Experimental investigation of the return flow instability in magnetized spherical Couette flows

作者: J. Ogbonna , F. Garcia , T. Gundrum , M. Seilmayer , F. Stefani

DOI: 10.1063/5.0029570

关键词: Flow (mathematics)InstabilityBifurcation diagramPhysicsReynolds numberHartmann numberRotationDynamical systemMechanicsWavenumber

摘要: We conduct magnetized spherical Couette (MSC) flow experiments in the return instability regime with GaInSn as working fluid, ratio of inner to outer sphere radii ri/ro = 0.5, Reynolds number Re 1000, and Hartmann Ha ∈ [27.5, 40]. Rotating waves different azimuthal wavenumbers m {2, 3, 4} manifest certain ranges experiments, depending on whether values were fixed or varied from initial values. These observations demonstrate multistability rotating waves, which we attribute dynamical system representing state MSC tending move along same solution branch bifurcation diagram when is varied. In both varying Ha, rotation frequencies are consistent results nonlinear stability analysis. A brief numerical investigation shows that differences develop also depend modes initially excited.

参考文章(43)
Frank Stefani, Thomas Gundrum, Gunter Gerbeth, Günther Rüdiger, Manfred Schultz, Jacek Szklarski, Rainer Hollerbach, Experimental evidence for magnetorotational instability in a Taylor-Couette flow under the influence of a helical magnetic field. Physical Review Letters. ,vol. 97, pp. 184502- ,(2006) , 10.1103/PHYSREVLETT.97.184502
Christophe Gissinger, Hantao Ji, Jeremy Goodman, Instabilities in magnetized spherical Couette flow. Physical Review E. ,vol. 84, pp. 026308- 026308 ,(2011) , 10.1103/PHYSREVE.84.026308
R. Stieglitz, U. Müller, Experimental demonstration of a homogeneous two-scale dynamo Physics of Fluids. ,vol. 13, pp. 561- 564 ,(2001) , 10.1063/1.1331315
Simon Cabanes, Nathanaël Schaeffer, Henri-Claude Nataf, Magnetic induction and diffusion mechanisms in a liquid sodium spherical Couette experiment. Physical Review E. ,vol. 90, pp. 043018- ,(2014) , 10.1103/PHYSREVE.90.043018
Agris Gailitis, Olgerts Lielausis, Sergej Dement'ev, Ernests Platacis, Arnis Cifersons, Gunter Gerbeth, Thomas Gundrum, Frank Stefani, Michael Christen, Heiko Hänel, Gotthard Will, Detection of a Flow Induced Magnetic Field Eigenmode in the Riga Dynamo Facility Physical Review Letters. ,vol. 84, pp. 4365- 4368 ,(2000) , 10.1103/PHYSREVLETT.84.4365
F. Garcia, M. Net, B. García-Archilla, J. Sánchez, A comparison of high-order time integrators for thermal convection in rotating spherical shells Journal of Computational Physics. ,vol. 229, pp. 7997- 8010 ,(2010) , 10.1016/J.JCP.2010.07.004
Brendan B Plapp, Eberhard Bodenschatz, Core dynamics of multi-armed spirals in Rayleigh-Bénard convection Physica Scripta. ,vol. 67, pp. 111- 116 ,(1996) , 10.1088/0031-8949/1996/T67/022
M. Golubitsky, V. G. LeBlanc, I. Melbourne, Hopf Bifurcation from Rotating Waves and Patterns in Physical Space Journal of Nonlinear Science. ,vol. 10, pp. 69- 101 ,(2000) , 10.1007/S003329910004
D. Brito, T. Alboussière, P. Cardin, N. Gagnière, D. Jault, P. La Rizza, J.-P. Masson, H.-C. Nataf, D. Schmitt, Zonal shear and super-rotation in a magnetized spherical Couette flow experiment Physical Review E. ,vol. 83, pp. 066310- ,(2011) , 10.1103/PHYSREVE.83.066310