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Toroidal field instability and eddy viscosity in Taylor-Couette flows

✍ Scribed by M. Gellert; G. Rüdiger

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
137 KB
Volume
329
Category
Article
ISSN
0004-6337

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✦ Synopsis

Abstract

Toroidal magnetic fields subject to the Tayler instability can transport angular momentum. We show that the Maxwell and Reynolds stress of the nonaxisymmetric field pattern depend linearly on the shear in the cylindrical gap geometry. Resulting angular momentum transport also scales linear with shear. It is directed outwards for astrophysical relevant flows and directed inwards for superrotating flows with dΩ/d__R__ > 0. We define an eddy viscosity based on the linear relation between shear and angular momentum transport and show that its maximum for given Prandtl and Hartmann number depends linear on the magnetic Reynolds number Rm. For Rm ≃ 1000 the eddy viscosity is of the size of 30 in units of the microscopic value. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Tayler instability of toroidal magnetic
Tayler instability of toroidal magnetic fields in MHD Taylor-Couette flows
✍ G. Rüdiger; M. Schultz 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 184 KB 👁 1 views

## Abstract The nonaxisymmetric Tayler instability (TI) of toroidal magnetic fields due to axial electric currents is studied for conducting incompressible fluids between two infinitely long corotating cylinders. For given Reynolds number of rotation the magnetic Prandtl number Pm of the liquid con