TY - JOUR

T1 - On the explicit symmetry breaking in the Taylor-Coutte problem

AU - Armbruster, Hans

AU - Mahalov, Alex

N1 - Funding Information:
D.A. wishest o acknowledgteh eh ospitalityo f the MathematicaSlc iencesIn stitutea t Cornell University wheret his work was startedT. his researchw as also supportedb y the Airforce Office of Scientific Researchth roughit s URI grantt o the Mathematics Departmenatt ASU and throughN SF grantD MS-9017174.T he researcho f A.M. was partiallys up-portedb y the National ScienceF oundationD, MS 89-19074a nd CTS 89-0643.

PY - 1992/7/20

Y1 - 1992/7/20

N2 - We consider an infinitely long Taylor-Couette problem which is translationally and reflectionally symmetric along the cylinders. We investigate the bifurcation to Taylor vortices when the reflection symmetry in the axial direction is broken in two ways: (i) by applying a constant pressure gradient in the axial direction, (ii) by sliding cylinders relative to each other. We calculate the effect of these symmetry breaking perturbations and find in both cases a slow drifting of the Taylor vortices along the axial direction. We discuss a total symmetry breaking of the translational and reflectional symmetry along the axial direction. This forces the system either to choose a state from a circle of states of the unpertubed system or into an inhomogeneous drifting state.

AB - We consider an infinitely long Taylor-Couette problem which is translationally and reflectionally symmetric along the cylinders. We investigate the bifurcation to Taylor vortices when the reflection symmetry in the axial direction is broken in two ways: (i) by applying a constant pressure gradient in the axial direction, (ii) by sliding cylinders relative to each other. We calculate the effect of these symmetry breaking perturbations and find in both cases a slow drifting of the Taylor vortices along the axial direction. We discuss a total symmetry breaking of the translational and reflectional symmetry along the axial direction. This forces the system either to choose a state from a circle of states of the unpertubed system or into an inhomogeneous drifting state.

UR - http://www.scopus.com/inward/record.url?scp=38249009730&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38249009730&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(92)90200-6

DO - 10.1016/0375-9601(92)90200-6

M3 - Article

AN - SCOPUS:38249009730

SN - 0375-9601

VL - 167

SP - 251

EP - 254

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3

ER -