Double-diffusive convection with an imposed magnetic field
type: Item
instance of: scholarly article
title: Double-diffusive convection with an imposed magnetic field
zbMATH Open document ID: 0595.76043
DOI: 10.1016/0017-9310(84)90164-9
author: N. Rudraiah
author: I. S. Shivakumara
published in: International Journal of Heat and Mass Transfer
publication date: 1984-01-01T00:00:00Z
review text: The stability of the double-diffusive magnetoconvection subject to infinitesimal and finite amplitude disturbances is studied in this paper. It is reported that the marginal stability of oscillatory modes occurs on a hyperboloid in space determined by R, \(R_ s\), and \(Q\tau_ 2\) where R and \(R_ s\) are the thermal and solute Rayleigh numbers, Q a magnetic number and \(\tau_ 2\) is the ratio of magnetic to thermal diffusivities. The effect of the magnetic field is to make the system more stable, as expected, and the region of salt-finger and overstable modes decreases as \(\tau_ 1\) increases, where \(\tau_ 1\) is the ratio of the solute and thermal diffusivities. It is found that the salt-finger and over-stable modes may be simultaneously unstable over a wide range of conditions and the effect of the magnetic field is to suppress this region.
reviewed by: H. S. Takhar
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 76E25
zbMATH DE Number: 3958980
zbMATH Keywords: double-diffusive magnetoconvection
zbMATH Keywords: stability of the double-diffusive magnetoconvection
zbMATH Keywords: finite amplitude disturbances
zbMATH Keywords: marginal stability of oscillatory modes
zbMATH Keywords: thermal diffusivities
zbMATH Keywords: region of salt-finger
zbMATH Keywords: overstable modes
MaRDI profile type: Publication
full work available at URL: 0017-9310(84)90164-9
OpenAlex ID: W2005617130
description: scientific article; zbMATH DE number 3958980