On the Existence of a Weak Solution of Viscous Incompressible Flow Past a Cascade of Profiles with an Arbitrarily Large Inflow

被引：21

作者：

Feistauer, Miloslav ^{[1
]}

Neustupa, Tomas ^{[2
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Prague 18675 8, Czech Republic

[2] Czech Tech Univ, Fac Mech Engn, Prague 12135 2, Czech Republic

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2013年 / 15卷 / 04期

关键词：

Cascade of profiles; Navier-Stokes equations; natural outlet boundary condition; existence of a weak solution; NAVIER-STOKES EQUATIONS;

D O I：

10.1007/s00021-013-0135-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with the analysis of a stationary viscous incompressible flow through a cascade of profiles representing a blade row of a turbine. The initial-boundary value problem for the Navier-Stokes system is formulated in a domain having the form of one spatial period of the cascade. In comparison to previous results, we solve the problem with an arbitrarily large inflow into the turbine. We formulate the "artificial" boundary condition on the outflow (the modification of the so called do-nothing condition) that enables us to prove the existence of a weak solution.

引用

页码：701 / 715

页数：15

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