Investigation of behavior of the dynamic contact angle in a problem of convective flows

The two-dimensional problem of flows with a dynamic contact angle is studied in the case of an uniformly moving contact point. Mathematical modeling of the flows is carried out with the help of the Boussinesq approximation of the Navier-Stokes equations. On the thermocapillary interface the kinematic, the dynamic conditions and the heat exchange condition of third order are fulfilled. The slip conditions (conditions of proportionality of the tangential stress to the difference of the tangential velocities of liquid and wall) are prescribed on the solid boundaries kept at constant temperature. The dependence of the dynamic contact angle on the contact point velocity is investigated numerically. The presented results demonstrate the differences in the flow characteristics and contact angle behavior with respect to the different contact point velocity, friction coefficients, gravity acceleration and to amplitude of the thermal boundary regimes.