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A Note on the Incompressible Viscous Steady Flow Through s Cascade of Profiles

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F14%3A00218080" target="_blank" >RIV/68407700:21220/14:00218080 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A Note on the Incompressible Viscous Steady Flow Through s Cascade of Profiles

  • Original language description

    The mathematical model of a 2D infinite cascade of profiles simulates e.g.~the 3D flow through a turbine or through a general blade machine. If we consider the intersection of the real 3D region filled by the moving fluid with a surface defined along thestreamlines of the flow, and expand the surface in the x_1, x_2--plane we naturally arrive at a 2D domain. The obtained two dimensional domain (denoted by $D$) is unbounded, however periodic in the $x_2$--direction. Its complement in $R^2$ consists of the infinite number of profiles, numbered from $-infty$ to $+infty$. Due to the spatial periodicity of the domain, it is reasonable to assume that the flow through the cascade exhibits the same kind of periodicity -- i.e.~that it is also periodic in the $x_2$--direction with the period $tau$. Consequently, the problem 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

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • 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)

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Conference TOPICAL PROBLEMS OF FLUID MECHANICS 2014

  • ISBN

    978-80-87012-51-2

  • ISSN

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

    77-80

  • Publisher name

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

  • Place of publication

    Prague

  • Event location

    Praha

  • Event date

    Feb 19, 2014

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article