On the Bounded Region for the Stratified Shear Flows in β-plane

被引:1
作者
Lavanya, S. [1 ,2 ]
Ganesh, V. [2 ]
Reddy, G. Venkata Ramana [1 ]
机构
[1] Koneru Lakshmaiah Educ Fdn, Dept Math, Vaddeswaram 522302, India
[2] Univ Technol & Appl Sci, Dept Engn, Muscat, Oman
来源
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2023年 / 14卷 / 02期
关键词
Shear flows; Incompressible fluids; Stratified fluids; Inviscid fluids; beta-plane; GROWTH-RATE; INSTABILITY;
D O I
10.26713/cma.v14i2.2213
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider incompressible, inviscid stratified shear flows in beta-plane. We obtained a bounded and unbounded instability regions which depends on various parameters, and obtained a criterion for stability. Also, we obtained an upper bound for the growth rate, amplification factor of an unstable mode.
引用
收藏
页码:605 / 617
页数:13
相关论文
共 17 条
[1]  
Darzin P. G., 1981, Hydrodynamic Stability
[2]   ON THE LIMITATIONS OF THE COMPLEX WAVE VELOCITY IN THE INSTABILITY PROBLEM OF HETEROGENEOUS SHEAR FLOWS [J].
GUPTA, JR ;
SHANDIL, RG ;
RANA, SD .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 144 (02) :367-376
[3]  
HICKERNELL FJ, 1985, STUD APPL MATH, V72, P87
[4]   NOTE ON A PAPER OF MILES,JOHN,W. [J].
HOWARD, LN .
JOURNAL OF FLUID MECHANICS, 1961, 10 (04) :509-512
[5]   NOTE ON HOWARD SEMICIRCLE THEOREM [J].
KOCHAR, GT ;
JAIN, RK .
JOURNAL OF FLUID MECHANICS, 1979, 91 (APR) :489-491
[6]  
KUO HI, 1949, J METEOROL, V6, P105, DOI 10.1175/1520-0469(1949)006<0105:DIOTDN>2.0.CO
[7]  
2
[8]  
Lavanya S., 2023, Advances in Mathematical Modelling, Applied Analysis and Computation: Proceedings of ICMMAAC 2021. Lecture Notes in Networks and Systems (415), P311, DOI 10.1007/978-981-19-0179-9_18
[9]   BOUNDS ON THE GROWTH RATE FOR THE KUO PROBLEM [J].
Lavanya, S. ;
Ganesh, V. ;
Reddy, G. Venkata Ramana .
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2023, 41 (02) :363-372
[10]  
LINDZEN RD, 1967, MON WEATHER REV, V95, P441, DOI 10.1175/1520-0493(1967)095<0441:PWOBP>2.3.CO