Upper bounds on fluctuational power absorption in a turbulent pinch

Cai Yi Wang; A. Bhattacharjee; Eliezer Hameiri

doi:10.1063/1.859998

Upper bounds on fluctuational power absorption in a turbulent pinch

Cai Yi Wang, A. Bhattacharjee, Eliezer Hameiri

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	715-720
Number of pages	6
Journal	Physics of Fluids B
Volume	3
Issue number	3
DOIs	https://doi.org/10.1063/1.859998
State	Published - 1991

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
General Physics and Astronomy
Fluid Flow and Transfer Processes

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10.1063/1.859998

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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)].",

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AB - 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)].

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Upper bounds on fluctuational power absorption in a turbulent pinch

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