Selectivity of Electromagnetic Influence on the Oscillations of a Heavy Conductive Liquid in a Channel
- 2 Downloads
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.
Keywordsmagnetohydrodynamics oscillations of liquid electromagnetic force
Unable to display preview. Download preview PDF.
- 1.V. A. Glukhikh, A. V. Tananaev, and I. R. Kirillov, Magnetic Hydrodynamics in Nuclear Power (Energoatomizdat, Moscow, 1987) [in Russian].Google Scholar
- 2.K. D. Danov and M. S. Ruderman, “Nonlinear Waves on Shallow Water in the Presence of a Horizontal Magnetic Field,” Izv. Akad. Nauk SSSR. Mekh. Zhidk. Gaza No. 5, 110–115 (1983) [Fluid Dynamics 18 (5), 751–756 (1983)].Google Scholar
- 4.Yu. N. Gordeev and V. V. Murzenko, “Wave Flows of a Conductive Viscous Fluid Film in a Transverse Magnetic Field,” Prikl. Mat. Tekhn. Fiz. No. 3, 96–100 (1990) [J. Appl. Mech. Techn. Phys. 31 (3), 431–435 (1990)].Google Scholar
- 6.A. K. Tomilin, Oscillations of Electromechanical Systems with Distributed Parameters (Vost.-Kazakh. Tekhn. Univ. (VKGTU), Ust’-Kamenogorsk, 2004) [in Russian].Google Scholar
- 8.N. N. Moiseev and V. V. Rumyantsev, Dynamics of a Body with Cavities Containing a Liquid (Nauka, Moscow, 1965) [in Russian].Google Scholar
- 9.G. G. Branover and A. B. Tsinober, Magnetic Hydrodynamics of Incompressible Media (Nauka, Moscow, 1970) [in Russian].Google Scholar
- 10.I. I. Novikov, Applied Magnetic Hydrodynamics (Atomizdat, Moscow, 1969) [in Russian].Google Scholar