Influence of the Marangoni Effect on the Emergence of Fluid Rotation in a Thermogravitational Boundary Layer

Steady axisymmetric regimes of the fluid flow in a thermogravitational boundary layer near the free surface with a nonuniform temperature distribution on this boundary are calculated for equations of fluid motion in the Oberbeck-Boussinesq approximation, where the viscosity and thermal diffusivity a...

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Bibliographic Details
Published in:Journal of applied mechanics and technical physics 2020-05, Vol.61 (3), p.417-425
Main Author: Batishchev, V. A.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Axisymmetric flow
Bifurcations
Boundary layers
Boussinesq approximation
Classical and Continuum Physics
Classical Mechanics
Fluid dynamics
Fluid flow
Fluid- and Aerodynamics
Free surfaces
Marangoni convection
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Physics
Physics and Astronomy
Rotating fluids
Rotation
Temperature distribution
Thermal diffusivity
Viscosity
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Summary:Steady axisymmetric regimes of the fluid flow in a thermogravitational boundary layer near the free surface with a nonuniform temperature distribution on this boundary are calculated for equations of fluid motion in the Oberbeck-Boussinesq approximation, where the viscosity and thermal diffusivity are small. With due allowance for the thermocapillary effect, it is demonstrated that nonhomogeneous fluid flow regimes with rotation can arise in the boundary layer owing to a bifurcation in the case of local cooling of the free surface, whereas rotation outside this layer is absent.
ISSN:0021-8944
1573-8620
DOI:10.1134/S002189442003013X