Stability of magnetohydrodynamic stratified shear flows
type: Item
instance of: scholarly article
title: Stability of magnetohydrodynamic stratified shear flows
zbMATH Open document ID: 0612.76057
DOI: 10.1007/BF01182014
published in: Acta Mechanica
publication date: 1987-01-01T00:00:00Z
review text: A study is made of the stability of a stratified shear flow in a perfectly conducting fluid in the presence of an external magnetic field aligned with the flow. A semi-circle theorem for the present hydromagnetic case is proved. The magnetic field is found to have a stabilizing effect on the flow. The Rayleigh-Taylor instability problem in a stratified conducting fluid is discussed. A study is made of the absorption of wave energy by the mean flow in the hydromagnetic case by considering a shear flow with an antisymmetric velocity profile given by \(U=\tanh z\). Unlike the hydrodynamic case, it is found that, in the critical layer at \(U=0\), the transfer of the wave energy to the mean flow occurs for any value of the Richardson number. This result implies again the stabilizing effect of the magnetic field on the shear flow.
Mathematics Subject Classification ID: 76E25
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76E05
zbMATH DE Number: 3991124
zbMATH Keywords: stability
zbMATH Keywords: stratified shear flow
zbMATH Keywords: perfectly conducting fluid
zbMATH Keywords: external magnetic field
zbMATH Keywords: semi-circle theorem
zbMATH Keywords: Rayleigh-Taylor instability problem
zbMATH Keywords: absorption of wave energy
zbMATH Keywords: antisymmetric velocity profile
author: B. K. Shivamoggi
author: Lokenath Debnath
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01182014
OpenAlex ID: W2010575903
description: scientific article; zbMATH DE number 3991124