The onset of oscillatory Marangoni convection in a semi-infinitely deep layer of fluid

Ishak Hashim, S. K. Wilson

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this paper we use classical linear stability theory to analyse the onset of thermocapillary-driven Marangoni convection in a semi-infinitely deep layer of quiescent fluid. We use a combination of analytical and numerical techniques to obtain for the first time a detailed description of the marginal stability curves for the onset of oscillatory convection. We perform a comprehensive asymptotic analysis of the marginal curves in the limits of both long-wave and short-wave perturbations and present the results of numerical calculations which illustrate the effect of varying the problem parameters on the marginal curves and hence on the critical Marangoni number, frequency of oscillation and wavenumber for the onset of convection.

Original languageEnglish
Pages (from-to)546-558
Number of pages13
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume50
Issue number4
Publication statusPublished - Jul 1999

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Marangoni Convection
Marangoni convection
Fluid
Curve
Convection
Fluids
fluids
convection
curves
Asymptotic analysis
Stability Theory
Linear Stability
Numerical Techniques
planetary waves
Asymptotic Analysis
Numerical Calculation
Oscillation
Perturbation
perturbation
oscillations

Keywords

  • Marangoni
  • Oscillatory convection
  • Stability
  • Thermocapillary

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

The onset of oscillatory Marangoni convection in a semi-infinitely deep layer of fluid. / Hashim, Ishak; Wilson, S. K.

In: Zeitschrift fur Angewandte Mathematik und Physik, Vol. 50, No. 4, 07.1999, p. 546-558.

Research output: Contribution to journalArticle

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