  The stationary single vortex Marangoni convection in an axially symmetrical
sessile drop of capillary size is considered. The detailed description of the
fluid flows is presented for a wide range of contact angles, which takes into
account the boundary conditions and the mass balance equation, without
explicitly solving the Navier--Stokes equations. The analytical approach
developed is compared with the results of numerical simulations and
demonstrated to describe reasonably well the single-vortex Marangoni flows.
This indicates the substantial role of the boundary conditions in the problem.
