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Dimensionless similarity invariants and criteria of cylindrical Z-pinch compression regimes in a gas

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Abstract

A dimensionless equation containing two dimensionless complexes Z and d 0 was derived from the consideration of the energy balance at the early stage of cylindrical Z-pinch development in a gas. The requirement of the equation invariance under the transformation of stretching (compression) of coordinates and time imply that the Ξ and d 0 complexes are dimensionless similarity invariants of the indicated discharge. These invariants were shown to be quantitative criteria of realization of single, double, triple, etc. cylindrical Z-pinch plasma column compression regimes.

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Authors and Affiliations

  1. Prokhorov General Physics Institute, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russia

    U. Yusupaliev

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  1. U. Yusupaliev
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Original Russian Text © U. Yusupaliev, 2009, published in Kratkie Soobshcheniya po Fizike, 2009, Vol. 36, No. 6, pp. 30–40.

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Yusupaliev, U. Dimensionless similarity invariants and criteria of cylindrical Z-pinch compression regimes in a gas. Bull. Lebedev Phys. Inst. 36, 175–181 (2009). https://doi.org/10.3103/S1068335609060049

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  • DOI: https://doi.org/10.3103/S1068335609060049

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