Stability of stratified shear flows in channels with variable cross sections

doi:10.1007/s10483-015-1996-7

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (11): 1459-1480.doi: https://doi.org/10.1007/s10483-015-1996-7

Stability of stratified shear flows in channels with variable cross sections

V. R. REDDY, M. SUBBIAH

Department of Mathematics, Pondicherry University, Pondicherry 605014, India

收稿日期:2014-05-26 修回日期:2015-01-26 出版日期:2015-11-01 发布日期:2015-11-01
通讯作者: V. R. REDDY E-mail:ramakrishnareddy1986@gmail.com

Stability of stratified shear flows in channels with variable cross sections

V. R. REDDY, M. SUBBIAH

Department of Mathematics, Pondicherry University, Pondicherry 605014, India

Received:2014-05-26 Revised:2015-01-26 Online:2015-11-01 Published:2015-11-01
Contact: V. R. REDDY E-mail:ramakrishnareddy1986@gmail.com

摘要/Abstract

摘要： For the instability problem of density stratified shear flows in sea straits with variable cross sections, a new semielliptical instability region is found. Furthermore, the instability of the bounded shear layer is studied in two cases: (i) the density which takes two different constant values in two layers and (ii) the density which takes three different constant values in three layers. In both cases, the dispersion relation is found to be a quartic equation in the complex phase velocity. It is found that there are two unstable modes in a range of the wave numbers in the first case, whereas there is only one unstable mode in the second case.

关键词: hydrodynamic stability, variable density, sea strait, shear flow, variable cross section

Abstract: For the instability problem of density stratified shear flows in sea straits with variable cross sections, a new semielliptical instability region is found. Furthermore, the instability of the bounded shear layer is studied in two cases: (i) the density which takes two different constant values in two layers and (ii) the density which takes three different constant values in three layers. In both cases, the dispersion relation is found to be a quartic equation in the complex phase velocity. It is found that there are two unstable modes in a range of the wave numbers in the first case, whereas there is only one unstable mode in the second case.

Key words: variable density, hydrodynamic stability, variable cross section, shear flow, sea strait

中图分类号:

O345
O11

V. R. REDDY, M. SUBBIAH. Stability of stratified shear flows in channels with variable cross sections[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(11): 1459-1480.

参考文献

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Stability of stratified shear flows in channels with variable cross sections

Stability of stratified shear flows in channels with variable cross sections

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