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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2013, Volume 15, Number 4, Pages 101–110 (Mi svmo426)

In Middle Volga Mathematical Society

Research of propagation of the waves on a surface of a cylindrical column of magnetic fluid surrounding a porous core

E. N. Egerevaa, O. A. Runovab, A. A. Kormilicinb

a Ogarev Mordovia State University
b Mordovian State Pedagogical Institute, Saransk

Abstract: 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.

Keywords: waves, magnetic fluid, cylindrical configuration of fluid, magnetic field, long porous core.

UDC: 533.9.01



© Steklov Math. Inst. of RAS, 2025