ASYMPTOTIC METHODS FOR SOLVING THE STOKES PROBLEM FOR A FLAT CONTOUR

被引：0

作者：

Afanasov, E. N. ^{[1
]}

Kadyrov, S. G. ^{[2
]}

Sorokin, V. N. ^{[2
]}

机构：

[1] LLC Evolut Marine Digital, 4-3 Alexandrovsky Pk, St Petersburg 197198, Russia

[2] State Marine Tech Univ, 3 Lotsmanskaya St, St Petersburg 190008, Russia

来源：

ST PETERSBURG POLYTECHNIC UNIVERSITY JOURNAL-PHYSICS AND MATHEMATICS | 2024年 / 17卷 / 03期

关键词：

Stokes problem; viscous incompressible fluid; solid body vibrations; elliptical cylinder; VIBRATION; CYLINDERS; FORCES;

D O I：

10.18721/JPM.17311

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The paper presents asymptotic methods for solving the problem of small harmonic oscillations of a flat contour immersed in an incompressible viscous liquid. In the case of large values of the dimensionless viscosity parameter, asymptotic approximations up to the third order have been obtained. In the case of small values of this viscosity parameter, the main term of the asymptotic of the hydrodynamic force on an arbitrary smooth contour was constructed and its form was proved not to depend on the shape of the contour. The results obtained were confirmed by an example of the problem of oscillations of an elliptical cylinder.

引用

页码：118 / 133

页数：16

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