Unidirectional thermocapillary flows of a viscous incompressible fluid with the Navier boundary condition

A new exact solution for Marangoni shear convection in a flat horizontal layer, induced by taking into account the Navier condition at the lower boundary, is obtained. The study of the behavior of hydrodynamic fields has shown that they have a complex topology and allow the appearance of several zones with reverse flow. © 2019 Author(s)