Abstract
The designation symmetric, or two-parameter, stationary flow refers to a flow in which all quantities depend on only two spatial coordinates q1 and q2, being independent of the third coordinate q3. The existence of this kind of symmetry allows the introduction of a number of integrals of the motion and simplifies the analysis considerably. The most general form of spatial symmetry is helical symmetry, in which all quantities are constant along the helices ϕ — αz = const, r = const, characterized by a fixed pitch L = 2π/α. In order to formulate a general theory of symmetric flow which includes the case of helical symmetry, it is necessary to carry out the calculations in a nonorthogonal curvilinear coordinate system qi (cf. Appendix).
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Solov’ev, L.S. (1967). Symmetric Magnetohydrodynamic Flow and Helical Waves in a Circular Plasma Cylinder. In: Leontovich, M.A. (eds) Reviews of Plasma Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7799-7_4
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DOI: https://doi.org/10.1007/978-1-4615-7799-7_4
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