Sherwood 2015

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approvedstacey__sherwood_2015.pdf2015-04-02 07:05:12Weston Stacey

A Flow Stress-Tensor Formulation of Neoclassical Toroidal Viscosity

Author: Weston M Stacey
Requested Type: Poster Only
Submitted: 2015-01-15 07:48:46

Co-authors: C. Bae

Contact Info:
Georgia Tech
Georgia Tech, MS-0405
Atlanta, Georgia   30332

Abstract Text:
Braginskii’s flow stress-tensor formulation of plasma viscosity[1], as extended first to low collisionality plasmas in axisymmetric circular toroidal flux surface geometry[2,3] and then recently to elongated axisymmetric toroidal flux surface geometry[4] ,has now been again extended to non-axisymmetric toroidal flux surface geometry[5]. A salient feature of the axisymmetric geometry formulations[1-4] is the identical vanishing of the leading order parallel viscosity terms in the flux-surface averaged toroidal angular momentum damping term, leaving the next order gyroviscous contributions as the leading terms in the neoclassical toroidal momentum damping formalism. However, the leading order parallel viscosity terms do not vanish in the flux surface averaged toroidal angular momentum damping term when the toroidal axisymmetries due to 3D magnetic field structure are taken into account[5].
The formalism of Ref. 5 provides a means to systematically evaluate the “neoclassical toroidal viscosity” toroidal angular momentum damping produced by various 3D magnetic field configurations arising from field errors, MHD instabilities, etc. (e.g. Refs 6-8). We have recently initiated such an investigation and will present our initial results.
We will also discuss new results on the effect of non-axisymmetric 3D field effects on poloidal rotation.
1 S. I. Braginskii, Rev. Plasma Phys., Vol. I, p205 (Consult. Bureau 1965). 2 W. M. Stacey, D. J. Sigmar, Phys. Fluids 28, 2800 (1985). 3 W. M. Stacey, A. W. Bailey, D. J. Sigmar, K. C. Shaing, Nucl. Fusion 25, 463 (1985). 4 C. Bae, W. M. Stacey, W. M. Solomon, Nucl. Fusion 53, 043011 (2013). 5 W. M. Stacey, Phys. Plasmas 21, 092517 (2014). 6 K. C. Shaing, S. A. Sabbagh, M. S. Chu, Nucl. Fusion 50, 025022 (2010). 7 J-K. Park, Phys. Plasmas 18, 110702 (2011). 8 Z. Wang, J-K. Park, et al., Phys. Plasmas 21, 042502 (2014).


March 16-18, 2015
The Courant Institute, New York University