A neoclassical calculation of toroidal rotation profiles and comparison with DIII-D measurements

Stacey, Weston M.; Johnson, Robert W.; Mandrekas, J.

doi:10.1063/1.2212391

Cited by 37 publications

(72 citation statements)

References 49 publications

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“…19, and evaluated using experimental data to obtain theoretical values for the angular momentum transfer frequencies. For this purpose, it is useful to rewrite these equations in terms of angular momentum transport rates Rn j m j xj j associated with process x.…”

Section: Toroidal Rotationmentioning

confidence: 99%

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Interpretation of edge pedestal rotation measurements in DIII-D

Stacey

Groebner

2008

Physics of Plasmas

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The effect of rotation and viscous heating on the interpretation of experimental heat diffusivities in the edge pedestal Phys.A novel methodology for inferring experimental toroidal angular momentum transfer rates from measured toroidal rotation velocities and other measured quantities has been developed and applied to analyze rotation measurements in the DIII-D ͓J. Luxon, Nucl. Fusion 42, 6149 ͑2002͔͒ edge pedestal. The experimentally inferred values have been compared with predictions based on atomic physics processes and on neoclassical toroidal viscosity. The poloidal rotation velocities have been calculated from poloidal momentum balance using neoclassical parallel viscosity and a novel retention of all terms in the poloidal momentum balance, and compared with measured values in the DIII-D edge pedestal.

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Section: Toroidal Rotationmentioning

confidence: 99%

“…It is shown elsewhere 19 that the flux surface average neoclassical viscous toroidal torque can be written in the form…”

Section: Toroidal Rotationmentioning

confidence: 99%

Interpretation of edge pedestal rotation measurements in DIII-D

Stacey

Groebner

2008

Physics of Plasmas

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“…In order to investigate this, it will be necessary to extend the solution procedure [12][13][14] for the Fourier moments of the poloidal momentum balance equation to be based on the Miller equilibrium model, and that will be the subject of a future paper. ͑30͒ and ͑31͒ reduce identically to the first of Eqs.…”

Section: ͑28͒mentioning

confidence: 99%

Applications of the Miller equilibrium to extend tokamak computational models

Stacey

2008

Physics of Plasmas

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An analytical model for the equilibrium flux surface geometry, widely known as the Miller equilibrium model, has been exploited to improve a variety of simplified tokamak computation models that incorporate an approximate flux surface geometry. Also discussed are improved models for an effective unelongated toroidal plasma representation of elongated flux surfaces; mapping temperature ͑and density͒ gradients measured at one poloidal location to other poloidal locations and to an average gradient over the flux surface; interpreting experimental heat diffusivities from local temperature gradients and average conductive heat fluxes; calculating the poloidal distribution of radial conductive heat fluxes; and evaluating the gyroviscous angular momentum transport rate.

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“…Interestingly, the final terms in (12) are of opposite sign, hence would tend to cancel, those of the Stacey-Sigmar model. The derivation for the poloidal shear viscosity [2,4] proceeds similarly with the same caveats and pitfalls.…”

Section: Stacey-sigmar Model For Gyroviscous Torquementioning

confidence: 97%

Reevaluation of the Braginskii viscous force for toroidal plasma

Johnson¹

2011

J. Plasma Phys.

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Abstract. The model by Braginskii for the viscous stress tensor is used to determine the shear and gyroviscous forces acting within a toroidally confined plasma.Comparison is made to a previous evaluation which contains an inconsistent treatment of the radial derivative and neglects the effect of the pitch angle. Parallel viscosity contributes a radial shear viscous force which may develop for sufficient vertical asymmetry to the ion velocity profile. An evaluation is performed of this radial viscous force for a tokamak near equilibrium which indicates qualitative agreement between theory and measurement for impure plasma discharges with strong toroidal flow.

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A neoclassical calculation of toroidal rotation profiles and comparison with DIII-D measurements

Cited by 37 publications

References 49 publications

Interpretation of edge pedestal rotation measurements in DIII-D

Interpretation of edge pedestal rotation measurements in DIII-D

Applications of the Miller equilibrium to extend tokamak computational models

Reevaluation of the Braginskii viscous force for toroidal plasma

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