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Journal of Applied Mechanics and Technical Physics

2016 year, number 1

Advective Flow in a Rotating Liquid Film

S. N. Aristov1, K. G. Shvarts2
1Institute of Continuous Media Mechanics, Ural Branch, Russian Academy of Sciences, 614013 Perm, Russia
2Russian Presidential Academy of National Economy and Public Administration, 119571 Moscow, Russia
Keywords: термокапиллярная адвекция, вращение, точное решение, thermocapillary advection, rotation, accurate solution


This paper presents a new accurate solution of the Navier -Stokes equations in the Boussinesq approximation that describes the thermocapillary advective flow in a slowly rotating horizontal layer of incompressible liquid with free boundaries. Such a flow emerges in the case of linear temperature distribution over horizontal coordinates or in the case of heat flux distribution on the layer boundaries. The influence of the Taylor, Marangoni, Grashof, and Biot numbers on the flow and temperature velocity profiles is studied.