caa a22 4500 475776615 CHVBK 20180406123632.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1007/BF02468733 doi (NATIONALLICENCE)springer-10.1007/BF02468733 Lugovtsov B. aut Rotationally symmetric spontaneous swirling in MHD flows [Elektronische Daten] [B. Lugovtsov] The stability of steady axisymmetricMHD flows of an inviscid, incompressible, perfectly conducting fluid with respect to swirling—perturbations of the azimuthal components of the velocity field—is studied in a linear approximation. It is shown that for flows similar to a magnetohydrodynamic Hill-Shafranov vortex, the problem reduces to a one-dimensional problem on a closed streamline of the unperturbed flow (the arc length of the streamline is the spatial coordinate). A spectral boundary-value eigenvalue problem is formulated for a system of two ordinary differential equations with periodic coefficients and periodic boundary conditions. Sufficient conditions under which swirling is impossible are obtained. Numerical solution of the characteristic equation shows that, under certain conditions, for each streamline there is a real eigenvalue that yields monotonic exponential growth of the initial perturbations. Kluwer Academic/Plenum Publishers, 2000 Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/5(2000-09-01), 870-878 0021-8944 41:5<870 2000 41 10808 https://doi.org/10.1007/BF02468733 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02468733 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lugovtsov B. aut NATIONALLICENCE 773 0- Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/5(2000-09-01), 870-878 0021-8944 41:5<870 2000 41 10808 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer