### 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 B_{0} 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 |

State | Published - 1991 |

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### ASJC Scopus subject areas

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

### Cite this

*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.

Research output: Contribution to journal › Article

*Physics of Fluids B*, vol. 3, no. 3, pp. 715-720.

}

TY - JOUR

T1 - Upper bounds on fluctuational power absorption in a turbulent pinch

AU - Wang, Cai Y.

AU - Bhattacharjee, A.

AU - Hameiri, Eliezer

PY - 1991

Y1 - 1991

N2 - 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)].

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)].

UR - http://www.scopus.com/inward/record.url?scp=0000595156&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000595156&partnerID=8YFLogxK

M3 - Article

VL - 3

SP - 715

EP - 720

JO - Physics of Fluids B

JF - Physics of Fluids B

SN - 0899-8221

IS - 3

ER -