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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2011 Volume 4, Issue 4, Pages 434–444 (Mi jsfu202)

This article is cited in 3 papers

On small perturbations of thermocapillary stationary two-layer flow in plane layer with movable boundary

Viktor K. Andreev, Viktoriya B. Bekezhanova

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia

Abstract: Problem on plane unidirectional two-layer flow of viscous heat-conducting fluid in microgravity is studied. There is a situation in which the flow is generated by Marangoni forces and motion of one of channel's walls only. Using the linearization method the stability of the regime is investigated. The flow crisis is induced by thermal oscillatory or monotonic waves for different wavenumber.

Keywords: interface, nonisothermal flow, neutral curve.

UDC: 532.5.013.4

Received: 17.02.2011
Received in revised form: 25.04.2011
Accepted: 10.05.2011



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