On Upper Bounds for the Growth Rate in the Extended Taylor–Goldstein Problem of Hydrodynamic Stability

Proceedings Mathematical Sciences

M Subbiah²  V Ganesh¹ 

[1] Department of Mathematics, Rajiv Gandhi College of Engineering and Technology, Kirumampakkam, Pondicherry 0 0, India$$;Department of Mathematics, Pondicherry University, Kalapet, Pondicherry 0 0, India$$

关键词: Shear flows;    hydrodynamic stability;    sea straits;    variable bottom.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

For the extended Taylor–Goldstein problem of hydrodynamic stability governing the stability of shear flows of an inviscid, incompressible but density stratified fluid in sea straits of arbitrary cross-section a new estimate for the growth rate of an arbitrary unstable normal mode is given for a class of basic flows. Furthermore the Howard’s conjecture, namely, the growth rate $kc_i→ 0$ as the wave number $k→∞$ is proved for two classes of basic flows.

【 授权许可】

Unknown