Control of Marangoni instability in a layer of variable-viscosity fluid

The Marangoni instability in a temperature-dependent-viscosity fluid layer with deformable free surface under the influence of a linear feedback control strategy is investigated. The exact analytical solution for the stationary modes is developed and the effects of the interaction between variable v...

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Bibliographic Details
Published in:International communications in heat and mass transfer 2008-12, Vol.35 (10), p.1368-1374
Main Authors: Awang Kechil, S., Hashim, I.
Format: Article
Language:English
Subjects:
Deformable free surface
Exact sciences and technology
Feedback control
Flow control
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic stability
Instability
Marangoni convection
Physics
Surface-tension-driven instability
Variable viscosity
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Summary:The Marangoni instability in a temperature-dependent-viscosity fluid layer with deformable free surface under the influence of a linear feedback control strategy is investigated. The exact analytical solution for the stationary modes is developed and the effects of the interaction between variable viscosity, controller gains, free surface deformation, gravity waves and heat transfer mechanism on the onset of Marangoni convection are determined. The destabilizing effect of exponential viscosity variation can be effectively suppressed through small controlled perturbations in the thermal boundary data.
ISSN:0735-1933
1879-0178
DOI:10.1016/j.icheatmasstransfer.2008.06.006