RESONANT INTERACTION OF ELASTIC THIN BAR VIBRATIONS WITH A SHEAR SHALLOW-WATER FLOW

被引：2

作者：

Gestrin, S. G. ^{[1
]}

Sal'nikov, A. N. ^{[1
]}

Sergeeva, E. K. ^{[1
]}

机构：

[1] Saratov State Tech Univ, Saratov, Russia

来源：

RUSSIAN PHYSICS JOURNAL | 2010年 / 53卷 / 01期

关键词：

wind instability; Kelvin-Helmholtz instability; increment; dispersion equation; INSTABILITY;

D O I：

10.1007/s11182-010-9383-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is demonstrated that resonant interaction of a thin bar with a shear shallow-water flow results in the development of wind instability. The dispersion equation and the instability increment are derived. The wavelength range in which the instability exists is narrowed down when the sound velocity decreases. The frequency and increment of bending waves are estimated numerically for various flow parameters.

引用

页码：29 / 35

页数：7

共 50 条

[1] Resonant interaction of elastic thin bar vibrations with a shear shallow-water flow
S. G. Gestrin
A. N. Sal’nikov
E. K. Sergeeva
Russian Physics Journal, 2010, 53 : 29 - 35
[2] Resonant Interaction of Magnetohydrodynamic Shear Flow with Vibrations of a Thin Plate
Gestrin, S. G.
Gorbatenko, B. B.
Mezhonnova, A. S.
RUSSIAN PHYSICS JOURNAL, 2015, 58 (05) : 616 - 622
[3] Resonant Interaction of Magnetohydrodynamic Shear Flow with Vibrations of a Thin Plate
S. G. Gestrin
B. B. Gorbatenko
A. S. Mezhonnova
Russian Physics Journal, 2015, 58 : 616 - 622
[4] Shear flow instabilities in shallow-water magnetohydrodynamics
Mak, J.
Griffiths, S. D.
Hughes, D. W.
JOURNAL OF FLUID MECHANICS, 2016, 788 : 767 - 796
[5] ON LONG WAVES IN SHALLOW-WATER WITH SHEAR-FLOW
MA, YC
WAVE MOTION, 1986, 8 (04) : 329 - 339
[6] RESONANT SLOSHING IN SHALLOW-WATER
OCKENDON, H
OCKENDON, JR
JOHNSON, AD
JOURNAL OF FLUID MECHANICS, 1986, 167 : 465 - 479
[7] Quasilinear Theory of Resonant Interaction of Bending Vibrations of a Thin Plate with a Shear Hydrodynamic Flow
Gestrin, S. G.
Gorbatenko, B. B.
Mezhonnova, A. S.
RUSSIAN PHYSICS JOURNAL, 2017, 60 (03) : 462 - 469
[8] Quasilinear Theory of Resonant Interaction of Bending Vibrations of a Thin Plate with a Shear Hydrodynamic Flow
S. G. Gestrin
B. B. Gorbatenko
A. S. Mezhonnova
Russian Physics Journal, 2017, 60 : 462 - 469
[9] FLOW AROUND A THIN BODY MOVING IN SHALLOW-WATER
MEI, CC
JOURNAL OF FLUID MECHANICS, 1976, 77 (OCT22) : 737 - 751
[10] On the modeling of shallow-water waves moving over a shear flow
Wang, Hao
Kang, Jing
Liu, Xiaochuan
APPLIED MATHEMATICS LETTERS, 2022, 124

← 1 2 3 4 5 →