On the Existence of a Weak Solution of Viscous Incompressible Flow Past a Cascade of Profiles with an Arbitrarily Large Inflow

• ID: 2629, RIV: 10190287
• ISSN: 1422-6928, ISBN: not specified
• source: Journal of Mathematical Fluid Mechanics
• keywords: Cascade of profiles; Navier-Stokes equations; natural outlet boundary condition; existence of a weak solution
• authors: Miloslav Feistauer, Tomáš Neustupa
• authors from KNM: Feistauer Miloslav

Abstract

The paper deals with the analysis of a stationary viscous incompressible flow through a cascade of profiles representing a blade row of a turbine. The initial-boundary value problem for the Navier-Stokes system is formulated in a domain having the form of one spatial period of the cascade. In comparison to previous results, we solve the problem with an arbitrarily large inflow into the turbine. We formulate the "artificial" boundary condition on the outflow (the modification of the so called do-nothing condition) that enables us to prove the existence of a weak solution.