Unidirectional convective flows of a viscous incompressible fluid with slippage in a closed layer

An exact solution describing the flow of a viscous incompressible fluid in a closed horizontal layer is obtained in view of the Navier slip condition and the inhomogeneous pressure distribution on one of the layer boundaries. The principal possibility of velocity field stratification and the dependence of the number of stratification points on the slip length are demonstrated. © 2019 Author(s)