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On non-stationary viscous incompressible flow through a cascade of profiles

✍ Scribed by Miloslav Feistauer; Tomáš Neustupa

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
339 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis

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.

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