27/06/2023, 10:00 — 11:00 — Sala P3.10, Pavilhão de Matemática
Tomas Neustupa, Department of Technical Mathematics, Faculty of Mechanical Engineering, Czech Technical University in Prague
Existence of a solution of a steady flow through a cascade of profiles and radial turbine with arbitrary large inflow
The aim of the talk is the existence of a solution to the Navier-Stokes-type problem in a more complicated geometry.
Specially in 2D cascade of profiles (a model of blade machine) and a 2D multiply connected domain, modelling a flow of an incompressible viscous fluid through a rotating radial turbine. The main goal is to consider artificial boundary condition of the ''do nothing'' type on the outflow part of the domain and prove the existence for an arbitrarily large flux through the inflow part of the domain.
