Upper bounds on fluctuational power absorption in a turbulent pinch

Cai Y. Wang, A. Bhattacharjee, Eliezer Hameiri

Research output: Contribution to journalArticle

Abstract

An upper bound is given for the fluctuational power absorption in a steady, driven reversed-field pinch. The functional χ, which is the ratio of the power dissipated by fluctuations to the mean Ohmic power, is expressed in terms of the mean magnetic field B0 by using energy conservation. Maxima of χ are obtained from a variational principle which includes the helicity and toroidal flux constraints. The largest upper bound is found with the natural boundary condition derived from the variational principle itself. It is shown that the theoretical bound is not inconsistent with observations from the Los Alamos ZT-40M experiment [Phys. Fluids 27, 1671 (1984)].

Original languageEnglish (US)
Pages (from-to)715-720
Number of pages6
JournalPhysics of Fluids B
Volume3
Issue number3
StatePublished - 1991

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variational principles
Energy conservation
Boundary conditions
Magnetic fields
Fluxes
Fluids
energy conservation
Experiments
boundary conditions
fluids
magnetic fields

ASJC Scopus subject areas

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

Cite this

Wang, C. Y., Bhattacharjee, A., & Hameiri, E. (1991). Upper bounds on fluctuational power absorption in a turbulent pinch. Physics of Fluids B, 3(3), 715-720.

Upper bounds on fluctuational power absorption in a turbulent pinch. / Wang, Cai Y.; Bhattacharjee, A.; Hameiri, Eliezer.

In: Physics of Fluids B, Vol. 3, No. 3, 1991, p. 715-720.

Research output: Contribution to journalArticle

Wang, CY, Bhattacharjee, A & Hameiri, E 1991, 'Upper bounds on fluctuational power absorption in a turbulent pinch', Physics of Fluids B, vol. 3, no. 3, pp. 715-720.
Wang CY, Bhattacharjee A, Hameiri E. Upper bounds on fluctuational power absorption in a turbulent pinch. Physics of Fluids B. 1991;3(3):715-720.
Wang, Cai Y. ; Bhattacharjee, A. ; Hameiri, Eliezer. / Upper bounds on fluctuational power absorption in a turbulent pinch. In: Physics of Fluids B. 1991 ; Vol. 3, No. 3. pp. 715-720.
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