English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The linear stability problem of MHD Taylor-Couette flows with toroidal magnetic fields and with resting outer cylinder is considered for very small magnetic Prandtl numbers. Except for radial profiles of B(R) ∝ 1/R (the current-free solution) the magnetic field destabilizes the flow. In particular, the most uniform field with Bin = Bout has been considered. For weak fields the TC-flow is stabilized until for growing magnetic amplitude disturbances with m = 1 a dramatic destabilization of the flow starts. For high enough Hartmann numbers the toroidal field is always (pinch-)unstable independent of any details of the flow. The electrical currents which are necessary for experiments in the laboratory must have amplitudes of a few kA for liquid sodium. The wider the gap of the container the weaker currents are necessary so that for wide-gap flows even experiments with gallium (Pm ≊ 10−6) are possible. There are many fundamental applications of the Tayler (or pinch-type) instability in astrophysics.

Pinch-type instability experiments in magnetic Taylor-Couette flows