On the Existence of a Weak Solution of Incompressible Flow through a Radial Blade Machine

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F11%3A00181140" target="_blank" >RIV/68407700:21220/11:00181140 - 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
On the Existence of a Weak Solution of Incompressible Flow through a Radial Blade Machine
Original language description
The paper is concerned with the analysis of the two dimensional model of incompressible, viscous, stationary flow through a radial blade machine. This type of turbine is sometimes called Kaplan's turbine. The inflow and outflow part of boundary are in general a concentric circles. The larger one represents an inflow part of boundary the smaller one the outflow part of boundary. Between them are regularly spaced the blades of the machine. The problem is formulated in the domain Omega where we prescribe Dirichlet boundary condition on the inflow Gammai and on the profiles Gammaw and a suitable natural boundary condition on the outlet Gammao. We study the existence of the weak solution in the case of nonlinear boundary condition of the "do-nothing" type.The model is interesting for the study of the behavior of the flow because the boundary is formed by mutually disjoint and separated parts.
Czech name
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Czech description
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Project
<a href="/en/project/GP201%2F09%2FP413" target="_blank" >GP201/09/P413: Matematical analysis and numerical solution of the flow through cascade of profiles</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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