Steady flow produced by the vibration of a sphere in an infinite viscous incompressible fluid

Sadiq M.A.

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Steady flow produced by the vibration of a sphere in an infinite viscous incompressible fluid

机译：无限粘性不可压缩流体中的球体振动产生的稳定流

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摘要

In this paper steady streaming due to a vibrating sphere in an incompressible fluid is considered. The Vishik-Lyusternik method is employed to construct an asymptotic expansion of the solution of the Navier-Stokes equations in the limit of high-frequency vibrations for Reynolds numbers of O(1). The effect of the Stokes drift of fluid particles is also considered.

机译：在本文中，考虑了不可压缩流体中由于振动球引起的稳定流动。对于V（1）的雷诺数，在高频振动的极限下，采用Vishik-Lyusternik方法构造Navier-Stokes方程解的渐近展开。还考虑了流体颗粒的斯托克斯漂移效应。

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来源
《Journal of the Physical Society of Japan》 |2011年第9期|共6页
作者
Sadiq M.A.;
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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Boundary layers; Steady flow; Vibrating sphere; Vishik-Lyusternik method;

机译：边界层;平稳流动;振动球;Vishik-Lyusternik方法;

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专利

1. Steady flow produced by the vibration of a sphere in an infinite viscous incompressible fluid [J] . Sadiq M.A. Journal of the Physical Society of Japan . 2011,第9期

机译：无限粘性不可压缩流体中的球体振动产生的稳定流
2. On the pressure and stress singularities induced by steady flows of a pair of nonmiscible, incompressible, viscous fluids in contact with a wall [J] . G. B. Sinclair 力学学报：英文版 . 2010,第005期

机译：关于与壁接触的一对不可混溶，不可压缩的粘性流体的稳定流动所引起的压力和应力奇异性
3. On the pressure and stress singularities induced by steady flows of incompressible viscous fluids [J] . G.B.Sinclair, X.Chi, T.I-P.Shih 力学学报：英文版 . 2009,第004期

机译：关于不可压缩粘性流体稳定流动引起的压力和应力奇异性
4. Optimal control of fluid force around a sphere for incompressible viscous flow by hexahedral bubble element [C] . Shuji Nakajima, Mutsuto Kawahara Asian-Pacific Congress on Computational Mechanics . 2001

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5. STEADY FLOWS OF VISCOUS AND VISCOELASTIC FLUIDS BETWEEN TWO ECCENTRIC CYLINDERS. [D] . BALLAL, BHALCHANDRA Y. -1

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7. Steady viscous flows in an annulus between two cylinders produced by vibrations of the inner cylinder [O] . Ilin, K., Sadiq, M. A. 2010

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Steady flow produced by the vibration of a sphere in an infinite viscous incompressible fluid

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