Scaling Laws for Trace Impurity Confinement: A Variational Approach,

Abstract

A variational approach is outlined for the deduction of impurity confinement scaling laws. Given the forms of the diffusive and convective components to the impurity particle flux, this document presents a variational principle for the impurity confinement time in terms of the diffusion time-scale and the convection parameter, which is a non-dimensional measure of the size of the convective flux relative to the diffusion flux. These results are very general and apply irrespective of whether the transport fluxes are of theoretical or empirical origin. The impurity confinement time scales exponentially with the convection parameter in cases of practical interest. Keywords: Tokamak plasmas; Scaling functions. (kr)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1988
Accession Number
ADA195938

Entities

People

  • A. Thyagaraja
  • F. A. Haas

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Boltzmann Equation
  • Boundaries
  • Boundary Value Problems
  • Computational Science
  • Convection
  • Diffusion
  • Eigenvalues
  • Equations
  • Fluid Mechanics
  • Impurities
  • Magnetic Flux
  • Mechanics
  • Physics
  • Scaling Laws
  • Transport Ships
  • Variational Principles

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics
  • Theoretical Analysis.