Fluid Dynamics

, Volume 53, Issue 4, pp 500–509 | Cite as

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

  • V. A. BatishchevEmail author
  • V. A. Getman


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.


inhomogeneous fluid free boundary cooling bifurcation rotation 


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© Pleiades Publishing, Inc. 2018

Authors and Affiliations

  1. 1.Southern Federal UniversityRostov-on-DonRussia

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