BOUNDS ON THE GROWTH RATE FOR THE KUO PROBLEM

被引：2

作者：

Lavanya, S. ^{[1
]}

Ganesh, V. ^{[2
]}

Reddy, G. Venkata Ramana ^{[1
]}

机构：

[1] Koneru Lakshmaiah Educ Fdn, Dept Math, Vaddeswaram 522502, Andhra Pradesh, India

[2] Univ Technol & Appl Sci, Engn Dept, Muscat 133, Oman

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2023年 / 41卷 / 02期

关键词：

Parallel shear flows; inviscid; incompressible fluids; 9-plane; HOWARDS CONJECTURE; LINEAR INSTABILITY; SHEAR FLOWS;

D O I：

10.14317/jami.2023.363

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. We consider Kuo problem of hydrodynamic stability which deals with incompressible, inviscid, parallel shear flows in the ,9-plane. For this problem, we derived instability region without any approximations and which intersects with Howard semi-circle region under certain condition. Also, we derived upper bound for growth rate and amplification factor of an unstable mode and proved Howard's conjecture.

引用

页码：363 / 372

页数：10

共 20 条

[1] ON REDUCING HOWARD SEMICIRCLE FOR HOMOGENEOUS SHEAR FLOWS
BANERJEE, MB
GUPTA, JR
SUBBIAH, M
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 130 (02) : 398 - 402
[2] Banerjee MB, 1997, INDIAN J PURE AP MAT, V28, P825
[3] A PROOF OF HOWARDS CONJECTURE IN HOMOGENEOUS PARALLEL SHEAR FLOWS
BANERJEE, MB
SHANDIL, RG
KANWAR, V
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1994, 104 (03): : 593 - 595
[4] On upper bounds for the growth rate in the extended Taylor-Goldstein problem of hydrodynamic stability
Ganesh, V.
Subbiah, M.
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2009, 119 (01): : 119 - 135
[5] ON THE LIMITATIONS OF THE COMPLEX WAVE VELOCITY IN THE INSTABILITY PROBLEM OF HETEROGENEOUS SHEAR FLOWS
GUPTA, JR
SHANDIL, RG
RANA, SD
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 144 (02) : 367 - 376
[6] HICKERNELL FJ, 1985, STUD APPL MATH, V72, P87
[7] NOTE ON A PAPER OF MILES,JOHN,W.
HOWARD, LN
[J]. JOURNAL OF FLUID MECHANICS, 1961, 10 (04) : 509 - 512
[8] A new upper bound on the growth rate of linear instability of baroclinic zonal flows in a two-layer model on a beta-plane
Kanwar, V
Sinha, AK
[J]. PHYSICS OF FLUIDS, 1999, 11 (10) : 2925 - 2927
[9] KUO HI, 1949, J METEOROL, V6, P105, DOI 10.1175/1520-0469(1949)006<0105:DIOTDN>2.0.CO
[10] 2

← 1 2 →