Research of propagation of the waves on a surface of a cylindrical column of magnetic fluid surrounding a porous core.
E. N. Egereva1, O. A. Runova2, A. A. Kormilicin3
Annotation | A mathematical model of wave propagation and instability on a surface of an infinite cylindrical configuration of magnetic fluid, surrounding a coaxial infinite cylindrical porous core, is constructed and studied. The conditions are found under which the disturbances of the liquid column become unstable and result in its fragmentation into a chain of connected droplets. |
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Keywords | waves, magnetic fluid, cylindrical configuration of fluid, magnetic field, long porous core |
1Associate professor of the Department of Mathematics and Theoretical mechanics, Mordovian State University after N.P. Ogarev, Saransk; egerevaen@mail.ru
2Postgraduate student, Mordovian State Pedagogical Institute named after M.E. Evsevyev, Saransk; runova.olga@list.ru
3Student, Mordovian State Pedagogical Institute named after M.E. Evsevyev, Saransk
Citation: E. N. Egereva, O. A. Runova, A. A. Kormilicin, "[Research of propagation of the waves on a surface of a cylindrical column of magnetic fluid surrounding a porous core.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:4 (2013) 101–110 (In Russian)