Influence of the Marangoni Effect on the Emergence of Fluid Rotation in a Thermogravitational Boundary Layer
V. A. Batishchev
South Federal University, Rostov-on-Don, 344090, Russia
Keywords: свободная граница, неоднородная жидкость, пограничный слой, бифуркации, термокапиллярный эффект, вращение, free boundary, nonhomogeneous fluid, boundary layer, bifurcation, thermocapillary effect, rotation
Abstract
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.
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