as with corotating cylinders. The full, time dependent Navier Stokes equations are solved with a combination of a finite difference and a Galerkin method for a fixed axial periodicity length of the vortex patterns and for a finite system of aspect ratio 12 with rigid nonrotating ends in a setup with radius ratio eta=0.5. Differences in structure, dynamics, symmetry properties, bifurcation, and stability behavior between spiral vortices with azimuthal wave numbers M=+/-1 and M=0 Taylor vortices are elucidated and compared in quantitative detail. Simulations in axially periodic systems and in finite systems with stationary rigid ends are compared with experimental spiral data. In a second part of the paper we determine how the above listed properties of the M=-1, 0, and 1 vortex structures are changed by an externally imposed axial through flow with Reynolds numbers in the range -40< or =Re< or =40. Among other things we investigate when left handed or right handed spirals or toroidally closed vortices are preferred.

References

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Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A PinterCh Hoffmann
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Szprynger, M Lücke

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Citations

Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J AbshagenG Pfister
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M HeiseCh Hoffmann
Mar 9, 2013·The European Physical Journal. E, Soft Matter·Nizar AbchaInnocent Mutabazi
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S AltmeyerM Lücke
Oct 30, 2019·Scientific Reports·Sebastian Altmeyer, Younghae Do
Sep 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A PinterCh Hoffmann
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ch HoffmannA Pinter
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ch HoffmannM Lücke
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A PinterCh Hoffmann
Sep 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A PinterCh Hoffmann
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S AltmeyerG Pfister

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