On the existence of a weak solution of viscous incompressible flow past a cascade of profiles with an arbitrarily large inflow

Feistauer M.; Neustupa T.

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On the existence of a weak solution of viscous incompressible flow past a cascade of profiles with an arbitrarily large inflow

机译：关于粘性不可压缩流的弱解的存在，该弱解流经过任意大流量的级联剖面

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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.

机译：本文通过代表涡轮叶片排的一系列级联分析静态粘性不可压缩流。 Navier-Stokes系统的初边值问题是在级联的一个空间周期形式的域中提出的。与以前的结果相比，我们解决了向涡轮机中任意大量流入的问题。我们在流出上制定“人为”边界条件（所谓的“不做任何条件”的修改），使我们能够证明存在弱解。

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来源
《Journal of mathematical fluid mechanics》 |2013年第4期|共15页
作者
Feistauer M.; Neustupa T.;
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正文语种 eng
中图分类流体力学;数学;
关键词
Cascade of profiles; existence of a weak solution; natural outlet boundary condition; NavierStokes equations;

机译：轮廓级联;弱解的存在;自然出口边界条件;Navier Stokes方程;

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1. On the existence of a weak solution of viscous incompressible flow past a cascade of profiles with an arbitrarily large inflow [J] . Feistauer M., Neustupa T. Journal of mathematical fluid mechanics . 2013,第4期

机译：关于粘性不可压缩流的弱解的存在，该弱解流经过任意大流量的级联剖面
2. On the Existence of a Weak Solution of Viscous Incompressible Flow Past a Cascade of Profiles with an Arbitrarily Large Inflow [J] . Miloslav Feistauer, Tomáš Neustupa Journal of Mathematical Fluid Mechanics . 2013,第4期

机译：关于具有任意大流量的一连串剖面的粘性不可压缩流的弱解的存在性
3. A steady flow through a plane cascade of profiles with an arbitrarily large inflow_The mathematical model, existence of a weak solution [J] . Neustupa Tomas Applied mathematics and computation . 2016,第Pta3期

机译：稳定流动通过任意大流量的剖面平面级联_数学模型，弱解的存在
4. Incompressible Viscous Stationary Flow through a Cascade of Profiles - Existence of a Weak Solution, Transferability of Results From One Period Back to Original Infinite Domain [C] . T. Neustupa International Conference of Numerical Analysis and Applied Mathematics . 2014

机译：不可压缩的粘性静止流过级联的曲线 - 存在弱解决方案，从一个时期的结果转移到原始无限域
5. A combined FEM/BEM solution to the vorticity equation for two-dimensional incompressible viscous fluid flows. [D] . Brown, Mary Jane. 2002

机译：二维不可压缩粘性流体流涡度方程的组合FEM / BEM解。
6. Assessment of viscous energy loss and the association with three‐dimensional vortex ring formation in left ventricular inflow: In vivo evaluation using four‐dimensional flow MRI [O] . Mohammed S.M. Elbaz, Rob J. van der Geest, Emmeline E. Calkoen, -1

机译：评估粘性能量损失及其与左心室流入中三维涡流环形成的关系：使用三维流MRI进行体内评估
7. Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls [O] . Muha, Boris, Canic, Suncica 2012

机译：存在非线性流固耦合的弱解模拟气缸中不可压缩的粘性流体的流动的问题有可变形的墙壁
8. On the Numerical Solution to the Integral Equation for the Calculation of the Flow of an Incompressible Fluid Through a Rectilinear Cascade of Thick Highly Cambered Profiles, Using the Method of Singularities [R] . Korff, A. J. 1981

机译：利用奇点法计算不可压缩流体通过直线梯级厚厚高压曲线的积分方程的数值解

On the existence of a weak solution of viscous incompressible flow past a cascade of profiles with an arbitrarily large inflow

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