Geodesic
On thermocapillary instability of a~liquid column with a~co-axial gas flow
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 1, pp. 3-17

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The thermocapillary flows and their stability in an infinite liquid column surrounded by a co-axial gas layer with a given flow rate are investigated. The gas layer is surrounded by a rigid cylindrical surface, which can move in vertical direction. A constant axial temperature gradient is maintained in the layers. The exact solution describing the stationary flow in the given two-phase system is derived. Possible flow regimes are investigated and linear stability analysis of these regimes is performed. The cases of non-deformable and deformable interface are studied.
Keywords: thermocapillary instability, two-phase system, liquid column. 
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Victor K. Andreev; Ilya I. Ryzhkov. On thermocapillary instability of a~liquid column with a~co-axial gas flow. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/JSFU_2013_6_1_a0/