Mathematical Modelling of a Steady Flow of a Heat Conductive Incompressible Fluid through the Cascade of Profiles.

This paper deals with the mathematical model of a steady flow of a heat-conductive incompressible viscous fluid through a spatially periodic plane profile cascade. The corresponding boundary value problem is reduced to one spatial period. We prove the existence of a weak solution of a coupled problem, with various boundary conditions on the parts of the boundary. Particularly, the condition on the outflow is a variant of the so called "do nothing" boundary condition. [ABSTRACT FROM AUTHOR]