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Intermittency in magnetohydrodynamic Taylor--Couette flow with the free-slip top and bottom walls

Y. Zhao1 - J. Tao2 - W. Hong1 - R. Hollerbach3

1 School of Energy and Power Engineering, Northeast Electric Power University, Jilin 132012, China
2 Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China
3 School of Mathematics, University of Leeds, Leeds LS2 9JT, UK

Turbulent Taylor-Couette flow with free-slip top and bottom walls under a purely azimuthal magnetic field is studied numerically by gradually increasing the Hartmann number. Different from the cases with periodic boundary conditions in the axial direction in our earlier work [1], irregular intermittency is found at moderate Hartmann numbers in our present work and the time-averaged azimuthal spectra of kinetic energy become higher and present a wave pattern at Ha = 68 and 72 compared to that at Ha = 60. Time series of kinetic energy and the γ-ratio of Ekθ=0 to the total kinetic energy of all the modes at Ha = 72.5 simultaneously demonstrate an abrupt sharp fall. At the same time, Joule dissipation has an abrupt sharp rise. At higher Hartmann numbers, the flow finally becomes purely two-dimensional and axisymmetric. Figs 6, Refs 28.

Magnetohydrodynamics 56, No. 4, 393-402, 2020 [PDF, 1.45 Mb]

Copyright: Institute of Physics, University of Latvia
Electronic edition ISSN 1574-0579
Printed edition ISSN 0024-998X