Unidirectional Marangoni-Poiseuille flows of a viscous incompressible fluid with the Navier boundary condition

Abstract

The paper obtains an exact solution describing the shear convection of a swirling viscous incompressible fluid in a horizontal layer taking into account the Marangoni condition, the Navier condition and the non-uniform pressure distribution on one of the layer boundaries. It is shown that this exact solution is able to describe the appearance of the stratification of a velocity field and thermal force fields. © 2019 Author(s).