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

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 s...

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Bibliographic Details
Published in:Fluid dynamics 2018-07, Vol.53 (4), p.500-509
Main Authors: Batishchev, V. A., Getman, V. A.
Format: Article
Language:English
Subjects:
Asymptotic series
Bifurcations
Boundary layers
Boussinesq approximation
Classical and Continuum Physics
Classical Mechanics
Cooling
Engineering Fluid Dynamics
Equations of motion
Fluid- and Aerodynamics
Free surfaces
Mathematical analysis
Physics
Physics and Astronomy
Rotating fluids
Rotation
Temperature distribution
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Summary: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.
ISSN:0015-4628
1573-8507
DOI:10.1134/S0015462818040031