Premium
On non‐stationary viscous incompressible flow through a cascade of profiles
Author(s) -
Feistauer Miloslav,
Neustupa Tomáš
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.755
Subject(s) - mathematics , cascade , bounded function , mathematical analysis , domain (mathematical analysis) , boundary value problem , dirichlet boundary condition , boundary (topology) , flow (mathematics) , mixed boundary condition , compressibility , incompressible flow , dirichlet distribution , geometry , mechanics , physics , chemistry , chromatography
The paper deals with theoretical analysis of non‐stationary incompressible flow through a cascade of profiles. The initial‐boundary value problem for the Navier–Stokes system is formulated in a domain representing the exterior to an infinite row of profiles, periodically spaced in one direction. Then the problem is reformulated in a bounded domain of the form of one space period and completed by the Dirichlet boundary condition on the inlet and the profile, a suitable natural boundary condition on the outlet and periodic boundary conditions on artificial cuts. We present a weak formulation and prove the existence of a weak solution. Copyright © 2006 John Wiley & Sons, Ltd.