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.

中文翻译：

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马兰戈尼效应对热重力边界层中流体旋转出现的影响

对于在 Oberbeck-Boussinesq 近似中的流体运动方程，计算了自由表面附近热重力边界层中流体流动的稳定轴对称状态，在该边界上具有非均匀温度分布，其中粘度和热扩散系数很小。考虑到热毛细管效应，证明在自由表面局部冷却的情况下，由于分叉，边界层中会出现带旋转的非均匀流体流动状态，而在该层外不存在旋转。