Convective Bows in a liquid bridge subject to axial high frequency vibrations are studied on the base of a generalized Boussinesq approach. The generation of mean vorticity in the dynamical skin-layers near the rigid and free boundaries is taken into account, with the help of effective boundary conditions for the mean components of hydrodynamical fields. The role of viscous damping of surface waves in the generation of the mean flows is analyzed. Numerical calculations are carried out by a finite-difference method. The possibilities of the vibrational control of thermocapillary flow and of the orientation of the surfaces of constant temperature are demonstrated.