Instability of MHD-modified interfacial gravity waves revisited

A. Lukyanov; G. El; S. Molokov

doi:10.1016/S0375-9601(01)00653-3

Instability of MHD-modified interfacial gravity waves revisited

A. Lukyanov^*, G. El, S. Molokov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

We reveal the basic mechanism of instability of the two-layer conductive fluid system carrying a normal current and exposed to a uniform external magnetic field. This process is a reflection of a MHD-modified interfacial gravity wave from the boundary. Due to special boundary conditions, the reflection coefficient turns out to be greater than 1 for some directions of the wave propagation. We consider two cases: reflection of a monochromatic plane wave from the plane boundary and reflection of rotating waves in a circular geometry. We believe that the proposed mechanism gives a new understanding of the instability formation in the system 'liquid metal-electrolyte' type.

Original language	English
Pages (from-to)	165-172
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	290
Issue number	3-4
Early online date	19 Oct 2001
DOIs	https://doi.org/10.1016/S0375-9601(01)00653-3
Publication status	Published - 12 Nov 2001
Externally published	Yes

Keywords

Instability
Interfacial wave
Reflection

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10.1016/S0375-9601(01)00653-3

http://www.personal.reading.ac.uk/~sms06al/pla01.pdf

Cite this

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title = "Instability of MHD-modified interfacial gravity waves revisited",

abstract = "We reveal the basic mechanism of instability of the two-layer conductive fluid system carrying a normal current and exposed to a uniform external magnetic field. This process is a reflection of a MHD-modified interfacial gravity wave from the boundary. Due to special boundary conditions, the reflection coefficient turns out to be greater than 1 for some directions of the wave propagation. We consider two cases: reflection of a monochromatic plane wave from the plane boundary and reflection of rotating waves in a circular geometry. We believe that the proposed mechanism gives a new understanding of the instability formation in the system 'liquid metal-electrolyte' type.",

keywords = "Instability, Interfacial wave, Reflection",

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TY - JOUR

T1 - Instability of MHD-modified interfacial gravity waves revisited

AU - Lukyanov, A.

AU - El, G.

AU - Molokov, S.

PY - 2001/11/12

Y1 - 2001/11/12

N2 - We reveal the basic mechanism of instability of the two-layer conductive fluid system carrying a normal current and exposed to a uniform external magnetic field. This process is a reflection of a MHD-modified interfacial gravity wave from the boundary. Due to special boundary conditions, the reflection coefficient turns out to be greater than 1 for some directions of the wave propagation. We consider two cases: reflection of a monochromatic plane wave from the plane boundary and reflection of rotating waves in a circular geometry. We believe that the proposed mechanism gives a new understanding of the instability formation in the system 'liquid metal-electrolyte' type.

AB - We reveal the basic mechanism of instability of the two-layer conductive fluid system carrying a normal current and exposed to a uniform external magnetic field. This process is a reflection of a MHD-modified interfacial gravity wave from the boundary. Due to special boundary conditions, the reflection coefficient turns out to be greater than 1 for some directions of the wave propagation. We consider two cases: reflection of a monochromatic plane wave from the plane boundary and reflection of rotating waves in a circular geometry. We believe that the proposed mechanism gives a new understanding of the instability formation in the system 'liquid metal-electrolyte' type.

KW - Instability

KW - Interfacial wave

KW - Reflection

UR - https://www.scopus.com/pages/publications/0035851751

U2 - 10.1016/S0375-9601(01)00653-3

DO - 10.1016/S0375-9601(01)00653-3

M3 - Article

AN - SCOPUS:0035851751

SN - 0375-9601

VL - 290

SP - 165

EP - 172

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3-4

ER -

Instability of MHD-modified interfacial gravity waves revisited

Abstract

Keywords

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