✦ LIBER ✦

Stabilization of thermocapillary instability in a fluid layer with internal heat source

✍ Scribed by I. Hashim; H. Othman; S. Awang Kechil

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 597 KB
Volume: 36
Category: Article
ISSN: 0735-1933
DOI: 10.1016/j.icheatmasstransfer.2008.09.009

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✦ Synopsis

The onset of steady thermocapillary (surface-tension-driven Marangoni) instability in a horizontal fluid layer in the presence of a uniform heat generation is considered theoretically using stability theory. The fluid layer, heated from below, is bounded above by a deformable free upper surface and below by a rigid plane boundary. The stability of the fluid layer is investigated and subjected to a feedback control on the temperatures of the boundaries. An exact solution for marginal stability owing to an exchange of stabilities has been obtained. Long wavelength instability may coexist with a finite wavelength instability for certain sets of parameter values, often referred to as frontier points.

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