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Advective flow in a rotating liquid film

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Abstract

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

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Authors and Affiliations

  1. Institute of Continuous Media Mechanics, Ural Branch, Russian Academy of Sciences, Perm, 614013, Russia

    S. N. Aristov

  2. Russian Presidential Academy of National Economy and Public Administration, Moscow, 119571, Russia

    K. G. Shvarts

Authors
  1. S. N. Aristov
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  2. K. G. Shvarts
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Correspondence to S. N. Aristov.

Additional information

Original Russian Text © S.N. Aristov, K.G. Shvarts.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 1, pp. 216–223, January–February, 2016. Original article submitted October 7, 2013; revision submitted October 22, 2014.

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Aristov, S.N., Shvarts, K.G. Advective flow in a rotating liquid film. J Appl Mech Tech Phy 57, 188–194 (2016). https://doi.org/10.1134/S0021894416010211

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  • DOI: https://doi.org/10.1134/S0021894416010211

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