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The Onset of Fluid Rotation in a Thermogravitational Boundary Layer with Local Cooling of the Free Surface

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Abstract

Axisymmetric regimes of flows of an inhomogeneous fluid in the boundary layer near a free surface are calculated for a nonuniform temperature distribution on this surface. For the fluid motion equations written in the Oberbeck-Boussinesq approximation, the leading terms of asymptotic expansions of solutions of a steady-state problem are constructed. It is shown that in the presence of local cooling of the free surface and a rising outer fluid stream, as a result of a bifurcation, a pair of rotational regimes may develop in a thin boundary layer near the free surface, with no rotation observed outside this layer. No bifurcation of rotation was detected in the case of local heating of the free surface.

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Authors and Affiliations

  1. Southern Federal University, Rostov-on-Don, Russia

    V. A. Batishchev & V. A. Getman

Authors
  1. V. A. Batishchev
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  2. V. A. Getman
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Correspondence to V. A. Batishchev.

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Original Russian Text © V.A. Batishchev, V.A. Getman, 2018, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2018, No. 4, pp. 57–67.

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Batishchev, V.A., Getman, V.A. The Onset of Fluid Rotation in a Thermogravitational Boundary Layer with Local Cooling of the Free Surface. Fluid Dyn 53, 500–509 (2018). https://doi.org/10.1134/S0015462818040031

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  • DOI: https://doi.org/10.1134/S0015462818040031

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