A Unified Instability Region for the Extended Taylor-Goldstein Problem of Hydrodynamic Stability

被引：1

作者：

Sridevi, S. ^{[1
,3
]}

Dou, Huashu ^{[2
]}

Ganesh, V. ^{[3
]}

机构：

[1] Bharathiar Univ, Res & Dev Ctr, Coimbatore 641046, Tamil Nadu, India

[2] Zhejiang Sci Tech Univ, Fac Mech Engn & Automat, Hangzhou 310018, Zhejiang, Peoples R China

[3] Rajiv Gandhi Coll Engn & Technol, Dept Math, Kirumampakkam 607402, Puducherry, India

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2017年 / 9卷 / 06期

关键词：

Hydrodynamic stability; shear flows; variable bottom; sea straits; CROSS-SECTIONS; GROWTH-RATE; BOUNDS;

D O I：

10.4208/aamm.OA-2016-0022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider inviscid, incompressible shear flows with variable density and variable cross section. For this problem, we derived a new estimate for the growth rate of an unstable mode and a parabolic instability region which intersects semiellipse instability region under some condition.

引用

页码：1404 / 1419

页数：16

共 8 条

[1] On stratified shear flow in sea straits of arbitrary cross section [J].

Deng, J ;

Pratt, L ;

Howard, L ;

Jones, C .

STUDIES IN APPLIED MATHEMATICS, 2003, 111 (04) :409-434

[2] On upper bounds for the growth rate in the extended Taylor-Goldstein problem of hydrodynamic stability [J].

Ganesh, V. ;

Subbiah, M. .

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2009, 119 (01) :119-135

[3]

GANESH V., 2007, J ANAL, V15, P43

[4]

GANESH V., 2010, INDIAN J MATH, V52, P415

[5]

Pratt LJ, 2000, J PHYS OCEANOGR, V30, P2515, DOI 10.1175/1520-0485(2000)030<2515:CDMISH>2.0.CO

[6]

[7] Stability of stratified shear flows in channels with variable cross sections [J].

Reddy, V. R. ;

Subbiah, M. .

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2015, 36 (11) :1459-1480

[8] Bounds on the phase speed and growth rate of the extended Taylor-Goldstein problem [J].

Subbiah, M. ;

Ganesh, V. .

FLUID DYNAMICS RESEARCH, 2008, 40 (05) :364-377

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