Oscillatory Marangoni convection in a conducting fluid layer with a deformable free surface in the presence of a vertical magnetic field

Ishak Hashim, N. M. Arifin

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13 Citations (Scopus)

Abstract

Linear stability theory is applied to the problem of the onset of oscillatory Marangoni convection in a horizontal layer of electrically conducting fluid heated from below in the presence of a vertical magnetic field. The fluid layer is bounded from below by a rigid boundary and from above by a deformable free surface. The critical Marangoni number Mc, the critical wavenumber ac and the critical frequency ωc are obtained for wide ranges of the Prandtl number P1, the magnetic Prandtl number P2, the crispation number Cr and the Chandrasekhar number Q. We present numerically a necessary and sufficient condition for oscillatory Marangoni convection to occur.

Original languageEnglish
Pages (from-to)199-215
Number of pages17
JournalActa Mechanica
Volume164
Issue number3-4
DOIs
Publication statusPublished - Sep 2003

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Prandtl number
Magnetic fields
Fluids
Convection

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics

Cite this

Oscillatory Marangoni convection in a conducting fluid layer with a deformable free surface in the presence of a vertical magnetic field. / Hashim, Ishak; Arifin, N. M.

In: Acta Mechanica, Vol. 164, No. 3-4, 09.2003, p. 199-215.

Research output: Contribution to journalArticle

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