On non‐stationary viscous incompressible flow through a cascade of profiles | Zendy

Feistauer Miloslav | Zendy; Neustupa Tomáš | Zendy

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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.

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