Effect of a uniform vertical magnetic field on the onset of oscillatory Marangoni convection in a horizontal layer of conducting fluid

Ishak Hashim, S. K. Wilson

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Summary. In this paper we use classical linear stability theory to undertake a detailed investigation of the effect of a uniform vertical magnetic field on the onset of oscillatory thermocapillary-driven Marangoni convection in a horizontal layer of quiescent, electrically conducting fluid heated from below. For simplicity we restrict our attention to the simplest case of a fluid layer with a non-deformable free surface and perfectly electrically conducting boundaries in which the onset of convection is always steady in the absence of the magnetic field. The present numerical calculations show that the presence of the magnetic field can cause the preferred mode of instability to be oscillatory rather than steady convection. Nevertheless, in all the cases investigated the effect of the magnetic field is always to stabilize the layer relative to the case of no magnetic field.

Original languageEnglish
Pages (from-to)129-146
Number of pages18
JournalActa Mechanica
Volume132
Issue number1-4
Publication statusPublished - 1999
Externally publishedYes

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Magnetic fields
Fluids
Convection

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials

Cite this

Effect of a uniform vertical magnetic field on the onset of oscillatory Marangoni convection in a horizontal layer of conducting fluid. / Hashim, Ishak; Wilson, S. K.

In: Acta Mechanica, Vol. 132, No. 1-4, 1999, p. 129-146.

Research output: Contribution to journalArticle

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