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author:

Jiang, Fei (Jiang, Fei.) [1] (Scholars:江飞) | Jiang, Song (Jiang, Song.) [2]

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Scopus SCIE

Abstract:

We investigate why the non-slip boundary condition for the velocity, imposed in the direction of impressed magnetic fields, can contribute to the magnetic inhibition effect based on the magnetic Rayleigh-Taylor (abbr. NMRT) problem in nonhomogeneous incompressible non-resistive magnetohydrodynamic (abbr. MHD) fluids. Exploiting an infinitesimal method in Lagrangian coordinates, the idea of (equivalent) magnetic tension, and the differential version of magnetic flux conservation, we give an explanation of a physical mechanism for the magnetic inhibition phenomenon in a non-resistive MHD fluid. Moreover, we find that the magnetic energy in the non-resistive MHD fluid depends on the displacement of fluid particles, and thus can be regarded as elastic potential energy. Motivated by this observation, we further use the well-known minimum potential energy principle to explain the physical meaning of the stability/instability criteria in the NMRT problem. As a result of the analysis, we further extend the results on the NMRT problem to the stratified MHD fluid case. We point out that our magnetic inhibition theory can be used to explain the inhibition phenomenon of other flow instabilities, such as thermal instability, magnetic buoyancy instability, and so on, by impressed magnetic fields in non-resistive MHD fluids.

Keyword:

Community:

  • [ 1 ] [Jiang, Fei]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China
  • [ 2 ] [Jiang, Song]Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China

Reprint 's Address:

  • 江飞

    [Jiang, Fei]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China

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Source :

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

ISSN: 0003-9527

Year: 2019

Issue: 2

Volume: 233

Page: 749-798

2 . 4 2

JCR@2019

2 . 6 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:59

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 58

SCOPUS Cited Count: 53

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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