Optimum theory for the energy dissipation in a turbulent pinch

Cai Yi Wang, A. Bhattacharjee

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19 Scopus citations


Lower bounds are computed for the total energy dissipation in a steady, driven reversed-field pinch. A variational principle is given in which energy and helicity balance, conservation of toroidal magnetic flux, and the ensemble-averaged Ohm's law are imposed as constraints. The lowest bounds are found with the natural boundary condition derived from the variational principle. The effect of the space variation of the resistivity is also included. It is shown that the theoretical results are consistent with observations from the Los Alamos ZT-40M experiment [Phys. Fluids 27, 1671 (1984)].

Original languageEnglish (US)
Pages (from-to)3462-3476
Number of pages15
JournalPhysics of Fluids B
Issue number12
StatePublished - 1991
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


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