Selectivity of Electromagnetic Influence on the Oscillations of a Heavy Conductive Liquid in a Channel

A. K. Tomilin, N. F. Kurilskaya

Research output: Contribution to journalArticlepeer-review

Abstract

Under consideration is the MHD problem of oscillations of a heavy conductive liquid inside a channel with vertical walls in presence of an external horizontal electromagnetic field. We show that the standing surface waves are not damped in the case of symmetric position (with respect to the mid-channel) of the segment affected by a magnetic force. In the case of nonsymmetric position of the active segment, the magnetic force acts selectively on different standing waves. The selectivity condition for each standing wave depends on the width and position of the active segment. We obtain the general conditions for the absence of electromagnetic influence and inspect various special cases.

Original languageEnglish
Pages (from-to)363-371
Number of pages9
JournalJournal of Applied and Industrial Mathematics
Volume13
Issue number2
DOIs
Publication statusPublished - 1 Apr 2019

Keywords

  • electromagnetic force
  • magnetohydrodynamics
  • oscillations of liquid

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering
  • Applied Mathematics

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