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Title of Journal: Appl Math MechEngl Ed

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Abbravation: Applied Mathematics and Mechanics

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Shanghai University

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DOI

10.1002/chin.199336196

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1573-2754

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Stability of stratified shear flows in channels wi

Authors: V R Reddy M Subbiah
Publish Date: 2015/11/10
Volume: 36, Issue: 11, Pages: 1459-1480
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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

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