Boundary effect on Marangoni convection in a variable viscosity fluid layer

N. Z. Abidin, Norihan M. Arifin, Mohd. Salmi Md. Noorani

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The onset of Marangoni convection in a horizontal fluid layer with a free surface overlying a solid layer heated from below is studied. Problem is focused on the effect of the solid layer depth or its conductivity. The viscosity group, Rv, Biot number, Bi, depth ratio, dr and conductivity ratio, kr, are significant on deterniming the critical Marangoni number Mc with the corresponding critical wavenumber αc. The characteristics problem is solved numerically. Results show that the temperature-dependent viscosity destabilizes the fluid system but it behaves oppositely when a higher relative thermal conductivity ratio or higher depth ratio is taken.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalJournal of Mathematics and Statistics
Volume4
Issue number1
Publication statusPublished - 2008

Fingerprint

Marangoni Convection
Variable Viscosity
Boundary Effect
Fluid
Conductivity
Temperature-dependent Viscosity
Thermal Conductivity
Free Surface
Viscosity
Horizontal

Keywords

  • Marangoni convection
  • Temperature-dependent viscosity

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

Boundary effect on Marangoni convection in a variable viscosity fluid layer. / Abidin, N. Z.; Arifin, Norihan M.; Md. Noorani, Mohd. Salmi.

In: Journal of Mathematics and Statistics, Vol. 4, No. 1, 2008, p. 1-8.

Research output: Contribution to journalArticle

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