This article is cited in 1 paper

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

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.

Keywords: free boundary, nonhomogeneous fluid, boundary layer, bifurcation, thermocapillary effect, rotation.

UDC: 532.526

Received: 17.09.2019
Revised: 29.11.2019
Accepted: 23.12.2019

DOI: 10.15372/PMTF20200313

 English version: Journal of Applied Mechanics and Technical Physics, 2020, 61:3, 417–425

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