Incompressible viscous stationary flow through a cascade of profiles existence of a weak solution, transferability of results from one period back to original domain

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F13%3A00209302" target="_blank" >RIV/68407700:21220/13:00209302 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Incompressible viscous stationary flow through a cascade of profiles existence of a weak solution, transferability of results from one period back to original domain
Original language description
We study the steady flow through a simplified plane cascade of profiles. The model of cascade of profiles describes e.g.~the flow through a turbine or thorough a general blade machine. The problem then can be formulated in a bounded domain ($Omega$) of the form of one space period and completed by the Dirichlet boundary condition on the inlet ($Gammai$) and the profile ($Gammaw$), a suitable natural boundary condition on the outlet ($Gammao$) and periodic boundary conditions on artificial cuts ($Gammap,Gammam$). In this paper we study the possibility to periodically extend the weak solution obtained on one period $Omega$ to get the solution on the whole cascade. This is necessary to legitimate the idea, to solve the problem analytically or numericallyon just a part of the infinite but periodical domain.
Czech name
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Czech description
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Project
<a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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