Onset of Marangoni convection in variable-viscosity fluid layer subject to uniform heat flux from below

S. Awang Kechil, Ishak Hashim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The onset of stationary Marangoni instabilities in a horizontal fluid layer with free surface deformation and heated from below with a uniform heat flux is considered theoretically using linear stability theory. The explicit solution is obtained and the influences of temperature-dependent viscosity, surface deformability, gravity waves and heat transfer mechanism at the free surface on the stability thresholds are investigated. Small stabilizing effect is observed in fluids with a small viscosity variation while large viscosity variation strongly destabilizes the fluid layer. The stability thresholds are critically dependent on viscosity variation, surface deformation and heat transfer mechanism.

Original languageEnglish
Pages (from-to)948-956
Number of pages9
JournalInternational Communications in Heat and Mass Transfer
Volume35
Issue number8
DOIs
Publication statusPublished - Oct 2008

Fingerprint

Marangoni convection
Heat flux
heat flux
Viscosity
viscosity
Fluids
fluids
heat transfer
Heat transfer
thresholds
Gravity waves
Formability
gravity waves
Convection
Temperature
temperature

Keywords

  • Free upper surface
  • Free-slip
  • Instability
  • Insulating
  • Marangoni convection
  • Variable viscosity

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics

Cite this

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abstract = "The onset of stationary Marangoni instabilities in a horizontal fluid layer with free surface deformation and heated from below with a uniform heat flux is considered theoretically using linear stability theory. The explicit solution is obtained and the influences of temperature-dependent viscosity, surface deformability, gravity waves and heat transfer mechanism at the free surface on the stability thresholds are investigated. Small stabilizing effect is observed in fluids with a small viscosity variation while large viscosity variation strongly destabilizes the fluid layer. The stability thresholds are critically dependent on viscosity variation, surface deformation and heat transfer mechanism.",
keywords = "Free upper surface, Free-slip, Instability, Insulating, Marangoni convection, Variable viscosity",
author = "{Awang Kechil}, S. and Ishak Hashim",
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T1 - Onset of Marangoni convection in variable-viscosity fluid layer subject to uniform heat flux from below

AU - Awang Kechil, S.

AU - Hashim, Ishak

PY - 2008/10

Y1 - 2008/10

N2 - The onset of stationary Marangoni instabilities in a horizontal fluid layer with free surface deformation and heated from below with a uniform heat flux is considered theoretically using linear stability theory. The explicit solution is obtained and the influences of temperature-dependent viscosity, surface deformability, gravity waves and heat transfer mechanism at the free surface on the stability thresholds are investigated. Small stabilizing effect is observed in fluids with a small viscosity variation while large viscosity variation strongly destabilizes the fluid layer. The stability thresholds are critically dependent on viscosity variation, surface deformation and heat transfer mechanism.

AB - The onset of stationary Marangoni instabilities in a horizontal fluid layer with free surface deformation and heated from below with a uniform heat flux is considered theoretically using linear stability theory. The explicit solution is obtained and the influences of temperature-dependent viscosity, surface deformability, gravity waves and heat transfer mechanism at the free surface on the stability thresholds are investigated. Small stabilizing effect is observed in fluids with a small viscosity variation while large viscosity variation strongly destabilizes the fluid layer. The stability thresholds are critically dependent on viscosity variation, surface deformation and heat transfer mechanism.

KW - Free upper surface

KW - Free-slip

KW - Instability

KW - Insulating

KW - Marangoni convection

KW - Variable viscosity

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U2 - 10.1016/j.icheatmasstransfer.2008.04.009

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SP - 948

EP - 956

JO - International Communications in Heat and Mass Transfer

JF - International Communications in Heat and Mass Transfer

SN - 0735-1933

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