Hollerbach, R, Sibanda, N and Kim, E (2017) Absolute versus convective helical magnetorotational instabilities in Taylor-Couette flows. Fluid Dynamics Research, 49 (4). ISSN 0169-5983
Abstract
We study magnetic Taylor–Couette flow in a system having nondimensional radii r i = 1 and r o = 2, and periodic in the axial direction with wavelengths $h\geqslant 100$. The rotation ratio of the inner and outer cylinders is adjusted to be slightly in the Rayleigh-stable regime, where magnetic fields are required to destabilize the flow, in this case triggering the axisymmetric helical magnetorotational instability (HMRI). Two choices of imposed magnetic field are considered, both having the same azimuthal component ${B}_{\phi }={r}^{-1}$, but differing axial components. The first choice has B z = 0.1, and yields the familiar HMRI, consisting of unidirectionally traveling waves. The second choice has ${B}_{z}\approx 0.1\sin (2\pi z/h)$, and yields HMRI waves that travel in opposite directions depending on the sign of B z . The first configuration corresponds to a convective instability, the second to an absolute instability. The two variants behave very similarly regarding both linear onset as well as nonlinear equilibration.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | (c) 2017, IOP Publishing. This is an author produced version of a paper published in Fluid Dynamics Research. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | instabilities, pattern formation, magnetohydrodynamics, Taylor-Couette flows |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 24 Apr 2017 11:01 |
Last Modified: | 21 Apr 2018 00:38 |
Status: | Published |
Publisher: | IOP Publishing |
Identification Number: | 10.1088/1873-7005/aa6e61 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:115340 |