Effects of gravity levels on Marangoni-Stokes flows in Plateau configurations

Autor: C. Golia, L.G. Napolitano
Rok vydání: 1984
Předmět:
Zdroj: Acta Astronautica. 11:213-225
ISSN: 0094-5765
DOI: 10.1016/0094-5765(84)90111-5
Popis: The combined effects of buoyancy and Marangoni thermal stresses for Stokes regimes in a plane Plateau type configuration are studied. The appropriate mathematical formulation for Stokes regimes of arbitrary immiscible interfacing liquids in the presence of temperature differences and gravity field is given and the conditions for which the temperature field is uncoupled from the velocity field derived. It is then proved that for Plateau configurations the zeroth order problem is fully linear so that Marangoni and buoyant effects are superposable. The special case of a plane geometry is then solved analytically by means of Papkovich-Faddle bi-orthogonal complex functions. The relevant features of the flow are analyzed and discussed in terms of streamlines, velocity profiles, dynamic interface shapes with particular emphasis in the comparison between purely Marangoni, purely buoyant and combined free convection.
Databáze: OpenAIRE