| Abstract: |
| We prove the existence of a steady strong solution to the Navier-Stokes-type problem in a 2D multiply connected domain, modelling a flow of an incompressible viscous fluid through a rotating radial turbine. We consider the inhomogeneous Dirichlet boundary condition on the inflow and an artificial boundary condition of the ``do nothing`` type on the outflow. The conditions admit an arbitrarily large flux through the turbine. This is, however, compensated by the requirement that the distance between the outflow and the profiles is ``sufficiently small``. The solution is steady in the rotating frame, i.e.~in the frame, attached to the rotating turbine. |
|