The Mathematical Model of a Steady Flow Through a Plane Profile Cascade with an Arbitrarily Large Inflow - Existence of a Weak Solution

被引：5

作者：

Neustupa, T. ^{[1
]}

机构：

[1] Czech Tech Univ, Prague 12135 2, Czech Republic

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 2015年 / 1648卷

关键词：

Navier-Stokes equations; cascade of profiles; weak solution; natural boundary condition;

D O I：

10.1063/1.4912332

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with the mathematical model of stationary incompressible viscous flow through a spatially periodic plane profile cascade. The corresponding boundary value problem is reduced to one spatial period. Using a special form of the so called artificial boundary condition on the outflow, we prove the existence of a weak solution for an arbitrarily large inflow.

引用

页数：4

共 38 条

[1] A steady flow through a plane cascade of profiles with an arbitrarily large inflow_The mathematical model, existence of a weak solution
Neustupa, Tomas
APPLIED MATHEMATICS AND COMPUTATION, 2016, 272 : 687 - 691
[2] A Mathematical Model of a Steady Flow Through the Kaplan Turbine - the Existence of a Weak Solution in the Case of an Arbitrarily Large Inflow
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PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016), 2017, 1863
[3] On the Existence of a Weak Solution of Viscous Incompressible Flow Past a Cascade of Profiles with an Arbitrarily Large Inflow
Feistauer, Miloslav
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JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2013, 15 (04) : 701 - 715
[4] On the Existence of a Weak Solution of Viscous Incompressible Flow Past a Cascade of Profiles with an Arbitrarily Large Inflow
Miloslav Feistauer
Tomáš Neustupa
Journal of Mathematical Fluid Mechanics, 2013, 15 : 701 - 715
[5] Existence of a steady flow through a rotating radial turbine with an arbitrarily large inflow and an artificial boundary condition on the outflow
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ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2023, 103 (10):
[6] ON THE EXISTENCE OF A WEAK SOLUTION OF A STEADY FLOW OF A HEAT CONDUCTIVE INCOMPRESSIBLE FLUID THROUGH A CASCADE OF PROFILES
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CONFERENCE TOPICAL PROBLEMS OF FLUID MECHANICS 2016, 2016, : 151 - 156
[7] Analysis of a Stationary Viscous Incompressible Flow Through a Cascade of Profiles with a Large Inflow
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NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
[8] The weak solvability of the steady problem modelling the flow of a viscous incompressible heat-conductive fluid through the profile cascade
Neustupa, Tomas
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2017, 27 (07) : 1451 - 1466
[9] Existence of steady flows of a viscous incompressible fluid through a profile cascade and their Lr-regularity
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MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (04) : 1827 - 1844
[10] Mathematical Modelling of a Steady Flow of a Heat Conductive Incompressible Fluid through the Cascade of Profiles
Neustupa, T.
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015), 2016, 1738

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