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

Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

BK - Mechanika tekutin

OECD FORD obor

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Projekt

<a href="/cs/project/GP201%2F09%2FP413" target="_blank" >GP201/09/P413: Matematická analýza a numerické řešení proudění profilovou mříží</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Topical Problems of Fluid Mechanics 2011

ISBN

978-80-87012-32-1

ISSN

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e-ISSN

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Počet stran výsledku

4

Strana od-do

77-80

Název nakladatele

Institute of Thermomechanics, AS CR, v.v.i.

Místo vydání

Prague

Místo konání akce

Praha

Datum konání akce

16. 2. 2011

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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