Shock formation in a poloidally rotating tokamak plasma

Ker-Chung Shaing, R. D. Hazeltine, H. Sanuki

Research output: Contribution to journalArticle

52 Citations (Scopus)

Abstract

When the Mach number Mp of the poloidal rotation in a tokamak approaches unity, the poloidal variations of plasma density and potential appear to have the characteristics of a shock whose front lies on a plane (ribbon) of a fixed poloidal angle η0. The shock first appears, when 1 - Mp ≲ √∈ (∈ is the inverse aspect ratio), on the inside of the torus at a shock angle η0≥π if the plasma rotates counterclockwise poloidally. As Mp increases, η0 moves in the direction of the poloidal rotation. At M p = 1, η0 = 2π. When Mp - 1 ≲ √∈, the shock angle is at eta;0 ≲ π. The parallel viscosity associated with the shock is collisionality independent, in contrast to the conventional neoclassical viscosity. The viscosity reaches its maximum at Mp = 1, which is the barrier that must be overcome to have a poloidal supersonic flow. Strong up-down asymmetric components of poloidal variations of plasma density and potential develop at Mp ≃ 1. In the edge region, the convective poloidal momentum transport weakens the parallel viscosity and facilitates the L-H transition.

Original languageEnglish
Pages (from-to)404-412
Number of pages9
JournalPhysics of Fluids B
Volume4
Issue number2
DOIs
Publication statusPublished - 1992 Jan 1

Fingerprint

shock
Viscosity
viscosity
Plasmas
plasma potentials
Plasma density
plasma density
supersonic flow
Supersonic flow
shock fronts
Mach number
ribbons
aspect ratio
Aspect ratio
unity
Momentum
momentum

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

Cite this

Shaing, Ker-Chung ; Hazeltine, R. D. ; Sanuki, H. / Shock formation in a poloidally rotating tokamak plasma. In: Physics of Fluids B. 1992 ; Vol. 4, No. 2. pp. 404-412.
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Shock formation in a poloidally rotating tokamak plasma. / Shaing, Ker-Chung; Hazeltine, R. D.; Sanuki, H.

In: Physics of Fluids B, Vol. 4, No. 2, 01.01.1992, p. 404-412.

Research output: Contribution to journalArticle

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